Skip to content
Snippets Groups Projects
Commit a3e09125 authored by bai2795's avatar bai2795
Browse files

added Transformator - worked Einschaltvorgänge

parent 57c7e50d
Branches
No related tags found
No related merge requests found
Pipeline #65719 passed
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
width="210mm"
height="297mm"
viewBox="0 0 210 297"
version="1.1"
id="svg1"
inkscape:version="1.3.2 (1:1.3.2+202311252150+091e20ef0f)"
sodipodi:docname="transformator.svg"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns="http://www.w3.org/2000/svg"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:ns2="http://www.iki.fi/pav/software/textext/">
<sodipodi:namedview
id="namedview1"
pagecolor="#ffffff"
bordercolor="#000000"
borderopacity="0.25"
inkscape:showpageshadow="2"
inkscape:pageopacity="0.0"
inkscape:pagecheckerboard="0"
inkscape:deskcolor="#d1d1d1"
inkscape:document-units="mm"
inkscape:zoom="4.2532751"
inkscape:cx="375.00514"
inkscape:cy="436.83984"
inkscape:window-width="1920"
inkscape:window-height="1086"
inkscape:window-x="1920"
inkscape:window-y="27"
inkscape:window-maximized="1"
inkscape:current-layer="layer1" />
<defs
id="defs1">
<inkscape:perspective
sodipodi:type="inkscape:persp3d"
inkscape:vp_x="50.722914 : 115.73242 : 1"
inkscape:vp_y="0 : 1000 : 0"
inkscape:vp_z="210 : 148.5 : 1"
inkscape:persp3d-origin="105 : 99 : 1"
id="perspective1" />
</defs>
<g
inkscape:label="Layer 1"
inkscape:groupmode="layer"
id="layer1">
<rect
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
id="rect32"
width="76.442581"
height="42.518753"
x="31.425877"
y="86.596161" />
<rect
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.13922;stroke-linecap:square;stroke-opacity:1"
id="rect32-3"
width="57.034512"
height="27.613297"
x="41.12991"
y="94.048889" />
<path
id="rect32-3-2"
style="fill:none;stroke:#000000;stroke-width:0.13922;stroke-linecap:square"
d="m 98.157183,114.22681 -48.505995,0 V 94.054888"
sodipodi:nodetypes="ccc" />
<path
id="rect32-9"
style="fill:none;stroke:#000000;stroke-width:0.2;stroke-linecap:square"
d="M 39.802715,79.286331 H 116.2453 v 42.518749"
sodipodi:nodetypes="ccc" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 31.425877,86.596161 8.376838,-7.309832"
id="path32" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 41.201395,121.5907 8.376838,-7.30983"
id="path32-7" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 107.86845,129.11491 8.37685,-7.30983"
id="path33" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 107.86845,86.596161 8.37685,-7.309832"
id="path34" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 31.387373,102.40312 c -0.76115,0 -2.524566,0.74741 -3.016776,2.82028 -0.388019,1.63409 1.981151,3.09039 3.157871,3.48095 1.17672,0.39056 9.799665,1.27188 9.799665,1.27188 0,0 10.525234,0.58712 11.343432,-3.22151 0.249948,-1.16349 -2.806816,-2.2062 -2.806816,-2.2062"
id="path35-2"
sodipodi:nodetypes="cszcsc" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 31.205175,105.36211 c -0.76115,0 -2.524566,0.74741 -3.016776,2.82028 -0.388019,1.63409 1.981151,3.09039 3.157871,3.48095 1.17672,0.39056 9.799665,1.27188 9.799665,1.27188 0,0 10.525234,0.58712 11.343432,-3.22151 0.249948,-1.16349 -2.806816,-2.2062 -2.806816,-2.2062"
id="path35-2-4"
sodipodi:nodetypes="cszcsc" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 31.205189,99.847913 c -0.76115,0 -2.524566,0.747417 -3.016776,2.820287 -0.388019,1.63409 1.981151,3.09039 3.157871,3.48095 1.17672,0.39056 9.799665,1.27188 9.799665,1.27188 0,0 10.525234,0.58712 11.343432,-3.22151 0.249948,-1.16349 -2.806816,-2.2062 -2.806816,-2.2062"
id="path35-2-9"
sodipodi:nodetypes="cszcsc" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 19.900419,101.19335 c 0.55891,0 20.017541,2.08077 20.017541,2.08077 0,0 11.885832,1.82359 12.70403,-1.98504 0.249948,-1.16349 -2.806816,-2.206194 -2.806816,-2.206194"
id="path35-2-9-6"
sodipodi:nodetypes="ccsc" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 31.528468,108.70435 -11.478517,0.98603"
id="path35"
sodipodi:nodetypes="cc" />
<path
style="fill:#000000;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
id="path36"
sodipodi:type="arc"
sodipodi:cx="19.595715"
sodipodi:cy="101.17223"
sodipodi:rx="0.34480003"
sodipodi:ry="0.39094064"
sodipodi:start="0"
sodipodi:end="6.280756"
sodipodi:open="true"
sodipodi:arc-type="arc"
d="m 19.940515,101.17223 a 0.34480003,0.39094064 0 0 1 -0.344591,0.39094 0.34480003,0.39094064 0 0 1 -0.345009,-0.39046 0.34480003,0.39094064 0 0 1 0.344171,-0.39142 0.34480003,0.39094064 0 0 1 0.345428,0.38999" />
<path
style="fill:#000000;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
id="path36-1"
sodipodi:type="arc"
sodipodi:cx="125.06013"
sodipodi:cy="106.2192"
sodipodi:rx="0.34480003"
sodipodi:ry="0.39094064"
sodipodi:start="0"
sodipodi:end="6.280756"
sodipodi:open="true"
sodipodi:arc-type="arc"
d="m 125.40493,106.2192 a 0.34480003,0.39094064 0 0 1 -0.34459,0.39094 0.34480003,0.39094064 0 0 1 -0.34501,-0.39047 0.34480003,0.39094064 0 0 1 0.34417,-0.39141 0.34480003,0.39094064 0 0 1 0.34543,0.38999" />
<path
style="fill:#000000;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
id="path36-1-7"
sodipodi:type="arc"
sodipodi:cx="130.13135"
sodipodi:cy="116.29804"
sodipodi:rx="0.34480003"
sodipodi:ry="0.39094064"
sodipodi:start="0"
sodipodi:end="6.280756"
sodipodi:open="true"
sodipodi:arc-type="arc"
d="m 130.47615,116.29804 a 0.34480003,0.39094064 0 0 1 -0.34459,0.39094 0.34480003,0.39094064 0 0 1 -0.34501,-0.39046 0.34480003,0.39094064 0 0 1 0.34417,-0.39142 0.34480003,0.39094064 0 0 1 0.34543,0.38999" />
<path
style="fill:#000000;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
id="path36-3"
sodipodi:type="arc"
sodipodi:cx="19.790485"
sodipodi:cy="109.70159"
sodipodi:rx="0.34480003"
sodipodi:ry="0.39094064"
sodipodi:start="0"
sodipodi:end="6.280756"
sodipodi:open="true"
sodipodi:arc-type="arc"
d="m 20.135285,109.70159 a 0.34480003,0.39094064 0 0 1 -0.34459,0.39094 0.34480003,0.39094064 0 0 1 -0.345009,-0.39046 0.34480003,0.39094064 0 0 1 0.344171,-0.39142 0.34480003,0.39094064 0 0 1 0.345427,0.38999" />
<g
