For the circuit shown below, find the value of R for which

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For the circuit shown below, find the value of R for which I₁ = 2A—

1. 80Ω
2. 20Ω
3. 40Ω
4. None of these

Correct Option: C

The given circuit

The given circuit can be modified as shown below

The current in 200Ω resistance is 4 – 2 = 2A.
So, the voltage drop across 200Ω resistance
= 2 × 200 = 400V.
Now,
400 = 160 × I₁ + I₁ × R
or
400 = 160 × 2 + 2 × R
or

R =	400 – 320	= 40Ω
	2

Hence alternative (C) is the correct choice.