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

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 the voltage at node A.

  1. 160 V
  2. 60 V
  3. 13 V
  4. 55 V

Answer

D. 55 V

Solution

Node A: I1=VA/R1+VA-VB/R2 8 A=VA/20, +VA-VB/8, . Node B: VA-VB/R2=VB/R3+I2 A-VB/8, =VB/4, +2 A. Solving: VA=55 V and VB=13 V.

More Branch, Loop and Node Analyses questions

  1. 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)…
  2. 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.)…
  3. 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…
  4. 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.)…
  5. 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…
  6. 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.)…
  7. 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…
  8. 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.)…
  9. 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…
  10. 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…

All Branch, Loop and Node Analyses questions