transform="matrix(0.352778 0 0 0.352778 17.8805 103.951)"
ns2:version="1.10.2"
ns2:texconverter="pdflatex"
ns2:pdfconverter="inkscape"
ns2:text="$U_0$"
ns2:preamble="/home/dhorns/.config/inkscape/extensions/textext/default_packages.tex"
ns2:scale="1.0"
ns2:alignment="middle center"
ns2:stroke-to-path="0"
id="g7312"
ns2:jacobian_sqrt="0.352778">
<defs
id="id-0e887621-c63e-4f98-a60c-4c79ea1f48f6">
<g
id="id-01a2f1f4-b40d-4895-86f5-0313f5b74d02">
<symbol
overflow="visible"
id="id-08a0bc01-c0b7-4d02-b447-a300a15fdb93">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-a5dfda57-d2d1-42cc-9017-39e78eda4f47" />
</symbol>
<symbol
overflow="visible"
id="id-f4d651e0-4c0b-44d2-b3a3-b1592a768ab6">
<path
style="stroke:none;stroke-width:0"
d="M 6.328125,-5.765625 C 6.4375,-6.171875 6.609375,-6.46875 7.40625,-6.5 c 0.046875,0 0.171875,-0.015625 0.171875,-0.203125 0,0 0,-0.109375 -0.125,-0.109375 -0.328125,0 -0.6875,0.03125 -1.015625,0.03125 -0.34375,0 -0.71875,-0.03125 -1.046875,-0.03125 -0.0625,0 -0.171875,0 -0.171875,0.203125 C 5.21875,-6.5 5.3125,-6.5 5.390625,-6.5 c 0.578125,0.015625 0.6875,0.21875 0.6875,0.4375 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 l -0.90625,3.5625 C 4.8125,-0.953125 3.65625,-0.09375 2.65625,-0.09375 c -0.671875,0 -1.203125,-0.4375 -1.203125,-1.296875 0,-0.015625 0,-0.328125 0.109375,-0.765625 L 2.515625,-6.046875 C 2.609375,-6.40625 2.625,-6.5 3.359375,-6.5 c 0.265625,0 0.34375,0 0.34375,-0.203125 0,-0.109375 -0.109375,-0.109375 -0.140625,-0.109375 -0.28125,0 -1,0.03125 -1.28125,0.03125 -0.28125,0 -1,-0.03125 -1.28125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.203125 C 0.8125,-6.5 0.890625,-6.5 1.09375,-6.5 c 0.015625,0 0.203125,0 0.375,0.015625 0.171875,0.03125 0.265625,0.03125 0.265625,0.171875 0,0.046875 -0.109375,0.46875 -0.171875,0.703125 l -0.21875,0.875 C 1.25,-4.34375 0.78125,-2.46875 0.734375,-2.265625 0.671875,-2 0.671875,-1.84375 0.671875,-1.6875 c 0,1.203125 0.90625,1.90625 1.953125,1.90625 1.25,0 2.484375,-1.125 2.8125,-2.4375 z m 0,0"
id="id-5cf43ba1-1dea-465b-9e0d-b0e0aa1e4484" />
</symbol>
<symbol
overflow="visible"
id="id-d921832d-c798-4da5-93b4-e958299698c6">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-3acaac49-df3a-4327-ad1e-5f6002a9d986" />
</symbol>
<symbol
overflow="visible"
id="id-09a3a98b-0955-4873-a766-b96cc15cf663">
<path
style="stroke:none;stroke-width:0"
d="M 3.59375,-2.21875 C 3.59375,-2.984375 3.5,-3.546875 3.1875,-4.03125 2.96875,-4.34375 2.53125,-4.625 1.984375,-4.625 c -1.625,0 -1.625,1.90625 -1.625,2.40625 0,0.5 0,2.359375 1.625,2.359375 1.609375,0 1.609375,-1.859375 1.609375,-2.359375 z M 1.984375,-0.0625 c -0.328125,0 -0.75,-0.1875 -0.890625,-0.75 C 1,-1.21875 1,-1.796875 1,-2.3125 1,-2.828125 1,-3.359375 1.09375,-3.734375 1.25,-4.28125 1.6875,-4.4375 1.984375,-4.4375 c 0.375,0 0.734375,0.234375 0.859375,0.640625 0.109375,0.375 0.125,0.875 0.125,1.484375 0,0.515625 0,1.03125 -0.09375,1.46875 -0.140625,0.640625 -0.609375,0.78125 -0.890625,0.78125 z m 0,0"
id="id-3e0e1edb-ad9f-4615-bd0c-9aaa9b97aab9" />
</symbol>
</g>
</defs>
<g
transform="translate(3.6012978,0.53865431)"
ns2:version="1.10.2"
ns2:texconverter="pdflatex"
ns2:pdfconverter="inkscape"
ns2:text="$U_1$"
ns2:preamble="/home/dhorns/.config/inkscape/extensions/textext/default_packages.tex"
ns2:scale="1.0"
ns2:alignment="middle center"
ns2:stroke-to-path="0"
id="g204"
ns2:jacobian_sqrt="1.0">
<defs
id="id-41ea137f-2971-48f1-82ad-3b5e7e4d2af0">
<g
id="id-ad16e207-42b8-4e22-afdf-538e1dc62f15">
<symbol
overflow="visible"
id="id-dbf0dceb-0270-487c-ab5e-d5d3fe68e928">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-5b85d383-999b-4a7a-982d-853780164bc2" />
</symbol>
<symbol
overflow="visible"
id="id-2b40b0ca-e911-43bb-af55-45c6e906e740">
<path
style="stroke:none;stroke-width:0"
d="M 6.328125,-5.765625 C 6.4375,-6.171875 6.609375,-6.46875 7.40625,-6.5 c 0.046875,0 0.171875,-0.015625 0.171875,-0.203125 0,0 0,-0.109375 -0.125,-0.109375 -0.328125,0 -0.6875,0.03125 -1.015625,0.03125 -0.34375,0 -0.71875,-0.03125 -1.046875,-0.03125 -0.0625,0 -0.171875,0 -0.171875,0.203125 C 5.21875,-6.5 5.3125,-6.5 5.390625,-6.5 c 0.578125,0.015625 0.6875,0.21875 0.6875,0.4375 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 l -0.90625,3.5625 C 4.8125,-0.953125 3.65625,-0.09375 2.65625,-0.09375 c -0.671875,0 -1.203125,-0.4375 -1.203125,-1.296875 0,-0.015625 0,-0.328125 0.109375,-0.765625 L 2.515625,-6.046875 C 2.609375,-6.40625 2.625,-6.5 3.359375,-6.5 c 0.265625,0 0.34375,0 0.34375,-0.203125 0,-0.109375 -0.109375,-0.109375 -0.140625,-0.109375 -0.28125,0 -1,0.03125 -1.28125,0.03125 -0.28125,0 -1,-0.03125 -1.28125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.203125 C 0.8125,-6.5 0.890625,-6.5 1.09375,-6.5 c 0.015625,0 0.203125,0 0.375,0.015625 0.171875,0.03125 0.265625,0.03125 0.265625,0.171875 0,0.046875 -0.109375,0.46875 -0.171875,0.703125 l -0.21875,0.875 C 1.25,-4.34375 0.78125,-2.46875 0.734375,-2.265625 0.671875,-2 0.671875,-1.84375 0.671875,-1.6875 c 0,1.203125 0.90625,1.90625 1.953125,1.90625 1.25,0 2.484375,-1.125 2.8125,-2.4375 z m 0,0"
id="id-a6e7f41a-2a1f-4945-8567-694753080e2b" />
</symbol>
<symbol
overflow="visible"
id="id-4b972c57-e4e8-401a-84b9-ab098a6a029b">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-ad0eaab6-9469-4ed7-be00-b7bdabe87a3f" />
</symbol>
<symbol
overflow="visible"
id="id-5c4fd013-ab2c-4c45-849f-8a1657ee8c04">
<path
style="stroke:none;stroke-width:0"
d="m 2.328125,-4.4375 c 0,-0.1875 0,-0.1875 -0.203125,-0.1875 -0.453125,0.4375 -1.078125,0.4375 -1.359375,0.4375 v 0.25 c 0.15625,0 0.625,0 1,-0.1875 v 3.546875 c 0,0.234375 0,0.328125 -0.6875,0.328125 H 0.8125 V 0 c 0.125,0 0.984375,-0.03125 1.234375,-0.03125 0.21875,0 1.09375,0.03125 1.25,0.03125 V -0.25 H 3.03125 c -0.703125,0 -0.703125,-0.09375 -0.703125,-0.328125 z m 0,0"
id="id-59b6d47b-a7b3-48bf-8b72-45719e1b8e8a" />
</symbol>
</g>
</defs>
<g
id="id-c832d4f0-1401-4af7-a309-4616cbee64a1"
transform="translate(-149.384,-127.953)">
<g
style="fill:#000000;fill-opacity:1"
id="id-272b7053-666a-49d2-97f5-6d8236bc8d87">
<g
transform="translate(148.712,134.765)"
id="g5807">
