(B) In an $LCR$ series circuit,the phase angle $\phi$ is given by $\tan \phi = \frac{X_L - X_C}{R}$.Case $1$: If ${X_L} > {X_C}$,then $\tan \phi > 0$,

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Current lags voltage when ${X_C} {X_L}$.

(B) In an $LCR$ series circuit,the phase angle $\phi$ is given by $\tan \phi = \frac{X_L - X_C}{R}$.Case $1$: If ${X_L} > {X_C}$,then $\tan \phi > 0$,which means $\phi$ is positive. In this case,the voltage leads the current,or the current lags the voltage.Case $2$: If ${X_C} > {X_L}$,then $\tan \phi Therefore,when ${X_C} {X_L}$,the current leads the voltage.

Class 12 Physics Alternating Current RL, RC and LC AC Circuits

Medium

In an $LCR$ series circuit,if ${X_C} < {X_L}$ and ${X_C} > {X_L}$,determine whether the current in the circuit leads or lags the voltage.

A
Current leads voltage when ${X_C} < {X_L}$,and lags when ${X_C} > {X_L}$.
B
Current lags voltage when ${X_C} < {X_L}$,and leads when ${X_C} > {X_L}$.
C
Current leads voltage in both cases.
D
Current lags voltage in both cases.

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Alternating Current

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RL, RC and LC AC Circuits

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Difficult

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Easy

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If $L$ and $R$ are respectively the inductance and resistance,then the dimensions of $\frac{R}{L}$ will be

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In an $LCR$ series circuit,if ${X_C} < {X_L}$ and ${X_C} > {X_L}$,determine whether the current in the circuit leads or lags the voltage.

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For the $AC$ circuit shown in the figure,$R = 100 \ k\Omega$ and $C = 100 \ pF$. The phase difference between $V_{\text{in}}$ and $(V_B - V_A)$ is $90^{\circ}$. The input signal frequency is $10^x \ rad/sec$,where $x$ is . . . . . . .

$A$ charged capacitor discharges through a resistance $R$ with time constant $\tau$. The two are now placed in series across an $AC$ source of angular frequency $\omega = \frac{1}{\tau}$. The impedance of the circuit will be

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