A series R-L-C circuit has R = 50 Ω , L = 100 F and

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A series R-L-C circuit has R = 50 Ω , L = 100 F and C = 1 µF. The lower half power frequency of the circuit is _________ kHz

1. 3.055 k Hz.
2. 1.01 k Hz.
3. 14.054 k Hz.
4. None of the above

Correct Option: A

For series RLC circuit, at lower half power frequency

ω₁L -	1	= - R
	ω₁C

⇒ 2πf₁ × 100 × 10^-6 -	1	= - 50
	2πf₁ × 1 × 10^-6

⇒ f₁ = 3.055 k H z.