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Standard XII

Physics

RLC Circuit

Assertion :in...

Question

Assertion :in series LCR resonance circuit, the impedance is equal to the ohmic resistance Reason: At resonance, the inductive reactance exceeds the capacitive reactance.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is C Assertion is correct but Reason is incorrect
Impedance of LCR circuit is given by
$z = \sqrt{R^{2} + (X_{L} - X_{C})^{2}}$
At resonance, $X_{L} = X_{C}$
$\Rightarrow z = R$ ( ohmic resistance)

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Assertion :in series LCR resonance circuit, the impedance is equal to the ohmic resistance Reason: At resonance, the inductive reactance exceeds the capacitive reactance.

The correct option is C Assertion is correct but Reason is incorrectImpedance of LCR circuit is given byz=√R2+(XL−XC)2At resonance, XL=XC⇒z=R ( ohmic resistance)

The correct option is C Assertion is correct but Reason is incorrect
Impedance of LCR circuit is given by
$z = \sqrt{R^{2} + (X_{L} - X_{C})^{2}}$
At resonance, $X_{L} = X_{C}$
$\Rightarrow z = R$ ( ohmic resistance)