In an $AC$-circuit containing only capacitance,the current

Keeping the source frequency equal to the resonating frequency of the series $LCR$ circuit,if the three elements,$L, C$ and $R$ are arranged in parallel,show that the total current in the parallel $LCR$ circuit is minimum at this frequency. Obtain the $rms$ current value in each branch of the circuit given below.
Figure shows a series $LCR$ circuit connected to a variable frequency $230\; V$ source. $L=5.0\; H, C=80\; \mu F, R=40\; \Omega$.

$A$ series $LCR$ circuit is subjected to an $AC$ signal of $200 \,V, 50 \,Hz$. If the voltage across the inductor $(L=10 \,mH)$ is $31.4 \,V$,then the current in this circuit is $\qquad$

When an $a.c.$ source is connected across a pure capacitor, the correct phase relation between current and $emf$ is:

An $AC$ source is connected to a purely resistive circuit. Which of the following is true?

$A$ pure inductor of $25.0 \; mH$ is connected to a source of $220 \; V$. Find the inductive reactance and rms current in the circuit if the frequency of the source is $50 \; Hz$.