$A$ coil of inductance $L$ has an inductive reactance of $X_L$ in an $AC$ circuit in which the effective current is $I$. The coil is made from a superconducting material and has no resistance. The rate at which power is dissipated in the coil is

$A$ $120 \, V$ $AC$ source is connected across a pure inductor of inductance $0.70 \, H$. If the frequency of the source is $60 \, Hz$,the current passing through the inductor is: (in $, A$)

Explain the representation of $AC$ current and voltage by rotating vectors.

The average power dissipated in a pure inductor of inductance $L$ when an $AC$ current is passing through it,is (Inductance of the coil $L$ and current $I$)

Given below are two statements:
Statement-$I$: In an $AC$ circuit,the current through a capacitor leads the voltage across it.
Statement-$II$: In $AC$ circuits containing pure capacitance only,the phase difference between the current and the voltage is $\pi$.
In the light of the above statements,choose the most appropriate answer from the options given below:

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