What is the voltage v in the circuit diagram ?

F6 Madhuri Engineering 27.07.2022 D1

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UPSC IES Electrical 2022 Prelims Official Paper
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  1. 7.5 V
  2. 16.5 V
  3. 12.5 V
  4. 14.4 V

Answer (Detailed Solution Below)

Option 3 : 12.5 V
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Detailed Solution

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Calculation:

F6 Madhuri Engineering 27.07.2022 D1

Combining 2.5 A and 5 A downward current source together

F6 Madhuri Engineering 27.07.2022 D2

Combination of  7.5 A downward and upward current will result into SA downward current

F6 Madhuri Engineering 27.07.2022 D3

Applying current division rule

F6 Madhuri Engineering 27.07.2022 D4

i1 =5 × \(\frac{5}{{10}}\) = 2.5 A

∴ Voltage = 5i1 = 5 × 2.5 = 12.5 V

Note :- It will the opposite to the assumed direction.

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