[Highschool Physics] Kirchoff's Rules

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The discussion centers around applying Kirchhoff's rules to a complex circuit diagram. The user acknowledges the principles that the sum of currents at a junction equals zero and that the sum of potential differences in a closed loop is also zero. They express confusion about the circuit's layout, leading to uncertainty in their calculations. After attempting to solve the equations, they propose that both answers (1) and (5) could be correct but seek confirmation. Clarification on Kirchhoff's rules and circuit analysis is requested to resolve their doubts.
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Homework Statement



http://imgur.com/XXPWbCN

Homework Equations



∑ ΔV (closed circuit) = 0
∑ I (in) = ∑ I (out)

The Attempt at a Solution


So I know that the sum of the currents entering any junction in a circuit must equal the sum of the currents leaving that junction, and that the sum of the potential differences across all elements around any closed circuit loop must be zero. BUT this picture is so weird that I can't wrap my head around it. I think that I1 + I2 + I3 = 0, if one of those was negative which it can be. This means that (2) and (3) cannot be true. Then, solving for the potential difference equations, I got epsilon=-RI1+RI2 = -RI3+RI2, so I1R-I3R=0. So my answer would be both (1) and (5), but I'm not sure if that is correct. Could anyone help?
 
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4Phreal said:
So I know that the sum of the currents entering any junction in a circuit must equal the sum of the currents leaving that junction, and that the sum of the potential differences across all elements around any closed circuit loop must be zero. BUT this picture is so weird that I can't wrap my head around it. I think that I1 + I2 + I3 = 0, if one of those was negative which it can be. This means that (2) and (3) cannot be true. Then, solving for the potential difference equations, I got epsilon=-RI1+RI2 = -RI3+RI2, so I1R-I3R=0. So my answer would be both (1) and (5), but I'm not sure if that is correct. Could anyone help?

Correct .
 
4Phreal said:

Homework Statement



http://imgur.com/XXPWbCN

Homework Equations



∑ ΔV (closed circuit) = 0
∑ I (in) = ∑ I (out)

The Attempt at a Solution


So I know that the sum of the currents entering any junction in a circuit must equal the sum of the currents leaving that junction, and that the sum of the potential differences across all elements around any closed circuit loop must be zero. BUT this picture is so weird that I can't wrap my head around it. I think that I1 + I2 + I3 = 0, if one of those was negative which it can be. This means that (2) and (3) cannot be true. Then, solving for the potential difference equations, I got epsilon=-RI1+RI2 = -RI3+RI2, so I1R-I3R=0. So my answer would be both (1) and (5), but I'm not sure if that is correct. Could anyone help?
Due to my OCD, I like the images to be visible -- or at least documented.

attachment.php?attachmentid=70601&stc=1&d=1402727871.jpg
 

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