In the RLC circuit as shown in the diagram,th | vedclass

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(A) The maximum current in the $RLC$ series circuit is given by $I_0 = \frac{V_0}{Z}$,where $Z$ is the impedance of the circuit.The current in the cir

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$\frac{V_0}{\omega Z}$

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(A) The maximum current in the $RLC$ series circuit is given by $I_0 = \frac{V_0}{Z}$,where $Z$ is the impedance of the circuit.The current in the circuit is $i(t) = I_0 \sin(\omega t + \phi)$.The charge on the capacitor $q(t)$ is related to the current $i(t)$ by $i = \frac{dq}{dt}$.Integrating the current,we get $q(t) = \int i dt = \int I_0 \sin(\omega t + \phi) dt = -\frac{I_0}{\omega} \cos(\omega t + \phi)$.The maximum charge $Q_0$ on the capacitor is the amplitude of this oscillation,which is $Q_0 = \frac{I_0}{\omega}$.Substituting $I_0 = \frac{V_0}{Z}$,we get $Q_0 = \frac{V_0}{\omega Z}$.

In the $RLC$ circuit as shown in the diagram,the maximum value of charge on the capacitor is

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