In an LCR series circuit,if the frequency is | vedclass

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(D) The impedance $Z$ of an $LCR$ series circuit is given by the formula: $Z = \sqrt{R^2 + (X_L - X_C)^2}$,where $X_L = 2\pi fL$ and $X_C = \frac{1}{2

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first decreases,then becomes minimum,and then increases.

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(D) The impedance $Z$ of an $LCR$ series circuit is given by the formula: $Z = \sqrt{R^2 + (X_L - X_C)^2}$,where $X_L = 2\pi fL$ and $X_C = \frac{1}{2\pi fC}$.As the frequency $f$ increases,$X_L$ increases and $X_C$ decreases.At low frequencies,$X_C$ dominates,so $Z$ decreases as $f$ increases.At the resonant frequency $f_0 = \frac{1}{2\pi\sqrt{LC}}$,$X_L = X_C$,and the impedance $Z$ reaches its minimum value,which is equal to the resistance $R$.As the frequency increases further beyond $f_0$,$X_L$ dominates,causing the impedance $Z$ to increase.Therefore,the impedance first decreases,reaches a minimum at resonance,and then increases.

In an $LCR$ series circuit,if the frequency is increased,the impedance of the circuit

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