Calculate the current through each ideal battery

[perfect_piccolo]

1. (a) Calculate the current through each ideal battery in the figure. Assume that R1 = 1.0 Ω, R2 = 2.0 Ω, ε1 = 4.0 V, and ε2 = ε3 = 8.0 V. Take positive current as that flowing through the battery from - to +. (See diagram)




I just need some guidance about how to set this problem up.

I've tried applying the Junction rule, to give me I1 + I3 = I2

And then the Loop rule to give:

4.0 V - 1(I1) - 2(I2) - 8V - 1(I1) = 0

8V - 1(I3) - 2(I2) - 8V - 1(I3) = 0



Am I setting this problem up correctly and using the right equations?

Thanks

 

[kamerling]

According to the problem, you should have taken I2 in the other direction. Either replace I2 by -I2 in all equations, or replace I2 by -I2 after you're done. Apart from that it's ok.