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

In the two-loop circuit shown, V1=12 V, V2=18 V, R1=2, , R2=15, , and R3=10, . (The battery V2 has its positive terminal at the bottom.) Use nodal analysis to find the voltage at node a (the top of R2) with respect to the bottom wire.

  1. 6.3 V
  2. -3 V
  3. 10.59 V
  4. 12 V

Answer

A. 6.3 V

Solution

Node a: Va-V1/R1+Va/R2+ Va-(-18 V)R3=0. Solving gives Va=6.3 V.

More Branch, Loop and Node Analyses questions

  1. 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…
  2. 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 bottom.)…
  3. In the two-loop circuit shown, V1=18 V, V2=20 V, R1=4, , R2=12, , and R3=2, . (The battery V2 has its positive terminal at the top.) Using…
  4. In the two-loop circuit shown, V1=24 V, V2=6 V, R1=6, , R2=15, , and R3=10, . (The battery V2 has its positive terminal at the top.) Using…
  5. In the two-loop circuit shown, V1=30 V, V2=6 V, R1=10, , R2=5, , and R3=2, . (The battery V2 has its positive terminal at the top.) Using…
  6. In the two-loop circuit shown, V1=30 V, V2=24 V, R1=15, , R2=2, , and R3=10, . (The battery V2 has its positive terminal at the top.)…
  7. In the two-loop circuit shown, V1=24 V, V2=15 V, R1=6, , R2=8, , and R3=3, . (The battery V2 has its positive terminal at the top.) Using…
  8. How many independent mesh (loop) equations are needed to solve a planar circuit that has three meshes?
  9. A single loop contains a 12 V source and three resistors. Two of the resistors drop 3 V and 5 V. What is the voltage drop across the third?
  10. At a node, currents of 3 A and 5 A flow in, and 2 A flows out through one branch. What current flows out through the remaining branch?

All Branch, Loop and Node Analyses questions