Engineering Board Exam Reviewer · Branch, Loop and Node Analyses · hard
In the two-loop circuit shown, V1=24 V, V2=6 V, R1=12, , R2=4, , and R3=2, . (The battery V2 has its positive terminal at the bottom.) How much power is delivered by the battery V1?
- 57.6 W
- 100.8 W
- 25.2 W
- 50.4 W
Answer
D. 50.4 W
Solution
Mesh 1: (R1+R2)I1-R2I2=V1 16, ,I1-4, ,I2=24 V. Mesh 2: -R2I1+(R2+R3)I2=+V2 -4, ,I1+6, ,I2=6 V. I1=2.1 A is the current through V1, so P=V1I1=(24 V)(2.1 A)=50.4 W.
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