$A$ capacitor of capacitance $10 \mu F$ is connected to an $AC$ source and an $AC$ Ammeter. If the source voltage varies as $V = 50 \sqrt{2} \sin 100 t$, the reading of the ammeter is (in $\text{ mA}$)

$A$ coil has an inductance of $2 \ H$. The ratio of its reactance,when it is connected first to an $AC$ source and then to a $DC$ source,is

$A$ 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 $50 \; Hz$.

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:

The reactance of a $25\,\mu F$ capacitor at the ac frequency of $4000\, Hz$ is

When an inductor is connected to an $AC$ source of frequency $\omega$,what is the frequency of the instantaneous power?