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........$H$.

$A$ $15.0 \mu\text{F}$ capacitor is connected to a $220 \text{ V}$, $50 \text{ Hz}$ source. The capacitive reactance of the circuit is . . . . . . $\Omega$.

$A$ coil of inductance $L$ has an inductive reactance of $X_L$ in an $AC$ circuit in which the effective current is $I$. The coil is made from a superconducting material and has no resistance. The rate at which power is dissipated in the coil is

As per the given graph,choose the correct representation for curve $A$ and curve $B$. Where $X_{C} =$ reactance of a pure capacitive circuit connected to an $A.C.$ source,$X_{L} =$ reactance of a pure inductive circuit connected to an $A.C.$ source,$R =$ resistance of a pure resistive circuit connected to an $A.C.$ source,and $Z =$ impedance of the $LCR$ series circuit.

$A$ capacitor of $50 \mu F$ is connected to a power source $V = 220 \sin 50 t$ (where $V$ is in volts and $t$ is in seconds). The value of the rms current (in amperes) is:

Explain why the reactance offered by an inductor increases with increasing frequency of an alternating voltage.