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Electrical current - Wikiversity

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//upload.wikimedia.org/wikipedia/commons/thumb/8/83/Progress-0750.svg/72px-Progress-0750.svg.png 2x" data-file-width="9" data-file-height="9" /></a></span></td> <td class="projectbox-text"><b><a href="/wiki/Help:Resources_by_completion_status" title="Help:Resources by completion status">Completion status</a></b>: this resource is ~75% complete.</td> </tr></tbody></table> </div><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2414743"> <p><big>Welcome to this lesson on Electrical Current.</big> </p> <div style="clear:both;"></div> <div class="mw-heading mw-heading2"><h2 id="Purpose">Purpose</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=1" title="Edit section: Purpose" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Purpose"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In this lesson, the flow of electrons, electrical current, is described and characterized in contexts of voltage, resistance, and simple, useful electric components. </p> <div class="mw-heading mw-heading2"><h2 id="Definition_of_Electrical_current">Definition of Electrical current</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=2" title="Edit section: Definition of Electrical current" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Definition of Electrical current"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>An <b>electric current</b> is a flow of <a href="/w/index.php?title=Electric_charge&amp;action=edit&amp;redlink=1" class="new" title="Electric charge (page does not exist)">electric charge</a>. In electric circuits this charge is often carried by moving <a href="/w/index.php?title=Electron&amp;action=edit&amp;redlink=1" class="new" title="Electron (page does not exist)">electrons</a> in a <a href="/w/index.php?title=Wire&amp;action=edit&amp;redlink=1" class="new" title="Wire (page does not exist)">wire</a>. Electric current is denoted as <b>I</b> measured in unit Ampere <b>A</b> </p> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Ampere_coulomb.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Ampere_coulomb.svg/220px-Ampere_coulomb.svg.png" decoding="async" width="220" height="61" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Ampere_coulomb.svg/330px-Ampere_coulomb.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c8/Ampere_coulomb.svg/440px-Ampere_coulomb.svg.png 2x" data-file-width="540" data-file-height="150" /></a><figcaption>movement of electrons in a conductor</figcaption></figure><p>Electrical current(or current)is movement of electrons in a conductor. Since electrons need not be bound to atoms, it is important to exclude atoms, conductors, resistors, what have you in our definition of current flow. </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I={\frac {Q}{t}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>Q</mi> <mi>t</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I={\frac {Q}{t}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3483ade97a0305b1a02a4a3097c837f69058a56f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.945ex; height:5.343ex;" alt="{\displaystyle I={\frac {Q}{t}}}"></span> where Q is charge (units of Coulombs), t is time. An amp is equal to one coulomb per second. </p> <div style="clear:both;"></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Electron_flow_in_a_conductor.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Electron_flow_in_a_conductor.svg/220px-Electron_flow_in_a_conductor.svg.png" decoding="async" width="220" height="122" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Electron_flow_in_a_conductor.svg/330px-Electron_flow_in_a_conductor.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Electron_flow_in_a_conductor.svg/440px-Electron_flow_in_a_conductor.svg.png 2x" data-file-width="450" data-file-height="250" /></a><figcaption>voltage movement of electrons</figcaption></figure><p>A voltage or electromotive force causes movement of electrons in a conductor. </p><dl><dd>Ohm's law <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E=IR}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>I</mi> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=IR}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37d1f57f890eceba135bdd1987bcb2e5d43e82e6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.81ex; height:2.176ex;" alt="{\displaystyle E=IR}"></span></dd></dl> <p>Hence, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I={\frac {E}{R}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>E</mi> <mi>R</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I={\frac {E}{R}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/aec61b4ec2b544834956a4a87539602819896637" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:6.882ex; height:5.343ex;" alt="{\displaystyle I={\frac {E}{R}}}"></span> where E is voltage (Volts), I is current (Amps), and R is resistance (Ohms) </p> <div style="clear:both;"></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Solenoid-1.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Solenoid-1.png/220px-Solenoid-1.png" decoding="async" width="220" height="78" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Solenoid-1.png/330px-Solenoid-1.