Find the current through the 1 Ω resistor:

F2 Vinanti Engineering 09.01.23 D1

This question was previously asked in
SSC JE Electrical 15 Nov 2022 Shift 2 Official Paper
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  1. 2A
  2. 4A
  3. 12A
  4. 10A

Answer (Detailed Solution Below)

Option 2 : 4A
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Detailed Solution

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The  correct answer is 4A
Concept

According to KCL, the algebraic sum of incoming and outgoing currents at a node are equal.

F2 Vinanti Engineering 09.01.23 D2

At node O:

\(I_1+I_2=I_3+I_4+I_5\)

Calculation

F2 Vinanti Engineering 09.01.23 D1

Assuming the voltage (V) at node A:

\({V-12\over 4}+{V\over 1}-2=0\)

\({V-12+4V-8\over 4}=0\)

V = 4 volts

The current across the 1Ω resistor is:

\(I_1={4\over 1}\)

I1 = 4 A

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