<path
style="stroke:none;stroke-width:0"
d="M 6.328125,-5.765625 C 6.4375,-6.171875 6.609375,-6.46875 7.40625,-6.5 c 0.046875,0 0.171875,-0.015625 0.171875,-0.203125 0,0 0,-0.109375 -0.125,-0.109375 -0.328125,0 -0.6875,0.03125 -1.015625,0.03125 -0.34375,0 -0.71875,-0.03125 -1.046875,-0.03125 -0.0625,0 -0.171875,0 -0.171875,0.203125 C 5.21875,-6.5 5.3125,-6.5 5.390625,-6.5 c 0.578125,0.015625 0.6875,0.21875 0.6875,0.4375 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 l -0.90625,3.5625 C 4.8125,-0.953125 3.65625,-0.09375 2.65625,-0.09375 c -0.671875,0 -1.203125,-0.4375 -1.203125,-1.296875 0,-0.015625 0,-0.328125 0.109375,-0.765625 L 2.515625,-6.046875 C 2.609375,-6.40625 2.625,-6.5 3.359375,-6.5 c 0.265625,0 0.34375,0 0.34375,-0.203125 0,-0.109375 -0.109375,-0.109375 -0.140625,-0.109375 -0.28125,0 -1,0.03125 -1.28125,0.03125 -0.28125,0 -1,-0.03125 -1.28125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.203125 C 0.8125,-6.5 0.890625,-6.5 1.09375,-6.5 c 0.015625,0 0.203125,0 0.375,0.015625 0.171875,0.03125 0.265625,0.03125 0.265625,0.171875 0,0.046875 -0.109375,0.46875 -0.171875,0.703125 l -0.21875,0.875 C 1.25,-4.34375 0.78125,-2.46875 0.734375,-2.265625 0.671875,-2 0.671875,-1.84375 0.671875,-1.6875 c 0,1.203125 0.90625,1.90625 1.953125,1.90625 1.25,0 2.484375,-1.125 2.8125,-2.4375 z m 0,0"
id="id-e66ec107-538a-40f2-b3f5-043c2945d763" />
</g>
</g>
<g
style="fill:#000000;fill-opacity:1"
id="id-dae64a46-611d-401a-b8db-6d6d40f17db1">
<g
transform="translate(155.515,136.259)"
id="g2663">
<path
style="stroke:none;stroke-width:0"
d="m 2.328125,-4.4375 c 0,-0.1875 0,-0.1875 -0.203125,-0.1875 -0.453125,0.4375 -1.078125,0.4375 -1.359375,0.4375 v 0.25 c 0.15625,0 0.625,0 1,-0.1875 v 3.546875 c 0,0.234375 0,0.328125 -0.6875,0.328125 H 0.8125 V 0 c 0.125,0 0.984375,-0.03125 1.234375,-0.03125 0.21875,0 1.09375,0.03125 1.25,0.03125 V -0.25 H 3.03125 c -0.703125,0 -0.703125,-0.09375 -0.703125,-0.328125 z m 0,0"
id="id-c890b27d-1e1c-4c9e-8f73-92b746ac4e9d" />
</g>
</g>
</g>
</g>
</g>
<g
transform="matrix(0.352778,0,0,0.352778,21.622554,131.47123)"
ns2:version="1.10.2"
ns2:texconverter="pdflatex"
ns2:pdfconverter="inkscape"
ns2:text="$N_1$ Windungen"
ns2:preamble="/home/dhorns/.config/inkscape/extensions/textext/default_packages.tex"
ns2:scale="1.0"
ns2:alignment="middle center"
ns2:stroke-to-path="0"
id="g7201"
ns2:jacobian_sqrt="0.352778">
<defs
id="id-83448aa8-e780-4267-91ad-ea485b0cfaec">
<g
id="id-7deae9e4-e9a4-4ca0-a44b-efc5f66c9df1">
<symbol
overflow="visible"
id="id-67667b2c-b87e-4f0d-b4e5-81518283be58">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-5ae2007b-9511-4160-959c-193f15b5487d" />
</symbol>
<symbol
overflow="visible"
id="id-ddbbcc86-8a20-47d0-8d97-aacf79574c8a">
<path
style="stroke:none;stroke-width:0"
d="M 7.53125,-5.765625 C 7.640625,-6.15625 7.8125,-6.46875 8.609375,-6.5 c 0.046875,0 0.171875,-0.015625 0.171875,-0.203125 0,0 0,-0.109375 -0.125,-0.109375 -0.328125,0 -0.6875,0.03125 -1.015625,0.03125 -0.328125,0 -0.6875,-0.03125 -1.015625,-0.03125 -0.0625,0 -0.171875,0 -0.171875,0.203125 C 6.453125,-6.5 6.546875,-6.5 6.625,-6.5 c 0.578125,0.015625 0.6875,0.21875 0.6875,0.4375 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 l -1.125,4.4375 L 3.953125,-6.625 C 3.875,-6.796875 3.875,-6.8125 3.640625,-6.8125 h -1.34375 c -0.1875,0 -0.28125,0 -0.28125,0.203125 0,0.109375 0.09375,0.109375 0.28125,0.109375 0.046875,0 0.671875,0 0.671875,0.09375 L 1.640625,-1.0625 c -0.109375,0.40625 -0.28125,0.71875 -1.078125,0.75 -0.0625,0 -0.171875,0.015625 -0.171875,0.203125 0,0.0625 0.046875,0.109375 0.125,0.109375 0.328125,0 0.671875,-0.03125 1,-0.03125 C 1.859375,-0.03125 2.21875,0 2.546875,0 2.59375,0 2.71875,0 2.71875,-0.203125 2.71875,-0.296875 2.625,-0.3125 2.515625,-0.3125 1.9375,-0.328125 1.859375,-0.546875 1.859375,-0.75 c 0,-0.0625 0.015625,-0.125 0.046875,-0.234375 l 1.3125,-5.25 C 3.265625,-6.1875 3.265625,-6.15625 3.3125,-6.0625 l 2.484375,5.875 C 5.859375,-0.015625 5.890625,0 5.984375,0 6.09375,0 6.09375,-0.03125 6.140625,-0.203125 Z m 0,0"
id="id-173cd389-5189-4f57-bde8-fa4d87cd7d08" />
</symbol>
<symbol
overflow="visible"
id="id-4605b894-d7f1-4255-b8bd-5ed375bf8638">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-594679df-8815-4a0c-ab4c-2a934eb7b9b5" />
</symbol>
<symbol
overflow="visible"
id="id-80ec95af-9647-40a1-ae0e-e25107b5b63e">
<path
style="stroke:none;stroke-width:0"
d="m 2.328125,-4.4375 c 0,-0.1875 0,-0.1875 -0.203125,-0.1875 -0.453125,0.4375 -1.078125,0.4375 -1.359375,0.4375 v 0.25 c 0.15625,0 0.625,0 1,-0.1875 v 3.546875 c 0,0.234375 0,0.328125 -0.6875,0.328125 H 0.8125 V 0 c 0.125,0 0.984375,-0.03125 1.234375,-0.03125 0.21875,0 1.09375,0.03125 1.25,0.03125 V -0.25 H 3.03125 c -0.703125,0 -0.703125,-0.09375 -0.703125,-0.328125 z m 0,0"
id="id-c5988656-7d33-40e8-be44-734ba351506b" />
</symbol>
<symbol
overflow="visible"
id="id-c43532d5-7684-4430-b293-1b1c9920cd90">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-595fb9a2-85f4-4724-9f0b-4f7839b1fdf8" />
</symbol>
<symbol
overflow="visible"
id="id-e367bff9-983f-41cf-a4e6-7cc6cd040fe6">
<path
style="stroke:none;stroke-width:0"
d="M 9.0625,-5.828125 C 9.234375,-6.40625 9.671875,-6.5 10.0625,-6.5 v -0.3125 c -0.296875,0.03125 -0.609375,0.03125 -0.90625,0.03125 -0.296875,0 -0.9375,-0.015625 -1.1875,-0.03125 V -6.5 c 0.671875,0.015625 0.859375,0.34375 0.859375,0.53125 0,0.0625 -0.03125,0.140625 -0.046875,0.203125 l -1.5,4.59375 -1.59375,-4.875 C 5.6875,-6.09375 5.65625,-6.15625 5.65625,-6.203125 5.65625,-6.5 6.234375,-6.5 6.5,-6.5 v -0.3125 c -0.359375,0.03125 -1.03125,0.03125 -1.421875,0.03125 -0.375,0 -0.796875,-0.015625 -1.203125,-0.03125 V -6.5 c 0.5625,0 0.765625,0 0.890625,0.359375 L 4.984375,-5.4375 3.59375,-1.171875 2,-6.078125 C 1.984375,-6.09375 1.96875,-6.171875 1.96875,-6.203125 1.96875,-6.5 2.546875,-6.5 2.8125,-6.5 v -0.3125 c -0.359375,0.03125 -1.03125,0.03125 -1.421875,0.03125 -0.375,0 -0.796875,-0.015625 -1.21875,-0.03125 V -6.5 c 0.75,0 0.796875,0.046875 0.921875,0.421875 L 3.078125,0.03125 c 0.03125,0.09375 0.0625,0.1875 0.1875,0.1875 0.140625,0 0.15625,-0.0625 0.203125,-0.203125 l 1.640625,-5.0625 1.65625,5.078125 c 0.03125,0.09375 0.0625,0.1875 0.1875,0.1875 0.140625,0 0.171875,-0.0625 0.203125,-0.203125 z m 0,0"
