Calculating power in a circuit with loops

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SUMMARY

The discussion focuses on calculating current in a circuit with loops using Kirchhoff's rules. The user presents two equations derived from the circuit: 10 - 10I(1) - 20I(2) = 0 and 15 - 20I(2) - 10I(3) = 0. The solution involves substituting I(2) with the expression I(1) + I(3) to simplify the equations. This approach allows for the determination of the current values in the circuit.

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  • Understanding of Kirchhoff's Voltage Law (KVL)
  • Familiarity with Ohm's Law (V = IR)
  • Basic knowledge of circuit analysis techniques
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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!
 
Last edited by a moderator:
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Take I(2) = I(1) + I(3) and solve the equations.
 

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