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

The reactance of a coil when used in the domestic $ac$ power supply $(220\, V, 50\, Hz)$ is $100\, \Omega$. The self-inductance of the coil is nearly........$H$.

$A$ 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.

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 ..... $\mu F$.

An alternating voltage $v(t) = 220 \sin(100 \pi t) \text{ V}$ is applied to a purely resistive load of $50 \, \Omega$. The time taken for the current to rise from zero to half of its peak value is ..... $ms$.

Assertion : No power loss is associated with a pure capacitor in an $AC$ circuit.
Reason : No current is flowing in this circuit.