MHB L2:?Kirchhoff's Rules: Solve for R4 & V1,V2

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The discussion focuses on applying Kirchhoff's loop and junction rules to solve for R4, V1, and V2 in a given circuit diagram. The first response provides equations derived from the loops: V1 is calculated using the top loop equation, while V2 is determined from both the bottom right and left loop equations. Specifically, V1 is expressed as V1 = I1R1 + I3R3 + I2R2, and V2 is given by two equations: V2 = -I3R3 + I5R5 and V2 = I2R2 - I4R4. These equations allow for the determination of the unknowns in the circuit. The discussion effectively illustrates the application of Kirchhoff's rules in circuit analysis.
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Dear Everybody,

I have difficulties how to use the loop rule and junction rule for the diagram below. I need to find R4 and V1 and V2 in this question. Work:

J1: $I_1=I_2+I_3$
J2:?
J3:?
J4:?

Thanks,
Cbarker1

L1:?
 
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Hi Cbarker1,

The top loop gives you the equation:
$$V_1 = I_1R_1 + I_3R_3 + I_2 R_2$$
This will give you $V_1$.The bottom right loop gives:
$$V_2 = -I_3R_3 + I_5R_5$$
This will give you $V_2$. The bottom left loop gives:
$$V_2 = I_2R_2 - I_4R_4$$
and this will give you $R_4$.
 
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