In the network shown in the given figure, for the current

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In the network shown in the given figure, for the current to be zero in RL, the value of R should be adjusted to ______ Ω .

1. 2 Ω
2. 5 Ω
3. 12 Ω
4. 21 Ω

Correct Option: A

As, V_A = V_B
∴ 10I₁ + 5I₂ = 0
and 4I₁ + RI₂ = 0
These gives, R = 2 Ω