Engineering Board Exam Reviewer · Branch, Loop and Node Analyses · medium
In the two-loop circuit shown, V1=30 V, V2=6 V, R1=6, , R2=8, , and R3=3, . (The battery V2 has its positive terminal at the bottom.) Use the mesh equations to find the current through R3 (taken as positive from left to right).
- 3.6 A
- 1.73 A
- 4.2 A
- 0.6 A
Answer
A. 3.6 A
Solution
Mesh 1: (R1+R2)I1-R2I2=V1 14, ,I1-8, ,I2=30 V. Mesh 2: -R2I1+(R2+R3)I2=+V2 -8, ,I1+11, ,I2=6 V. Solving, I2=3.6 A is the current in R3 (left to right).
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