Engineering Board Exam Reviewer · Circuit Theorems and Conversions · hard

Three branches are connected in parallel as shown, with V1=6 V, V2=6 V, V3=30 V, R1=12, , R2=12, , and R3=12, . Use Millman's theorem to find the voltage Vab across the terminals.

  1. 30 V
  2. 28 V
  3. 7 V
  4. 14 V

Answer

D. 14 V

Solution

Millman's theorem: Vab= Vk/Rk/ 1/Rk. The numerator is 3.5 A and the denominator is 1/4 S, so Vab= 3.5 A1/4 S=14 V.

More Circuit Theorems and Conversions questions

  1. The bridge network shown has R1=30, , R2=60, , R3=15, , R4=30, , and R5=90, and is driven by a 36 V source. Use a delta-wye conversion to…
  2. In the circuit shown, V1=12 V, V2=6 V, R1=15, , R2=2, , and R3=10, . Use superposition to find the net current through R2 (magnitude).
  3. For the circuit shown, V=20 V, R1=6, , R2=2, , and R3=12, . Find the Thevenin resistance RTh at terminals a-b.
  4. In the circuit shown, V=48 V, R1=10, , R2=2, , and RL=5, . Use Thevenin's theorem to find the power dissipated by RL.
  5. A circuit has a Thevenin equivalent of 20 V and 8, . What is the maximum power it can deliver to a load?
  6. A circuit has a Thevenin equivalent of VTh=10 V and RTh=5, . What current flows when a 15, load is connected?
  7. When using superposition to find the effect of one source, the other independent voltage sources and current sources are replaced by
  8. Three branches are connected in parallel as shown, with V1=9 V, V2=18 V, V3=12 V, R1=12, , R2=3, , and R3=6, . Use Millman's theorem to…
  9. The Y (wye) network shown has RA=10, , RB=30, , and RC=15, . Find the equivalent delta resistor RAB connected between terminals A and B.
  10. The delta network shown has RAB=30, , RAC=90, , and RBC=60, . Find the equivalent Y resistor RB connected to terminal B.

All Circuit Theorems and Conversions questions