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 $I$)

Explain $AC$ voltage applied to a resistor and explain it with a necessary graph.

$A$ resistor of resistance $100 \Omega$ is connected to an $AC$ source $\varepsilon = 10 \sin (250 \pi t)$. The energy dissipated as heat during $t = 0$ to $t = 1 \text{ ms}$ is approximately.

Keeping the source frequency equal to the resonating frequency of the series $LCR$ circuit,if the three elements,$L, C$ and $R$ are arranged in parallel,show that the total current in the parallel $LCR$ circuit is minimum at this frequency. Obtain the $rms$ current value in each branch of the circuit given below.
Figure shows a series $LCR$ circuit connected to a variable frequency $230\; V$ source. $L=5.0\; H, C=80\; \mu F, R=40\; \Omega$.

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

An $A.C.$ voltage is applied to a pure inductor. The current in the inductor