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  4. In a series LCR circuit, the impedance of the circuit during resonance is equal to

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Q. In a series $LCR$ circuit, the impedance of the circuit during resonance is equal to

UP CPMTUP CPMT 2015Alternating Current

Solution:

In a series $LCR$ circuit
Impedance, $Z=\sqrt{R^{2}+\left(X_{L}-X_{C}\right)^{2}}$
At resonance, $X_{L}=X_{C}$
$\therefore Z=R$