id="id-c7c3e163-b8e3-4bad-acf2-9f9cd7452ebd" />
</symbol>
<symbol
overflow="visible"
id="id-94434fae-af03-404b-bfaa-7b339caf2b0f">
<path
style="stroke:none;stroke-width:0"
d="M 1.765625,-4.40625 0.375,-4.296875 v 0.3125 c 0.640625,0 0.734375,0.0625 0.734375,0.546875 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 C 0.640625,-0.015625 1.1875,-0.03125 1.421875,-0.03125 1.78125,-0.03125 2.125,-0.015625 2.46875,0 v -0.3125 c -0.671875,0 -0.703125,-0.046875 -0.703125,-0.4375 z m 0.03125,-1.734375 c 0,-0.3125 -0.234375,-0.53125 -0.515625,-0.53125 -0.3125,0 -0.53125,0.265625 -0.53125,0.53125 0,0.265625 0.21875,0.53125 0.53125,0.53125 0.28125,0 0.515625,-0.21875 0.515625,-0.53125 z m 0,0"
id="id-10ca6dd0-c20e-4358-a2b2-dfe5b122dd30" />
</symbol>
<symbol
overflow="visible"
id="id-6739d731-bd79-494e-ba9e-5ef13e2fc278">
<path
style="stroke:none;stroke-width:0"
d="M 1.09375,-3.421875 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.359375,-0.015625 0.859375,-0.03125 1.140625,-0.03125 0.25,0 0.765625,0.015625 1.109375,0.03125 v -0.3125 c -0.671875,0 -0.78125,0 -0.78125,-0.4375 V -2.59375 C 1.78125,-3.625 2.5,-4.1875 3.125,-4.1875 c 0.640625,0 0.75,0.53125 0.75,1.109375 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.34375,-0.015625 0.859375,-0.03125 1.125,-0.03125 0.25,0 0.78125,0.015625 1.109375,0.03125 v -0.3125 c -0.515625,0 -0.765625,0 -0.765625,-0.296875 v -1.90625 c 0,-0.859375 0,-1.15625 -0.3125,-1.515625 -0.140625,-0.171875 -0.46875,-0.375 -1.046875,-0.375 C 2.46875,-4.40625 2,-3.984375 1.71875,-3.359375 V -4.40625 L 0.3125,-4.296875 v 0.3125 c 0.703125,0 0.78125,0.0625 0.78125,0.5625 z m 0,0"
id="id-0e25ae26-348a-4ade-8ded-efc3a5f40e3f" />
</symbol>
<symbol
overflow="visible"
id="id-bc26b037-3e41-445b-bc5e-ffa93ca02e0a">
<path
style="stroke:none;stroke-width:0"
d="m 3.78125,-0.546875 v 0.65625 L 5.25,0 v -0.3125 c -0.6875,0 -0.78125,-0.0625 -0.78125,-0.5625 V -6.921875 L 3.046875,-6.8125 V -6.5 c 0.6875,0 0.765625,0.0625 0.765625,0.5625 v 2.15625 c -0.28125,-0.359375 -0.71875,-0.625 -1.25,-0.625 -1.171875,0 -2.21875,0.984375 -2.21875,2.265625 0,1.265625 0.96875,2.25 2.109375,2.25 0.640625,0 1.078125,-0.34375 1.328125,-0.65625 z m 0,-2.671875 v 2.046875 c 0,0.171875 0,0.1875 -0.109375,0.359375 C 3.375,-0.328125 2.9375,-0.109375 2.5,-0.109375 2.046875,-0.109375 1.6875,-0.375 1.453125,-0.75 1.203125,-1.15625 1.171875,-1.71875 1.171875,-2.140625 1.171875,-2.5 1.1875,-3.09375 1.46875,-3.546875 1.6875,-3.859375 2.0625,-4.1875 2.609375,-4.1875 c 0.34375,0 0.765625,0.15625 1.0625,0.59375 0.109375,0.171875 0.109375,0.1875 0.109375,0.375 z m 0,0"
id="id-1aa49dbb-9234-4b4e-8db9-c0eafe1e288b" />
</symbol>
<symbol
overflow="visible"
id="id-d7681c35-c9c3-4198-8cc4-cdbc8ca3a5d2">
<path
style="stroke:none;stroke-width:0"
d="M 3.890625,-0.78125 V 0.109375 L 5.328125,0 V -0.3125 C 4.640625,-0.3125 4.5625,-0.375 4.5625,-0.875 v -3.53125 l -1.46875,0.109375 v 0.3125 c 0.6875,0 0.78125,0.0625 0.78125,0.5625 v 1.765625 c 0,0.875 -0.484375,1.546875 -1.21875,1.546875 -0.828125,0 -0.875,-0.46875 -0.875,-0.984375 v -3.3125 L 0.3125,-4.296875 v 0.3125 c 0.78125,0 0.78125,0.03125 0.78125,0.90625 v 1.5 c 0,0.78125 0,1.6875 1.515625,1.6875 0.5625,0 1,-0.28125 1.28125,-0.890625 z m 0,0"
id="id-6e7afec7-126e-43cd-9fd0-60afd7c4bd61" />
</symbol>
<symbol
overflow="visible"
id="id-6366980c-0ce1-4696-86b3-92d882af212d">
<path
style="stroke:none;stroke-width:0"
d="m 2.21875,-1.71875 c -0.875,0 -0.875,-1 -0.875,-1.21875 0,-0.265625 0.015625,-0.59375 0.15625,-0.84375 0.078125,-0.109375 0.3125,-0.390625 0.71875,-0.390625 0.859375,0 0.859375,0.984375 0.859375,1.21875 0,0.265625 0,0.59375 -0.15625,0.84375 C 2.84375,-2 2.609375,-1.71875 2.21875,-1.71875 Z M 1.0625,-1.328125 c 0,-0.03125 0,-0.265625 0.15625,-0.46875 0.390625,0.28125 0.8125,0.3125 1,0.3125 0.921875,0 1.609375,-0.6875 1.609375,-1.453125 0,-0.375 -0.15625,-0.734375 -0.40625,-0.96875 C 3.78125,-4.25 4.140625,-4.296875 4.3125,-4.296875 c 0.03125,0 0.078125,0 0.109375,0.015625 C 4.3125,-4.25 4.25,-4.140625 4.25,-4.015625 c 0,0.171875 0.140625,0.28125 0.296875,0.28125 0.09375,0 0.28125,-0.0625 0.28125,-0.296875 0,-0.171875 -0.109375,-0.484375 -0.5,-0.484375 -0.203125,0 -0.640625,0.0625 -1.0625,0.46875 C 2.84375,-4.375 2.4375,-4.40625 2.21875,-4.40625 c -0.9375,0 -1.625,0.6875 -1.625,1.453125 0,0.4375 0.21875,0.8125 0.46875,1.03125 -0.125,0.140625 -0.3125,0.46875 -0.3125,0.828125 0,0.3125 0.140625,0.6875 0.453125,0.890625 -0.609375,0.15625 -0.921875,0.59375 -0.921875,0.984375 0,0.71875 0.984375,1.265625 2.203125,1.265625 1.171875,0 2.203125,-0.5 2.203125,-1.28125 0,-0.34375 -0.125,-0.859375 -0.640625,-1.140625 -0.53125,-0.265625 -1.109375,-0.265625 -1.71875,-0.265625 -0.25,0 -0.671875,0 -0.75,-0.015625 C 1.265625,-0.703125 1.0625,-1 1.0625,-1.328125 Z M 2.5,1.828125 c -1.015625,0 -1.703125,-0.515625 -1.703125,-1.046875 0,-0.453125 0.375,-0.828125 0.8125,-0.84375 h 0.59375 c 0.859375,0 1.96875,0 1.96875,0.84375 0,0.546875 -0.703125,1.046875 -1.671875,1.046875 z m 0,0"
id="id-05fa7fbc-540a-423a-b384-5c3708c46dcf" />
</symbol>
<symbol
overflow="visible"
id="id-93c5ee8d-030b-4163-a8d0-5b0b10e92d30">
<path
style="stroke:none;stroke-width:0"
d="M 1.109375,-2.515625 C 1.171875,-4 2.015625,-4.25 2.359375,-4.25 c 1.015625,0 1.125,1.34375 1.125,1.734375 z m 0,0.21875 h 2.78125 c 0.21875,0 0.25,0 0.25,-0.21875 0,-0.984375 -0.546875,-1.953125 -1.78125,-1.953125 -1.15625,0 -2.078125,1.03125 -2.078125,2.28125 0,1.328125 1.046875,2.296875 2.1875,2.296875 C 3.6875,0.109375 4.140625,-1 4.140625,-1.1875 4.140625,-1.28125 4.0625,-1.3125 4,-1.3125 c -0.078125,0 -0.109375,0.0625 -0.125,0.140625 -0.34375,1.03125 -1.25,1.03125 -1.34375,1.03125 -0.5,0 -0.890625,-0.296875 -1.125,-0.671875 -0.296875,-0.46875 -0.296875,-1.125 -0.296875,-1.484375 z m 0,0"
id="id-fde20253-f059-42bb-bb43-4008ce441974" />
</symbol>
</g>
</defs>
<g
id="id-1e18e801-3fb4-4514-8e67-f6f7944f4025"
transform="translate(-149.103,-127.843)">
<g
style="fill:#000000;fill-opacity:1"
