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Find Q of the coil at resonance having frequency 1 MHz—

1. 10³
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2. 10³
3. 10⁴
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4. None of these

Correct Option: A

At resonance X_L = X_C

jωL =	1
	jωC

or

L =	1	=	1
	ω²₀C		(2∏ × 10⁶)² × 50 × 10⁻¹²

=	1
	50 × 4∏²

Q =	ω²₀L	=	10⁶ × 2∏	×	1
	R		10		50 × 4∏²

=	10³
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