Calculating power in a circuit with loops

AI Thread Summary
The discussion focuses on calculating power in a circuit with loops using Kirchhoff's rules. The user is struggling with three variables derived from the equations, which complicates finding the current for each loop. Key equations provided include V = IR and the sum of currents at junctions equaling zero. A suggested solution is to express one current in terms of the others, specifically using I(2) = I(1) + I(3) to simplify the equations. This approach aims to help in solving the circuit analysis problem effectively.
lagwagon555
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Homework Statement


http://img33.imageshack.us/img33/1147/question1x.jpg

Homework Equations



V = IR, Sum of currents at junction = 0.

The Attempt at a Solution



Just doing some exam revision, and found this one in my notes. I'm not really sure how to go about it. Using Kirchhoffs rules, you obviously end up with three variables, and can't solve the equations:

10 - 10I(1) - 20I(2) = 0
15 - 20I(2) - 10I(3) = 0

So I don't know how to calculate the current for any loop on the circuit, since they all have two components. Anyone got any pointers? Thanks!
 
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Take I(2) = I(1) + I(3) and solve the equations.
 

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