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Solenoid-1.png/440px-Solenoid-1.png 2x" data-file-width="1060" data-file-height="376" /></a><figcaption>movement of electrons in a coil conductor</figcaption></figure><p>Electrical current(or current)is movement of electrons in a conductor.Since electrons need not be bound to atoms, it is important to exclude atoms, conductors, resistors, what have you in our definition of current flow. </p><dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle B=LI}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> <mo>=</mo> <mi>L</mi> <mi>I</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B=LI}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86fb8d8147bc0f8fde24982064221073810eb4ea" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.617ex; height:2.176ex;" alt="{\displaystyle B=LI}"></span></dd></dl> <p>Hence, </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I={\frac {B}{L}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>B</mi> <mi>L</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I={\frac {B}{L}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/feb0683972f08f97e541f655920f29d2ad2aa4f4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:6.87ex; height:5.176ex;" alt="{\displaystyle I={\frac {B}{L}}}"></span> . <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \phi =-{\frac {B}{L}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03D5;<!-- ϕ --></mi> <mo>=</mo> <mo>&#x2212;<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>B</mi> <mi>L</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi =-{\frac {B}{L}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9c15ce6f45ee1858a179364fcecc86c9886d204d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:8.892ex; height:5.176ex;" alt="{\displaystyle \phi =-{\frac {B}{L}}}"></span></dd></dl> <p><br /> <br /> NOTE: One coulomb equals the charge on -6.2415 × 10^18 electrons (note that electrons are negatively charged). </p> <div style="clear:both;"></div> <div class="mw-heading mw-heading2"><h2 id="Electron_flow_excitement">Electron flow excitement</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=3" title="Edit section: Electron flow excitement" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Electron flow excitement"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>So, when electrons flow through a material, they cause anything from an insignificant quantity to a catastrophic amount of vibrational energy or heat to be created. </p> <div class="mw-heading mw-heading3"><h3 id="Current_carriers">Current carriers</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=4" title="Edit section: Current carriers" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Current carriers"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <pre>Insulators do not normally allow electron flow. </pre> <p>To overcome that effect, voltage would have to be raised tremendously high. For a spark to cross the insulating gap of air between his finger and the office door, the cube farmer would have to build up thousands of volts of static potential. However, there is only the air there to be heated and so it simply has too few bits of matter to support heating. Vacuum, as you already surmised, has only the electrons themselves and only during the course of their passage. </p> <pre>Semiconductors will begin conducting after only a little voltage 'encourages' the flow. </pre> <p>Before, it acts like an insulator. After, it acts like a conductor. Resistors are designed to resist the flow of electrons. They may be of many materials and, in fact, even conductors display the same characteristics, but to a far smaller extent. Resistors are manufactured as identified components in circuitry. Not surprisingly, the filaments in electric lights, electric stove coils, blow dryer elements and space heater coils are also resistors. </p> <pre>Conductors allow electrons to flow quite freely. </pre> <p>They do, however, present some resistance to current flow. Thus, you can cause them to heat up by 1) passing more than the designed current or 2) insulating them so that the tiny heat that is normally generated has nowhere to go and builds up to a potentially disastrous temperature. </p> <pre>Superconductors are conductors with the characteristic of passing electrons with negligible heating and resistance. </pre> <p>The current state of technology insists that they be cooled to a very low temperature. Should room temperature superconductors ever be created, there would be no power wasted over the (currently resistive) power lines between our power plants, and our cities and towns. That would cut carbon emissions, well, a whole lot. </p> <div class="mw-heading mw-heading2"><h2 id="Hot_and_hotter">Hot and hotter</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=5" title="Edit section: Hot and hotter" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Hot and hotter"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In a lightbulb, that heat becomes so great that the tungsten filament glows white hot. Stove and blow dryer elements can glow red-hot. A space heater may not glow but it can still burn the dickens out of you if you are not careful. Light generated is directly related to temperature. If two objects give off the same color of light, they share identical temperatures. </p><p>The amount of heat energy disspated into the surrounding is considered heat energy loss can be calculated as </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P_{R}=I^{2}R(T)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>R</mi> </mrow> </msub> <mo>=</mo> <msup> <mi>I</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mi>R</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P_{R}=I^{2}R(T)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/baabca2373f47d55db535bc0d68bf1e186c5e229" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.551ex; height:3.176ex;" alt="{\displaystyle