In the circuit shown below, if the current through the resistor

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In the circuit shown below, if the current through the resistor R is zero, what is the value of I?

1. 1 A
2. 2 A
3. 3 A
4. 4A

Correct Option: D

When only voltage source

Using KVL in loop (1)
16 – 2 (i₁ + i₂) – 2i₂ = 0
⇒ i₁ + 2i₂ = 8 ...(i)
Using KVL in loop (2)
16 – 2 (i₁ + i₂) – 4i₁ = 0
3i₁ + i₂ = 8 ...(ii)
Solving equations (i) and (ii)
l₂ = 2l₁
Putting in equation (i)
i₁ + 4i₁ = 8
⇒ i₁ = 1.6 Amp
When only current source

i₁' =	2I	= 0.4I Amp
	2 + 3

Total current through R is zero.
Using superposition theorem
∴ i₁ – i₁' = 0
⇒ 1.6 – 0.4 I = 0
⇒ I = 4 Amp