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In this presentation a two-loop circuit is analyzed:

In this presentation a two-loop circuit is analyzed: animation is used to demonstrate choosing current direction and generating resistor polarities Creating a junction point equation

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In this presentation a two-loop circuit is analyzed:

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  1. In this presentation a two-loop circuit is analyzed: • animation is used to demonstrate choosing current direction and generating resistor polarities • Creating a junction point equation • the idea of generating loop equations by “walking the loop” is demonstrated via an animated “robot cockroach voltmeter.” • Simply click through the slides and provide your own narration

  2. Kirchhoff Junction Points and Loop Walks By Leo Takahashi, The Pennsylvania State University, Beaver Campus

  3. A circuit is constructed with known battery emfs (દ1 and દ2) and known resistances (R1, R2, and R3); we wish to know the values of the currents.

  4. We will use Kirchhoff’s Rules as follows:At a JUNCTION POINT the currents in must equal the currents out.Around any CLOSED LOOP the sum of the potential differences (voltages) must equal zero.

  5. - I1R1 a - I2R2 - દ2 + - I3 R1 + + + I2 દ1 Loop 2 R2 દ2 Loop 1 - - - +દ1 I1 + I2R2 R3 + - b - I3R3 V V V = 0 At a: I1 =I2 + I3 = 0

  6. These three equations I1 = I2 + I3 દ1 – I1R1 – I2R2 = 0 I2R2 – દ2 – I3R3 = 0 can be solved for the three unknown currents.

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