P_{R}=I^{2}R(T)}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R(T)=R_{o}+nT}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <mo>+</mo> <mi>n</mi> <mi>T</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R(T)=R_{o}+nT}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c0958dc04813760e2ea0f51d657f6569c71ba6b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.973ex; height:2.843ex;" alt="{\displaystyle R(T)=R_{o}+nT}"></span> For Conductor</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R(T)=R_{o}e^{nT}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>o</mi> </mrow> </msub> <msup> <mi>e</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mi>T</mi> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R(T)=R_{o}e^{nT}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/beda6741b5eaf39dc4d50da2fd3f2990934f137f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.561ex; height:3.176ex;" alt="{\displaystyle R(T)=R_{o}e^{nT}}"></span> For Semi conductor</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Experimentation_in_current_carriers">Experimentation in current carriers</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=6" title="Edit section: Experimentation in current carriers" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=6" title="Edit section&#039;s source code: Experimentation in current carriers"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Experimentation is used to determine a substance's resistance characteristics with regard to current flow. Experimental results show that increasing the conductor size decreases its resistance proportionately. So, double the cross-section of a wire and you halve its resistance. </p><p>The unit of current is the Ampere or Amp for short. It is defined as a specific number of electrons flowing across a specific point per unit time. </p> <div class="mw-heading mw-heading2"><h2 id="Current,_Power_and_mathematic_equations"><span id="Current.2C_Power_and_mathematic_equations"></span>Current, Power and mathematic equations</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=7" title="Edit section: Current, Power and mathematic equations" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=7" title="Edit section&#039;s source code: Current, Power and mathematic equations"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>We have spent a great deal of time talking about current and its thermal effects. Let's consider what we know. When voltage goes up in a circuit, current goes up. If I double the voltage and the resistance remains constant, I double the current. I also double the vibrations I'm causing so I double the amount of heat I am adding. </p><p>In other words, doubling voltage doubles the power generated in the form of heat. This leads us to an equation. Power equals Current times Voltage. The symbol for Power is P, the symbol for Current is I, and the symbol for voltage is E. We have </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle P_{V}={\frac {W}{Q}}{\frac {Q}{t}}=IV}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>V</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>W</mi> <mi>Q</mi> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>Q</mi> <mi>t</mi> </mfrac> </mrow> <mo>=</mo> <mi>I</mi> <mi>V</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P_{V}={\frac {W}{Q}}{\frac {Q}{t}}=IV}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/85509e5fcbaea52a650b7ef711545b3d562f25e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:18.09ex; height:5.843ex;" alt="{\displaystyle P_{V}={\frac {W}{Q}}{\frac {Q}{t}}=IV}"></span></dd></dl> <p>As I double the resistance, I halve the current when constant voltage is applied. Resistance and current are inversely related. As I double the voltage, the current doubles as well. In point of fact, Voltage equals Current times Resistance or E = I * R. </p><p>Look up the definition of an Amp. Calculate the value of 50 amps in the terms you found. Provide at least three correct answers. For extra credit, write a paper on Tesla (the inventor, not the band). If you plagiarize Wiki, you will be found out. </p> <div class="mw-heading mw-heading2"><h2 id="Reference">Reference</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Electrical_current&amp;veaction=edit&amp;section=8" title="Edit section: Reference" class="mw-editsection-visualeditor"><span>edit</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Electrical_current&amp;action=edit&amp;section=8" title="Edit section&#039;s source code: Reference"><span>edit source</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="https://en.wikipedia.org/wiki/Electric_current" class="extiw" title="wikipedia:Electric current">Electric current</a></li></ul> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐65bb7474cd‐g8klx Cached time: 20241127142136 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.064 seconds Real time usage: 0.170 seconds Preprocessor visited node count: 546/1000000 Post‐expand include size: 6574/2097152 bytes Template argument size: 903/2097152 bytes Highest expansion depth: 10/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2721/5000000 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 60.909 1 -total 47.27% 28.794 1 Template:Science 42.12% 25.654 1 Template:Subject_box 41.06% 25.012 4 Template:Projectbox 16.88% 10.284 1 Template:Secondary 12.43% 7.569 1 Template:75%done 11.44% 6.969 1 Template:Lesson 7.98% 4.863 1 Template:LeftTOC 7.86% 4.787 1 Template:Edlevelbox 6.74% 4.103 1 Template:Type_box --> <!-- Saved in parser cache with key enwikiversity:pcache:34328:|#|:idhash:canonical and timestamp 20241127142136 and revision id 2394891. 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