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sweetdion
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Homework Statement
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)
Homework Equations
V=IR, (V=voltage of source, I=total current, R=total resistance)
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.