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GATE 2021 BM – Question 13

Electrical Circuits · Network Theorems · 1 mark · Multiple choice

Three resistors are connected to ideal sources as shown: current source 1.2 A, voltage source 24 V, resistors 10 Ω,20 Ω,30 Ω. Find VAB in V.

Diagram for GATE 2021 BM question 13
  1. +10
  2. −10
  3. −6
  4. +6

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Show answer and explanation

Correct answer: (B) −10

Explanation

Choose B as zero. The twenty-four-volt source makes the left lower node −24 V. The twenty- and thirty-ohm resistors form a fifty-ohm branch from A to B. KCL at A gives (VA+24)/10+VA/50=1.2. Multiplying by fifty gives 6VA+120=60, so VA=−10 V. Hence VAB=−10 V, B.

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