For the circuit shown below, the voltage across the 11 Ω resistor is given by:

F1 Vinanti Engineering 31.12.22 D4

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SSC JE Electrical 16 Nov 2022 Shift 3 Official Paper
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  1. 1 V
  2. O V
  3. \(\frac{22}{3}\) V
  4. \(\frac{2}{3}\) V

Answer (Detailed Solution Below)

Option 3 : \(\frac{22}{3}\) V
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Detailed Solution

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The correct answer is option3): \(22 \over 3\)V

Concept:

The Kirchoff current law states the  algebraic sum of the current at a node is zero

Calculation:

Given

F1 Vinanti Engineering 31.12.22 D4

where V is the voltage at node of 1 Ω resistor

By applying KCL 

\((12 -V) \over 11\) -V +4 = 0

12 -V -11V = -44

-12V = -56

V = \(56 \over 12\)

\(14\over 3\)

The Voltage across the 11 Ω resistor is

V = (12 - \(14 \over 3\) ) 

\(22 \over 3\) V

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