$A$ $40 \, \mu F$ capacitor is connected to a $200 \, V, 50 \, Hz$ $AC$ supply. The rms value of the current in the circuit is nearly $....... A$.

In a pure inductive circuit, the curve between frequency $f$ and the reciprocal of inductive reactance $1/X_L$ is:

$A$ small signal voltage $V(t) = V_0 \sin(\omega t)$ is applied across an ideal capacitor $C$. Which of the following statements is correct?

An $A.C.$ source is connected across a pure inductor. Which one of the following figures shows the correct phase relation between the current and $e.m.f.$?

An inductor is connected to an $AC$ source of frequency $50 \ Hz$. The frequency of the instantaneous power developed in the circuit is (in $Hz$)

$A$ $15.0 \; \mu F$ capacitor is connected to a $220 \; V, 50 \; Hz$ source. Find the capacitive reactance and the current ($rms$ and peak) in the circuit. If the frequency is doubled,what happens to the capacitive reactance and the current?