A series LCR circuit is tuned to resonance. The impedance of the circuit now is

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${[R^{2} + {(ω L - \frac{1}{ω C})}^{2}]}^{1 / 2}$

${[R^{2} + {(ω L + \frac{1}{ω C})}^{2}]}^{1 / 2}$

${[R^{2} + {(\frac{1}{ω C} - ω L)}^{2}]}^{1 / 2}$

answer is D.

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Detailed Solution

Impedance of the LCR circuit is give n b $Z = \sqrt{R^{2} + {(ω L - \frac{1}{ω c})}^{2}} A t r e s o n a n a n c e i m p e d a n c e o f t h e c i r c u i t i s m i n i m u m a n d i t i s e q u a l t o r e s i s \tan c e R .$

$∴ Z = R$

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