An alternating $emf$ $E = 440 \sin(100 \pi t)$ is applied to a circuit containing an inductance of $\frac{\sqrt{2}}{\pi} \text{ H}$. If an $AC$ ammeter is connected in the circuit,its reading will be $....... \text{ A}$.

$A$ $42 \, mH$ inductor is connected to a $200 \, V, 50 \, Hz$ a.c. supply. The r.m.s. value of current in the circuit will be nearly (Take $\pi = \frac{22}{7}$) (in $ \, A$)

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

An $a.c.$ of frequency $f$ is flowing in a circuit containing only an ideal choke coil of inductance $L$. If $V_0$ and $i_0$ represent peak values of the voltage and the current respectively,the average power given by the source to the choke coil is equal to

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:

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