Circuit with Two Batteries and Six Resistors

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Homework Help Overview

The discussion revolves around a circuit problem involving two batteries and six resistors, with specific voltage values and resistance measurements provided. Participants are attempting to analyze the circuit using Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL).

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are discussing the formulation of equations based on KCL and KVL, with attempts to simplify the circuit by combining resistors. Questions arise regarding the correctness of the original equations and the relationships between the currents.

Discussion Status

The discussion includes various attempts to derive equations, with some participants expressing uncertainty about their calculations. There is acknowledgment of a mistake in one of the loops, and one participant indicates they have resolved their confusion.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can share or the methods they can use. There is an ongoing exploration of assumptions related to current directions and resistor combinations.

Gee Wiz
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Homework Statement


A circuit is constructed with six resistors and two batteries as shown. The battery voltages are V1 = 18.0 V and V2 = 12.0 V. The positive terminals are indicated with a + sign, The values for the resistors are: R1 = R5 = 64.0 Ω, R2 = R6 = 157.0 Ω R3 = 53.0 Ω, and R4 = 65.0 Ω. The positive directions for the currents I1, I2 and I3 are indicated by the directions of the arrows.

https://www.smartphysics.com/Content/Media/Images/EM/10/h10_twoloop.png

Homework Equations



KCL and KVL

The Attempt at a Solution



So i tried to make equations, but I'm not getting it to work out.
I1+I3=I2
64I1=53I3+18
 
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It doesn't look like you have tried to simplify the circuit first?

You could replace R2+R6 with an R7.

18+53I3+157I2=12+R6I6

Personally I think it's better to write the equation so the voltages sum to zero. I haven't checked if your equation is correct but I note that I6 = I2
 
I summed them to zero initially, and then i moved them around so there weren't any negative signs. I also saw that I6=I2. I tried playing with that using I1+I3=I2 and I6+Iv(just assigned this to the v2)=I5(which i already solved from an earlier part)
 
nvm, just figured it out
 
thank you!
 
are your original equations correct?
 
nah, i messed up one of the loops.
 

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