In a circuit consisting of a capacitance and a generator with alternating emf $E_{g}=E_{g0} \sin \omega t$,$V_{C}$ and $I_{C}$ are the voltage and current. The correct phasor diagram for such a circuit is:

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

If we decrease the frequency of the applied $A.C.$ with a purely capacitive load,do $(1)$ the amplitude of $V_c$ and $(2)$ amplitude of $I_c$ increase,decrease,or remain the same?

$A$ small signal voltage $V(t) = V_0 \sin(\omega t)$ is applied across an ideal capacitor $C$. Which of the following statements is correct?

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 $....... \text{ A}$.

The value of the current through an inductance of $1 \, H$ and of negligible resistance,when connected to an $ac$ source of $200 \, V$ and $50 \, Hz$ is: (in $, A$)