The reactance of a capacitor of capacitance $C \mu F$ for an $ac$ frequency of $\frac{400}{\pi} \ Hz$ is $25 \ \Omega$. The value of $C$ is ..... $\mu F$.

In an $AC$ circuit containing only a capacitor,how does the current relate to the potential difference?

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

The voltage across a pure inductor is represented by the following diagram. Which of the following diagrams will represent the current?

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?

$A$ lamp is connected in series with a capacitor. Predict your observations for $dc$ and $ac$ connections. What happens in each case if the capacitance of the capacitor is reduced?