id="id-f826b77c-0fe2-430e-bd60-d61e1c61bb8e">
<g
transform="translate(148.712,134.765)"
id="g3991">
<path
style="stroke:none;stroke-width:0"
d="M 7.53125,-5.765625 C 7.640625,-6.15625 7.8125,-6.46875 8.609375,-6.5 c 0.046875,0 0.171875,-0.015625 0.171875,-0.203125 0,0 0,-0.109375 -0.125,-0.109375 -0.328125,0 -0.6875,0.03125 -1.015625,0.03125 -0.328125,0 -0.6875,-0.03125 -1.015625,-0.03125 -0.0625,0 -0.171875,0 -0.171875,0.203125 C 6.453125,-6.5 6.546875,-6.5 6.625,-6.5 c 0.578125,0.015625 0.6875,0.21875 0.6875,0.4375 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 l -1.125,4.4375 L 3.953125,-6.625 C 3.875,-6.796875 3.875,-6.8125 3.640625,-6.8125 h -1.34375 c -0.1875,0 -0.28125,0 -0.28125,0.203125 0,0.109375 0.09375,0.109375 0.28125,0.109375 0.046875,0 0.671875,0 0.671875,0.09375 L 1.640625,-1.0625 c -0.109375,0.40625 -0.28125,0.71875 -1.078125,0.75 -0.0625,0 -0.171875,0.015625 -0.171875,0.203125 0,0.0625 0.046875,0.109375 0.125,0.109375 0.328125,0 0.671875,-0.03125 1,-0.03125 C 1.859375,-0.03125 2.21875,0 2.546875,0 2.59375,0 2.71875,0 2.71875,-0.203125 2.71875,-0.296875 2.625,-0.3125 2.515625,-0.3125 1.9375,-0.328125 1.859375,-0.546875 1.859375,-0.75 c 0,-0.0625 0.015625,-0.125 0.046875,-0.234375 l 1.3125,-5.25 C 3.265625,-6.1875 3.265625,-6.15625 3.3125,-6.0625 l 2.484375,5.875 C 5.859375,-0.015625 5.890625,0 5.984375,0 6.09375,0 6.09375,-0.03125 6.140625,-0.203125 Z m 0,0"
id="id-61678b6c-f2fe-4367-b34c-ad9f20919e0e" />
</g>
</g>
<g
style="fill:#000000;fill-opacity:1"
id="id-e1f0416d-fed1-4a41-be17-29eaa4a67b43">
<g
transform="translate(156.717,136.259)"
id="g7742">
<path
style="stroke:none;stroke-width:0"
d="m 2.328125,-4.4375 c 0,-0.1875 0,-0.1875 -0.203125,-0.1875 -0.453125,0.4375 -1.078125,0.4375 -1.359375,0.4375 v 0.25 c 0.15625,0 0.625,0 1,-0.1875 v 3.546875 c 0,0.234375 0,0.328125 -0.6875,0.328125 H 0.8125 V 0 c 0.125,0 0.984375,-0.03125 1.234375,-0.03125 0.21875,0 1.09375,0.03125 1.25,0.03125 V -0.25 H 3.03125 c -0.703125,0 -0.703125,-0.09375 -0.703125,-0.328125 z m 0,0"
id="id-7bfe2b93-44fb-4f19-a3bf-9af1a5a5f02b" />
</g>
</g>
<g
style="fill:#000000;fill-opacity:1"
id="id-30f3af94-5d5a-4844-be68-9e3423abeede">
<g
transform="translate(164.507,134.765)"
id="g9761">
<path
style="stroke:none;stroke-width:0"
d="M 9.0625,-5.828125 C 9.234375,-6.40625 9.671875,-6.5 10.0625,-6.5 v -0.3125 c -0.296875,0.03125 -0.609375,0.03125 -0.90625,0.03125 -0.296875,0 -0.9375,-0.015625 -1.1875,-0.03125 V -6.5 c 0.671875,0.015625 0.859375,0.34375 0.859375,0.53125 0,0.0625 -0.03125,0.140625 -0.046875,0.203125 l -1.5,4.59375 -1.59375,-4.875 C 5.6875,-6.09375 5.65625,-6.15625 5.65625,-6.203125 5.65625,-6.5 6.234375,-6.5 6.5,-6.5 v -0.3125 c -0.359375,0.03125 -1.03125,0.03125 -1.421875,0.03125 -0.375,0 -0.796875,-0.015625 -1.203125,-0.03125 V -6.5 c 0.5625,0 0.765625,0 0.890625,0.359375 L 4.984375,-5.4375 3.59375,-1.171875 2,-6.078125 C 1.984375,-6.09375 1.96875,-6.171875 1.96875,-6.203125 1.96875,-6.5 2.546875,-6.5 2.8125,-6.5 v -0.3125 c -0.359375,0.03125 -1.03125,0.03125 -1.421875,0.03125 -0.375,0 -0.796875,-0.015625 -1.21875,-0.03125 V -6.5 c 0.75,0 0.796875,0.046875 0.921875,0.421875 L 3.078125,0.03125 c 0.03125,0.09375 0.0625,0.1875 0.1875,0.1875 0.140625,0 0.15625,-0.0625 0.203125,-0.203125 l 1.640625,-5.0625 1.65625,5.078125 c 0.03125,0.09375 0.0625,0.1875 0.1875,0.1875 0.140625,0 0.171875,-0.0625 0.203125,-0.203125 z m 0,0"
id="id-effc287c-678a-46b1-9734-d14b31ba529f" />
</g>
<g
transform="translate(174.747,134.765)"
id="g774">
<path
style="stroke:none;stroke-width:0"
d="M 1.765625,-4.40625 0.375,-4.296875 v 0.3125 c 0.640625,0 0.734375,0.0625 0.734375,0.546875 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 C 0.640625,-0.015625 1.1875,-0.03125 1.421875,-0.03125 1.78125,-0.03125 2.125,-0.015625 2.46875,0 v -0.3125 c -0.671875,0 -0.703125,-0.046875 -0.703125,-0.4375 z m 0.03125,-1.734375 c 0,-0.3125 -0.234375,-0.53125 -0.515625,-0.53125 -0.3125,0 -0.53125,0.265625 -0.53125,0.53125 0,0.265625 0.21875,0.53125 0.53125,0.53125 0.28125,0 0.515625,-0.21875 0.515625,-0.53125 z m 0,0"
id="id-da29124c-f253-4cd7-8922-99c4015e4ba4" />
</g>
<g
transform="translate(177.514,134.765)"
id="g7636">
<path
style="stroke:none;stroke-width:0"
d="M 1.09375,-3.421875 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.359375,-0.015625 0.859375,-0.03125 1.140625,-0.03125 0.25,0 0.765625,0.015625 1.109375,0.03125 v -0.3125 c -0.671875,0 -0.78125,0 -0.78125,-0.4375 V -2.59375 C 1.78125,-3.625 2.5,-4.1875 3.125,-4.1875 c 0.640625,0 0.75,0.53125 0.75,1.109375 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.34375,-0.015625 0.859375,-0.03125 1.125,-0.03125 0.25,0 0.78125,0.015625 1.109375,0.03125 v -0.3125 c -0.515625,0 -0.765625,0 -0.765625,-0.296875 v -1.90625 c 0,-0.859375 0,-1.15625 -0.3125,-1.515625 -0.140625,-0.171875 -0.46875,-0.375 -1.046875,-0.375 C 2.46875,-4.40625 2,-3.984375 1.71875,-3.359375 V -4.40625 L 0.3125,-4.296875 v 0.3125 c 0.703125,0 0.78125,0.0625 0.78125,0.5625 z m 0,0"
id="id-822af668-4f09-42af-af35-53b8f7c6e94f" />
</g>
<g
transform="translate(183.049,134.765)"
id="g1086">
<path
style="stroke:none;stroke-width:0"
d="m 3.78125,-0.546875 v 0.65625 L 5.25,0 v -0.3125 c -0.6875,0 -0.78125,-0.0625 -0.78125,-0.5625 V -6.921875 L 3.046875,-6.8125 V -6.5 c 0.6875,0 0.765625,0.0625 0.765625,0.5625 v 2.15625 c -0.28125,-0.359375 -0.71875,-0.625 -1.25,-0.625 -1.171875,0 -2.21875,0.984375 -2.21875,2.265625 0,1.265625 0.96875,2.25 2.109375,2.25 0.640625,0 1.078125,-0.34375 1.328125,-0.65625 z m 0,-2.671875 v 2.046875 c 0,0.171875 0,0.1875 -0.109375,0.359375 C 3.375,-0.328125 2.9375,-0.109375 2.5,-0.109375 2.046875,-0.109375 1.6875,-0.375 1.453125,-0.75 1.203125,-1.15625 1.171875,-1.71875 1.171875,-2.140625 1.171875,-2.5 1.1875,-3.09375 1.46875,-3.546875 1.6875,-3.859375 2.0625,-4.1875 2.609375,-4.1875 c 0.34375,0 0.765625,0.15625 1.0625,0.59375 0.109375,0.171875 0.109375,0.1875 0.109375,0.375 z m 0,0"
id="id-a23cb071-978c-42cd-abf6-fd19c526dccb" />
</g>
<g
transform="translate(188.585,134.765)"
id="g929">
<path
style="stroke:none;stroke-width:0"
