27. Resistors & DC Circuits

Kirchhoff's Junction Rule

Simplest Explanation of KIRCHHOFF'S LAWS  (kcl kvl)

There is a junction of three wires. <math display=“inline”><mrow><mn>2</mn><mo>.</mo><mn>0</mn><mtext>&#x00A0;</mtext><mtext>A</mtext></mrow></math> flow into the junction along one path, and <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mn>5</mn><mtext>&#x00A0;</mtext><mtext>A</mtext></mrow></math> flow out along another path. How much charge flows in or out along the third path in <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mrow><mn>0</mn><mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">&#x00A0;s</mi></mrow></mrow></math>?

Ammeters and voltmeters should always be connected to a circuit in parallel with the element being measured.

Ammeters and voltmeters should always be connected to a circuit in series with the element being measured.


Ammeters should always be connected in parallel with other elements; voltmeters should be connected in series.



Ammeters and voltmeters can be wired however you like, without substantially changing the circuit.



Ammeters should always be connected in series with other elements; voltmeters should be connected in parallel.



Which of the following statements is correct?


Anderson Video - Complex Circuit Example

Kirchoff's Junction Rule for Electric Circuits


Both must be carrying current out from the point.



Both wires must be carrying current into the point.



One of the wires must be carrying current into the point, and one wire must be carrying current out of the point.


Each wire must be carrying <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mn>25</mn><mtext>&#x00A0;</mtext><mtext>A</mtext></mrow></math> of current.


At least one of the two wires must be carrying current out from the point.


Five wires intersect at a point. Wires A, B, and C carry currents <math display=“inline”><mrow><mn>3</mn><mo>.</mo><mn>0</mn><mtext>&#x00A0;</mtext><mtext>A</mtext></mrow></math> into the point, <math display=“inline”><mrow><mn>1</mn><mo>.</mo><mn>0</mn><mtext>&#x00A0;</mtext><mtext>A</mtext></mrow></math> out of the point, and <math display=“inline”><mrow><mn>4</mn><mo>.</mo><mn>5</mn><mtext>&#x00A0;</mtext><mtext>A</mtext></mrow></math> into the point, respectively. What can you say about the remaining two wires, D and E?

Anderson Video - Kirchoff's Junction Rule

<img src="https://media.pearsoncmg.com/aw/aw_knight_physics_5/msa/content/practice-test/img/CQ27_06_Figure.jpg" alt="A wire splits into two wires that form a box as they reconnect. "> In the figure, <math display='inline'><msub><mi>I</mi><mrow><mo>&#x00AC;</m:mo><mi mathvariant="normal">a</mi></mrow></msub><mo>=</mo><mn>12</mn></math>and <math display=‘inline’><mrow><msub><mi>I</mi><mi mathvariant="normal">b</mi></msub><mo>=</mo><mn>8.0</mn> <mo rspace="thickmathspace">&#x2062;</mo><mi mathvariant="normal" class="MathML-Unit">A</mi></mrow></math>. What are <math display=‘inline’><mrow><msub><mi>I</mi><mi mathvariant="normal">c</mi></msub><mrow></math> and <math display=‘inline’><mrow><msub><mi>I</mi><mi mathvariant="normal">d</mi></msub><mrow></math>?

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