With a gradual increase in the frequency of an $A.C.$ supply, the impedance of an $LCR$ series circuit

An $LCR$ series circuit with a resistance of $100 \, \Omega$ is connected to an $ac$ source of $200 \, V \, (r.m.s.)$ and angular frequency $300 \, rad/s$. When only the capacitor is removed, the current lags behind the voltage by $60^o$. When only the inductor is removed, the current leads the voltage by $60^o$. The average power dissipated is.....$W$

The net impedance of the circuit (as shown in the figure) will be $...........\,\Omega$.

The value of alternating e.m.f. $(E)$ in the given circuit is (in $V$)

In the circuit shown in the figure,if both the bulbs $B_1$ and $B_2$ are identical,then:

When the $rms$ voltages $V_L, V_C$ and $V_R$ are measured respectively across the inductor $L$,the capacitor $C$ and the resistor $R$ in a series $LCR$ circuit connected to an $AC$ source,it is found that the ratio $V_L : V_C : V_R = 1 : 2 : 3$. If the $rms$ voltage of the $AC$ source is $100 \, V$,the $V_R$ is close to........$V$