Assertion : In the purely resistive element o | vedclass

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(D) In a series $LCR$ circuit,the impedance $Z$ is given by $Z = \sqrt{R^2 + (\omega L - \frac{1}{\omega C})^2}$.The peak current is $I_{\max} = \frac

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If both the Assertion and Reason are incorrect.

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(D) In a series $LCR$ circuit,the impedance $Z$ is given by $Z = \sqrt{R^2 + (\omega L - \frac{1}{\omega C})^2}$.The peak current is $I_{\max} = \frac{\varepsilon_{\max}}{Z}$.As the angular frequency $\omega$ changes,the impedance $Z$ changes. Specifically,at resonance $(\omega = \frac{1}{\sqrt{LC}})$,$Z$ is minimum $(Z = R)$,and the current is maximum.If $\omega$ increases away from the resonance frequency,$Z$ increases,causing the current to decrease.Therefore,the current does not monotonically increase with the increase in angular frequency. The Assertion is incorrect.The Reason provides the correct formula for peak current,but the Assertion itself is false.

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