Determine Vab in the given circuit.

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This question was previously asked in
MPPGCL JE Electrical 19 March 2019 Shift 2 Official Paper
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  1. Vab = 1.5 V
  2. Vab = 16.5 V
  3. Vab = 9V
  4. Vab = 7.5 V

Answer (Detailed Solution Below)

Option 1 : Vab = 1.5 V
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Concept

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Applying KVL in Loop 1:

\(-12+I_1(5+3)=0\)

\(I_1=1.5\space A\)

Applying KVL in Loop 2:

\(-12+I_3(6+2)=0\)

\(I_3=1.5\space A\)

Applying KVL across Loop ab:

\(6I_3-V_{ab}-5I_1=0\)

\(V_{ab}=6\times1.5-5\times1.5\)

\(V_{ab}=1.5\space V\)

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