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

In the two-loop circuit shown, V1=12 V, V2=24 V, R1=15, , R2=10, , and R3=2, . (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. 18 V
  2. 4.8 V
  3. 12 V
  4. 19.2 V

Answer

D. 19.2 V

Solution

Node a: Va-V1/R1+Va/R2+ Va-(24 V)R3=0. Solving gives Va=19.2 V.

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