(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

For the circuit shown below, assume that the batteries are ideal and determine the following:

a) The current through each resistor, including direction.

b) The potential difference across the center branch of the circuit (the one including the 8 ohm resister and 20 V battery)

2. Relevant equations

V=IR, (V=voltage of source, I=total current, R=total resistance)

3. The attempt at a solution

Current through far left 2 ohm top resistor: I1

Current through far right 2 ohm top resistor: I2

Current through middle 8 ohm resistor: I3

Current through bottom right 2 ohm resistor: I4

Current through bottom left 2 ohm resistor: I5

I represent the resisters as R and the amount of ohms. So a two ohm resistor I say R2.

Using Kirchoff's Laws

These are the equations I have for the circuit.

left loop: -10V-I1R2-I3R8-20V-I3R2=0

right loop: -20V+I3R8-I2R2-10V-I4R2=0

outer loop: -10V-I1R2-I2R2-10V-I4R2-I5R2=0

I'm not sure if these are right. I'm hoping I got Kirchhoff's Laws correctly.

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# Homework Help: Simple DC Circuit (That I Can't Solve!)

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