Circuit with 2 Batteries and 6 Resistors

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The discussion centers on analyzing a circuit with two batteries (18 V and 12 V) and six resistors with specified values. The primary goal is to determine the voltages and currents (V4, I1, I2, I3) in the circuit using the equation V=IR. Several equations are set up based on Kirchhoff's laws to relate the currents and voltages in the circuit. The user is reminded to post homework questions in the appropriate forum for better assistance. The focus remains on solving for the unknowns in the given circuit configuration.
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Homework Statement


[/B]
A circuit is constructed with six resistors and two batteries as shown. The battery voltages are V1 = 18 V and V2 = 12 V. The positive terminals are indicated with a + sign, The values for the resistors are: R1 = R5 = 73 Ω, R2 = R6 = 121 Ω R3 = 62 Ω, and R4 = 92 Ω. The positive directions for the currents I1, I2 and I3 are indicated by the directions of the arrows. What is V4, I1, I2, and I3?

Homework Equations



V=IR

The Attempt at a Solution


-I3R3+I1R1-ΔV1=0
+I6R6-ΔV2+I2R2+I1R1=0
-I1R1-I2R2-I5R5-I4R4-I6R6=0
-ΔV1-I3R3-I2R2+ΔV2-I6R6=0
-ΔV2-I5R5-I4R4=0
-I4R4-I6R6-ΔV1-I3R3-I2R2-I5R5=0

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FYI homework questions should be posted in the appropriate homework forum.
 

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