Branch, Loop and Node Analyses — Engineering Board Exam Practice Questions

26 free engineering board exam reviewer questions on Branch, Loop and Node Analyses (DC Circuits), each with the correct answer and a worked solution.

  1. In the circuit shown, I1=8 A, I2=4 A, R1=25, , R2=5, , and R3=10, . Use nodal analysis, with the bottom wire as the reference (0 V). How…
  2. In the circuit shown, I1=5 A, I2=1 A, R1=20, , R2=10, , and R3=5, . Use nodal analysis, with the bottom wire as the reference (0 V). Find…
  3. 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…
  4. In the two-loop circuit shown, V1=9 V, V2=18 V, R1=15, , R2=10, , and R3=3, . (The battery V2 has its positive terminal at the top.) Find…
  5. A circuit has 5 nodes and 8 branches. How many independent loop equations does it have?
  6. In the circuit shown, I1=4 A, I2=1 A, R1=25, , R2=40, , and R3=5, . Use nodal analysis, with the bottom wire as the reference (0 V). Find…
  7. In the circuit shown, I1=6 A, I2=4 A, R1=25, , R2=5, , and R3=10, . Use nodal analysis, with the bottom wire as the reference (0 V). Find…
  8. In the circuit shown, I1=10 A, I2=5 A, R1=25, , R2=5, , and R3=10, . Use nodal analysis, with the bottom wire as the reference (0 V). Find…
  9. In the circuit shown, I1=2 A, I2=1 A, R1=8, , R2=5, , and R3=2, . Use nodal analysis, with the bottom wire as the reference (0 V). Find…
  10. In the circuit shown, I1=8 A, I2=2 A, R1=20, , R2=8, , and R3=4, . Use nodal analysis, with the bottom wire as the reference (0 V). Find…
  11. In the circuit shown, I1=10 A, I2=2 A, R1=25, , R2=10, , and R3=40, . Use nodal analysis, with the bottom wire as the reference (0 V)…
  12. In the two-loop circuit shown, V1=24 V, V2=12 V, R1=15, , R2=6, , and R3=10, . (The battery V2 has its positive terminal at the bottom.)…
  13. 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…
  14. In the two-loop circuit shown, V1=15 V, V2=12 V, R1=2, , R2=12, , and R3=4, . (The battery V2 has its positive terminal at the bottom.)…
  15. 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…
  16. 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.)…
  17. 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…
  18. 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.)…
  19. 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…
  20. 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…
  21. 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…
  22. 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.)…
  23. 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…
  24. How many independent mesh (loop) equations are needed to solve a planar circuit that has three meshes?
  25. 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?
  26. 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?