d="M 3.890625,-0.78125 V 0.109375 L 5.328125,0 V -0.3125 C 4.640625,-0.3125 4.5625,-0.375 4.5625,-0.875 v -3.53125 l -1.46875,0.109375 v 0.3125 c 0.6875,0 0.78125,0.0625 0.78125,0.5625 v 1.765625 c 0,0.875 -0.484375,1.546875 -1.21875,1.546875 -0.828125,0 -0.875,-0.46875 -0.875,-0.984375 v -3.3125 L 0.3125,-4.296875 v 0.3125 c 0.78125,0 0.78125,0.03125 0.78125,0.90625 v 1.5 c 0,0.78125 0,1.6875 1.515625,1.6875 0.5625,0 1,-0.28125 1.28125,-0.890625 z m 0,0"
id="id-f9f30e6b-bb71-433a-a1ed-768caac61629" />
</g>
<g
transform="translate(194.12,134.765)"
id="g718">
<path
style="stroke:none;stroke-width:0"
d="M 1.09375,-3.421875 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.359375,-0.015625 0.859375,-0.03125 1.140625,-0.03125 0.25,0 0.765625,0.015625 1.109375,0.03125 v -0.3125 c -0.671875,0 -0.78125,0 -0.78125,-0.4375 V -2.59375 C 1.78125,-3.625 2.5,-4.1875 3.125,-4.1875 c 0.640625,0 0.75,0.53125 0.75,1.109375 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.34375,-0.015625 0.859375,-0.03125 1.125,-0.03125 0.25,0 0.78125,0.015625 1.109375,0.03125 v -0.3125 c -0.515625,0 -0.765625,0 -0.765625,-0.296875 v -1.90625 c 0,-0.859375 0,-1.15625 -0.3125,-1.515625 -0.140625,-0.171875 -0.46875,-0.375 -1.046875,-0.375 C 2.46875,-4.40625 2,-3.984375 1.71875,-3.359375 V -4.40625 L 0.3125,-4.296875 v 0.3125 c 0.703125,0 0.78125,0.0625 0.78125,0.5625 z m 0,0"
id="id-17c21b51-b03b-41dc-a112-3e3c1ed4275c" />
</g>
<g
transform="translate(199.655,134.765)"
id="g507">
<path
style="stroke:none;stroke-width:0"
d="m 2.21875,-1.71875 c -0.875,0 -0.875,-1 -0.875,-1.21875 0,-0.265625 0.015625,-0.59375 0.15625,-0.84375 0.078125,-0.109375 0.3125,-0.390625 0.71875,-0.390625 0.859375,0 0.859375,0.984375 0.859375,1.21875 0,0.265625 0,0.59375 -0.15625,0.84375 C 2.84375,-2 2.609375,-1.71875 2.21875,-1.71875 Z M 1.0625,-1.328125 c 0,-0.03125 0,-0.265625 0.15625,-0.46875 0.390625,0.28125 0.8125,0.3125 1,0.3125 0.921875,0 1.609375,-0.6875 1.609375,-1.453125 0,-0.375 -0.15625,-0.734375 -0.40625,-0.96875 C 3.78125,-4.25 4.140625,-4.296875 4.3125,-4.296875 c 0.03125,0 0.078125,0 0.109375,0.015625 C 4.3125,-4.25 4.25,-4.140625 4.25,-4.015625 c 0,0.171875 0.140625,0.28125 0.296875,0.28125 0.09375,0 0.28125,-0.0625 0.28125,-0.296875 0,-0.171875 -0.109375,-0.484375 -0.5,-0.484375 -0.203125,0 -0.640625,0.0625 -1.0625,0.46875 C 2.84375,-4.375 2.4375,-4.40625 2.21875,-4.40625 c -0.9375,0 -1.625,0.6875 -1.625,1.453125 0,0.4375 0.21875,0.8125 0.46875,1.03125 -0.125,0.140625 -0.3125,0.46875 -0.3125,0.828125 0,0.3125 0.140625,0.6875 0.453125,0.890625 -0.609375,0.15625 -0.921875,0.59375 -0.921875,0.984375 0,0.71875 0.984375,1.265625 2.203125,1.265625 1.171875,0 2.203125,-0.5 2.203125,-1.28125 0,-0.34375 -0.125,-0.859375 -0.640625,-1.140625 -0.53125,-0.265625 -1.109375,-0.265625 -1.71875,-0.265625 -0.25,0 -0.671875,0 -0.75,-0.015625 C 1.265625,-0.703125 1.0625,-1 1.0625,-1.328125 Z M 2.5,1.828125 c -1.015625,0 -1.703125,-0.515625 -1.703125,-1.046875 0,-0.453125 0.375,-0.828125 0.8125,-0.84375 h 0.59375 c 0.859375,0 1.96875,0 1.96875,0.84375 0,0.546875 -0.703125,1.046875 -1.671875,1.046875 z m 0,0"
id="id-8f1451c4-82ff-493c-bb5d-2b0b79843ba3" />
</g>
<g
transform="translate(204.636,134.765)"
id="g3699">
<path
style="stroke:none;stroke-width:0"
d="M 1.109375,-2.515625 C 1.171875,-4 2.015625,-4.25 2.359375,-4.25 c 1.015625,0 1.125,1.34375 1.125,1.734375 z m 0,0.21875 h 2.78125 c 0.21875,0 0.25,0 0.25,-0.21875 0,-0.984375 -0.546875,-1.953125 -1.78125,-1.953125 -1.15625,0 -2.078125,1.03125 -2.078125,2.28125 0,1.328125 1.046875,2.296875 2.1875,2.296875 C 3.6875,0.109375 4.140625,-1 4.140625,-1.1875 4.140625,-1.28125 4.0625,-1.3125 4,-1.3125 c -0.078125,0 -0.109375,0.0625 -0.125,0.140625 -0.34375,1.03125 -1.25,1.03125 -1.34375,1.03125 -0.5,0 -0.890625,-0.296875 -1.125,-0.671875 -0.296875,-0.46875 -0.296875,-1.125 -0.296875,-1.484375 z m 0,0"
id="id-4a71fff6-9150-415f-91f9-b45b6afd3793" />
</g>
<g
transform="translate(209.064,134.765)"
id="g2355">
<path
style="stroke:none;stroke-width:0"
d="M 1.09375,-3.421875 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.359375,-0.015625 0.859375,-0.03125 1.140625,-0.03125 0.25,0 0.765625,0.015625 1.109375,0.03125 v -0.3125 c -0.671875,0 -0.78125,0 -0.78125,-0.4375 V -2.59375 C 1.78125,-3.625 2.5,-4.1875 3.125,-4.1875 c 0.640625,0 0.75,0.53125 0.75,1.109375 V -0.75 c 0,0.4375 -0.109375,0.4375 -0.78125,0.4375 V 0 c 0.34375,-0.015625 0.859375,-0.03125 1.125,-0.03125 0.25,0 0.78125,0.015625 1.109375,0.03125 v -0.3125 c -0.515625,0 -0.765625,0 -0.765625,-0.296875 v -1.90625 c 0,-0.859375 0,-1.15625 -0.3125,-1.515625 -0.140625,-0.171875 -0.46875,-0.375 -1.046875,-0.375 C 2.46875,-4.40625 2,-3.984375 1.71875,-3.359375 V -4.40625 L 0.3125,-4.296875 v 0.3125 c 0.703125,0 0.78125,0.0625 0.78125,0.5625 z m 0,0"
id="id-9183359d-ceb6-4034-bdf4-2608767a6d94" />
</g>
</g>
</g>
</g>
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 130.47519,116.30529 -32.310769,0.37812 c 0,0 -1.513929,0.15518 -2.315089,-1.1159 -0.80116,-1.27109 2.315089,-2.58894 2.315089,-2.58894"
id="path37"
sodipodi:nodetypes="cczc" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 116.3864,112.57772 c 0,0 2.56797,-0.34975 1.83323,-0.75695 -1.00157,-0.55507 -4.57817,-0.14003 -7.24288,-0.18714 -3.73187,-0.066 -8.79025,0.36843 -10.76356,0.34582 -1.375465,-0.0158 -3.240596,0.0295 -3.896586,-1.17954 -0.589243,-1.08605 1.847817,-2.94437 1.847817,-2.94437"
id="path38"
sodipodi:nodetypes="cssssc" />
<path
style="fill:none;fill-opacity:1;stroke:#000000;stroke-width:0.2;stroke-linecap:square;stroke-opacity:1"
d="m 116.38639,106.14125 9.01854,0.077"
id="path39"
sodipodi:nodetypes="cc" />
<g
transform="matrix(0.352778,0,0,0.352778,126.28343,109.14176)"
ns2:version="1.10.2"
ns2:texconverter="pdflatex"
ns2:pdfconverter="inkscape"
ns2:text="$U_2$"
ns2:preamble="/home/dhorns/.config/inkscape/extensions/textext/default_packages.tex"
ns2:scale="1.0"
ns2:alignment="middle center"
ns2:stroke-to-path="0"
id="g5010"
ns2:jacobian_sqrt="0.352778">
<defs
id="id-52a355ff-7488-4843-834d-55b5943af109">
<g
id="id-7a6f24c1-754e-4bb8-bafd-f0d3ea09e036">
<symbol
overflow="visible"
