Engineering Board Exam Reviewer · Circuit Theorems and Conversions · medium

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 find the voltage Vab across the terminals.

  1. 13 V
  2. 18 V
  3. 15 V
  4. 11.14 V

Answer

C. 15 V

Solution

Millman's theorem: Vab= Vk/Rk/ 1/Rk. The numerator is 8.75 A and the denominator is 7/12 S, so Vab= 8.75 A7/12 S=15 V.

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