With an increase in the frequency of an A.C. | vedclass

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(D) The impedance $Z$ of an $L-C-R$ series circuit is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.Here,$X_L = L\omega = 2\pi fL$ and $X_C = \frac{1}{C\o

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decreases at first,becomes minimum,and then increases.

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(D) The impedance $Z$ of an $L-C-R$ series circuit is given by $Z = \sqrt{R^2 + (X_L - X_C)^2}$.Here,$X_L = L\omega = 2\pi fL$ and $X_C = \frac{1}{C\omega} = \frac{1}{2\pi fC}$.As the frequency $f$ increases,the inductive reactance $X_L$ increases linearly,while the capacitive reactance $X_C$ decreases.At low frequencies,$X_C$ dominates,so $Z$ decreases as $f$ increases.At the resonant frequency $f_0 = \frac{1}{2\pi\sqrt{LC}}$,$X_L = X_C$,making the impedance $Z = R$,which is the minimum value.As $f$ increases beyond $f_0$,$X_L$ dominates,causing $Z$ to increase.Therefore,the impedance decreases at first,reaches a minimum value,and then increases.

With an increase in the frequency of an $A.C.$ supply,the impedance of an $L-C-R$ series circuit

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