id="id-bd02bfe2-8c3f-42da-b5bc-3ce637e6ab5d">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-3cad0bf3-4e1c-4f1f-8264-108344330410" />
</symbol>
<symbol
overflow="visible"
id="id-7aab71ca-255a-48fd-8d56-ae4025b36cf5">
<path
style="stroke:none;stroke-width:0"
d="M 6.328125,-5.765625 C 6.4375,-6.171875 6.609375,-6.46875 7.40625,-6.5 c 0.046875,0 0.171875,-0.015625 0.171875,-0.203125 0,0 0,-0.109375 -0.125,-0.109375 -0.328125,0 -0.6875,0.03125 -1.015625,0.03125 -0.34375,0 -0.71875,-0.03125 -1.046875,-0.03125 -0.0625,0 -0.171875,0 -0.171875,0.203125 C 5.21875,-6.5 5.3125,-6.5 5.390625,-6.5 c 0.578125,0.015625 0.6875,0.21875 0.6875,0.4375 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 l -0.90625,3.5625 C 4.8125,-0.953125 3.65625,-0.09375 2.65625,-0.09375 c -0.671875,0 -1.203125,-0.4375 -1.203125,-1.296875 0,-0.015625 0,-0.328125 0.109375,-0.765625 L 2.515625,-6.046875 C 2.609375,-6.40625 2.625,-6.5 3.359375,-6.5 c 0.265625,0 0.34375,0 0.34375,-0.203125 0,-0.109375 -0.109375,-0.109375 -0.140625,-0.109375 -0.28125,0 -1,0.03125 -1.28125,0.03125 -0.28125,0 -1,-0.03125 -1.28125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.203125 C 0.8125,-6.5 0.890625,-6.5 1.09375,-6.5 c 0.015625,0 0.203125,0 0.375,0.015625 0.171875,0.03125 0.265625,0.03125 0.265625,0.171875 0,0.046875 -0.109375,0.46875 -0.171875,0.703125 l -0.21875,0.875 C 1.25,-4.34375 0.78125,-2.46875 0.734375,-2.265625 0.671875,-2 0.671875,-1.84375 0.671875,-1.6875 c 0,1.203125 0.90625,1.90625 1.953125,1.90625 1.25,0 2.484375,-1.125 2.8125,-2.4375 z m 0,0"
id="id-e618b3f3-faaf-4087-8f7e-64beb94bf8dd" />
</symbol>
<symbol
overflow="visible"
id="id-4de377cb-24b4-4cc8-9973-16cf02a5aac3">
<path
style="stroke:none;stroke-width:0"
d=""
id="id-575ce071-cb24-4f51-9999-4519ef057758" />
</symbol>
<symbol
overflow="visible"
id="id-554a3fe7-2392-49b7-983f-599b67246f29">
<path
style="stroke:none;stroke-width:0"
d="M 3.515625,-1.265625 H 3.28125 c -0.015625,0.15625 -0.09375,0.5625 -0.1875,0.625 C 3.046875,-0.59375 2.515625,-0.59375 2.40625,-0.59375 H 1.125 c 0.734375,-0.640625 0.984375,-0.84375 1.390625,-1.171875 0.515625,-0.40625 1,-0.84375 1,-1.5 0,-0.84375 -0.734375,-1.359375 -1.625,-1.359375 -0.859375,0 -1.453125,0.609375 -1.453125,1.25 0,0.34375 0.296875,0.390625 0.375,0.390625 0.15625,0 0.359375,-0.125 0.359375,-0.375 0,-0.125 -0.046875,-0.375 -0.40625,-0.375 C 0.984375,-4.21875 1.453125,-4.375 1.78125,-4.375 c 0.703125,0 1.0625,0.546875 1.0625,1.109375 0,0.609375 -0.4375,1.078125 -0.65625,1.328125 L 0.515625,-0.265625 C 0.4375,-0.203125 0.4375,-0.1875 0.4375,0 h 2.875 z m 0,0"
id="id-63f93414-8173-4bd6-a547-e169e672e408" />
</symbol>
</g>
</defs>
<g
id="id-51577737-194a-4897-b263-55340e366dfd"
transform="translate(-149.384,-127.953)">
<g
style="fill:#000000;fill-opacity:1"
id="id-6359efa2-2cd4-4c02-a017-fd0c21c50370">
<g
transform="translate(148.712,134.765)"
id="g1914">
<path
style="stroke:none;stroke-width:0"
d="M 6.328125,-5.765625 C 6.4375,-6.171875 6.609375,-6.46875 7.40625,-6.5 c 0.046875,0 0.171875,-0.015625 0.171875,-0.203125 0,0 0,-0.109375 -0.125,-0.109375 -0.328125,0 -0.6875,0.03125 -1.015625,0.03125 -0.34375,0 -0.71875,-0.03125 -1.046875,-0.03125 -0.0625,0 -0.171875,0 -0.171875,0.203125 C 5.21875,-6.5 5.3125,-6.5 5.390625,-6.5 c 0.578125,0.015625 0.6875,0.21875 0.6875,0.4375 0,0.03125 -0.03125,0.1875 -0.03125,0.203125 l -0.90625,3.5625 C 4.8125,-0.953125 3.65625,-0.09375 2.65625,-0.09375 c -0.671875,0 -1.203125,-0.4375 -1.203125,-1.296875 0,-0.015625 0,-0.328125 0.109375,-0.765625 L 2.515625,-6.046875 C 2.609375,-6.40625 2.625,-6.5 3.359375,-6.5 c 0.265625,0 0.34375,0 0.34375,-0.203125 0,-0.109375 -0.109375,-0.109375 -0.140625,-0.109375 -0.28125,0 -1,0.03125 -1.28125,0.03125 -0.28125,0 -1,-0.03125 -1.28125,-0.03125 -0.078125,0 -0.1875,0 -0.1875,0.203125 C 0.8125,-6.5 0.890625,-6.5 1.09375,-6.5 c 0.015625,0 0.203125,0 0.375,0.015625 0.171875,0.03125 0.265625,0.03125 0.265625,0.171875 0,0.046875 -0.109375,0.46875 -0.171875,0.703125 l -0.21875,0.875 C 1.25,-4.34375 0.78125,-2.46875 0.734375,-2.265625 0.671875,-2 0.671875,-1.84375 0.671875,-1.6875 c 0,1.203125 0.90625,1.90625 1.953125,1.90625 1.25,0 2.484375,-1.125 2.8125,-2.4375 z m 0,0"
id="id-71c36d36-a4ff-44df-b844-37a2760cdf4b" />
</g>
</g>
<g
style="fill:#000000;fill-opacity:1"
id="id-916dc968-6493-4c9a-898d-537b05eb05cf">
<g
transform="translate(155.515,136.259)"
id="g993">
<path
style="stroke:none;stroke-width:0"
d="M 3.515625,-1.265625 H 3.28125 c -0.015625,0.15625 -0.09375,0.5625 -0.1875,0.625 C 3.046875,-0.59375 2.515625,-0.59375 2.40625,-0.59375 H 1.125 c 0.734375,-0.640625 0.984375,-0.84375 1.390625,-1.171875 0.515625,-0.40625 1,-0.84375 1,-1.5 0,-0.84375 -0.734375,-1.359375 -1.625,-1.359375 -0.859375,0 -1.453125,0.609375 -1.453125,1.25 0,0.34375 0.296875,0.390625 0.375,0.390625 0.15625,0 0.359375,-0.125 0.359375,-0.375 0,-0.125 -0.046875,-0.375 -0.40625,-0.375 C 0.984375,-4.21875 1.453125,-4.375 1.78125,-4.375 c 0.703125,0 1.0625,0.546875 1.0625,1.109375 0,0.609375 -0.4375,1.078125 -0.65625,1.328125 L 0.515625,-0.265625 C 0.4375,-0.203125 0.4375,-0.1875 0.4375,0 h 2.875 z m 0,0"
id="id-01dcd588-d09a-4df6-b009-2f4c2c023dbc" />
</g>
</g>
</g>
</g>
</g>
</svg>
...@@ -163,7 +163,7 @@ fließen l\"asst. Wir erhalten die Differenzialgleichung f\"ur $I$: ...@@ -163,7 +163,7 @@ fließen l\"asst. Wir erhalten die Differenzialgleichung f\"ur $I$:
\ddot{I} = -\frac{1}{LC} I \ddot{I} = -\frac{1}{LC} I
\end{equation} \end{equation}
mit der Randbedingung $I(t=0)=0$ l\"asst sich diese Gleichung (harmonischer Oszillator) mit der Randbedingung $I(t=0)=0$ l\"asst sich diese Gleichung (harmonischer Oszillator)
mit dem Ansatz l\"osen $I(t)=I_0 \sin(\omega t)$. Um die Kreisfrequenz $\omega$ mit dem Ansatz l\"osen $I(t)=I_0 \sin(\omega t+\alpha)$. Um die Kreisfrequenz $\omega$
zu bestimmen, rechnen wir zu bestimmen, rechnen wir
$$\ddot{I}=-\omega^2\,I_0\,\sin(\omega t)=-\omega^2\,I(t),$$ $$\ddot{I}=-\omega^2\,I_0\,\sin(\omega t)=-\omega^2\,I(t),$$
damit ergibt sich aus dem Vergleich mit Gl.~\ref{eqn:current} damit ergibt sich aus dem Vergleich mit Gl.~\ref{eqn:current}
......
