Engineering Board Exam Reviewer · Branch, Loop and Node Analyses · medium

In the two-loop circuit shown, V1=30 V, V2=20 V, R1=2, , R2=12, , and R3=4, . (The battery V2 has its positive terminal at the top.) Use nodal analysis to find the voltage at node a (the top of R2) with respect to the bottom wire.

  1. 25.71 V
  2. 24 V
  3. 30 V
  4. 48 V

Answer

B. 24 V

Solution

Node a: Va-V1/R1+Va/R2+ Va-(20 V)R3=0. Solving gives Va=24 V.

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