In the circuit of the given figure, the magnitudes of VL

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In the circuit of the given figure, the magnitudes of V_L and V_C are twice that of V_R. The inductance of the coil is ________ mH.

1. 31.8 mH
2. 11.3 mH
3. 61.1 mH
4. 21.8 mH

Correct Option: A

Since V_L = V_C , then circuit is in resonance and current,

L =	5	=	5	= 1 A
	R		5

Voltage, V_L = 2V_R = 10
∴ ω L = 10

⇒ L =	10	=	10	=	10	= 31.8 mH
	ω		2πf R		2π × 50