v0.1/figures/transformator.png

40.5 KiB

...@@ -117,8 +117,27 @@ elektromotischen Kraft (EMK) in einigen Lehrbüchern. ...@@ -117,8 +117,27 @@ elektromotischen Kraft (EMK) in einigen Lehrbüchern.
weiter verstärkt. Das würde wiederum einen größeren Strom induzieren. weiter verstärkt. Das würde wiederum einen größeren Strom induzieren.
Eine sich in dieser Weise selbst-verstärkende Reaktion nennen wir auch Instabilität. Eine sich in dieser Weise selbst-verstärkende Reaktion nennen wir auch Instabilität.
\textbf{Demonstrationsexperiment: Lenz'sche Regel mit Ring-Kanone, Gauss-Kanone} \textbf{Demonstrationsexperiment: Lenz'sche Regel mit Ring-Kanone, Gauss-Kanone}
\section{Generator}
\label{section:generator}
Ein zeitlich sich ändernder magnetischer Fluss erzeugt eine induzierte Spannung. Die technische wichtigste Nutzung ist der Generator, bei
dem wir Bewegungsenergie in elektrische Energie umwandeln. Der einfachste Wechselstromgenerator besteht aus einer drehbaren Spule in einem
äußeren Magnetfeld $B$ (z.B. ein Hufeisenmagnet). Wenn sich die Spule mit $N$ Windungen und der Fläche $A$ im äußeren Magnetfeld dreht,
wird der magnetische Fluss durch
die rotierende Fläche, die von der Spule aufgespannt wird, periodisch mit der Kreisfrequenz $\omega$ moduliert:
\[
\varphi_m = NBA\cos\omega t.
\]
In der Spule wird dann die Spannung $U_\mathrm{ind}=-\dot\varphi_m$, also
\[
U_\mathrm{ind} = -NBA\omega \sin(\omega t)
\]
induziert.
\section{Wirbelströme} \section{Wirbelströme}
Bislang haben wir die induzierten Ströme in Kabeln betrachtet. Für den Fall, dass wir Bislang haben wir die induzierten Ströme in Kabeln betrachtet. Für den Fall, dass wir
Ströme in massiven Objekten aus leitendem Material erzeugen, kommt es zur Ausbildung von Ströme in massiven Objekten aus leitendem Material erzeugen, kommt es zur Ausbildung von
...@@ -154,8 +173,7 @@ Anziehung dazu führen, dass eine Gesamtkraft der Bewegungsrichtung entgegenwirk ...@@ -154,8 +173,7 @@ Anziehung dazu führen, dass eine Gesamtkraft der Bewegungsrichtung entgegenwirk
Kraft ist proportional zur Geschwindigkeit und verhält sich also ganz ähnlich zu Newton'scher Kraft ist proportional zur Geschwindigkeit und verhält sich also ganz ähnlich zu Newton'scher
Reibung.} Reibung.}
\end{figure} \end{figure}
\section{Anwendung: Transformator}
tbd.
\section{Selbst- und Gegeninduktion} \section{Selbst- und Gegeninduktion}
\subsection{Selbstinduktion: Induktivität $L$} \subsection{Selbstinduktion: Induktivität $L$}
Jede Flussänderung induziert eine Spannung, die nach der Lenz'schen Regel der Flussänderung Jede Flussänderung induziert eine Spannung, die nach der Lenz'schen Regel der Flussänderung
...@@ -210,6 +228,42 @@ induziert eine Spannung $U_\mathrm{ind}$, die der Änderung entgegenwirkt, also ...@@ -210,6 +228,42 @@ induziert eine Spannung $U_\mathrm{ind}$, die der Änderung entgegenwirkt, also
TBD. TBD.
\subsection{Anwendung: Transformator}
Wir betrachten eine Spule (Primärwicklung) mit $N_1$ Windungen auf einem Eisenjoch (z.B. laminiertes Harteisen) - siehe
Abbildung~\ref{fig:transformator}. Auf dem selben Eisenjoch
ist eine Sekundärwicklung mit $N_2$ Windungen angebracht. Wenn wir jetzt die Primärwicklung mit einem Generator (siehe Abschnitt
~\ref{section:generator}) verbinden, erzeugen wir einen zeitlich variierenden magnetischen Fluss
\[ U_1 = - N_1 \dot\varphi.\]
Der magnetische Fluss $\varphi$ wird im idealen, verlustfreien Transformator durch das Eisenjoch geleitet, so dass die Sekundärspule
den selben Fluss sieht, so dass dort die Spannung
\[ U_2 = - N_2 \dot \varphi \]
induziert wird.
Für das Verhältnis der Spannungen im Falle eines unbelasteten Transformators ergibt sich
\[
\frac{U_1}{U_2} = \frac{N_1}{N_2}.
\]
Andererseits kann die Leistung $P=U_1 I_1=U_2 I_2$ aufgrund der Energieerhaltung sich nicht ändern, so dass
\[ \frac{I_2}{I_1} = \frac{N_1}{N_2} \]
gelten muss.
\begin{figure}
\begin{center}
\includegraphics[width=0.7\linewidth]{figures/transformator.png}
\end{center}
\caption{\label{fig:transformator} Schematische Darstellung eines Transformators.}
\end{figure}
Mit einem Transformator lässt sich die Spannung an der Sekundärwicklung durch ein geeignet gewähltes Verhältnis
der Wicklungen entweder hochtransformieren ($N_2>N_1$) oder heruntertransformieren ($N_2<N_1$). Die Ströme in
der Sekundärspule werden beim Hochtransformieren um das selbe Verhältnis verkleinert. Beim Heruntertransformieren werden die Ströme
vergrößert.
Im Detail ist beim Transformator zu berücksichtigen, dass ein Teil des magnetischen Flusses nicht in der Sekundärspule ankommt. Ein weiterer
wichtiger Punkt ist die Phasenlage der beiden Wechselströme, die durch eine Belastung der Sekundärspule modifizert wird. Interessant
ist auch die Orientierung der Wicklungen zueinander (siehe auch hier die Abbildung~\ref{fig:transformator}).
\section{Maxwell'scher Verschiebungsstrom: Amp\`ere-Maxwell-Gleichung} \section{Maxwell'scher Verschiebungsstrom: Amp\`ere-Maxwell-Gleichung}
\label{section:maxwell-strom} \label{section:maxwell-strom}
......
0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Please register or to comment