An alternating voltage source $V = 260 \sin(628t)$ is connected across a pure inductor of $5\,mH$. Inductive reactance in the circuit is $......... \Omega$.

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

An $AC$ supply gives $30 \ V$ $rms$ which passes through a $10 \ \Omega$ resistance. The power dissipated in it is ...... $W$.

$A$ constant voltage at different frequencies is applied across a capacitance $C$ as shown in the figure. Which of the following graphs correctly depicts the variation of current with frequency?

Let $f = 50\, Hz$ and $C = 100\, \mu F$ in an $AC$ circuit containing a capacitor only. If the peak value of the current in the circuit is $1.57\, A$,the expression for the instantaneous voltage across the capacitor will be (assuming current is $I = I_m \sin(\omega t)$):

$A$ coil has inductance $L$. The ratio of its reactance when it is connected first to an $A.C.$ source and then to a $D.C.$ source is