A capacitor of $50 \mathrm{pF}$ is connected to an $\mathrm{AC}$ frequency $1 \mathrm{kHz}$. Calculate its reactance.

A coil has an inductance of $1 \mathrm{H}$. At what frequency will it have a reactance of $3140 \mathrm{\Omega }$? What capacitance will have the same reactance at that frequency?

In an $\mathrm{AC}$ circuit with all components connected in series, the emf and the current are given by

$\mathrm{V}=200 \sin \left(314\mathrm{t}+\frac{\mathrm{\pi }}{6}\right)$ volt and $\mathrm{I}=5 \sin 314 \mathrm{t}$ ampere obtain (i) the peak values of emf and current.

In an $\mathrm{AC}$ circuit with all components connected in series, the emf and the current are given by

$\mathrm{V}=200 \sin \left(314\mathrm{t}+\frac{\mathrm{\pi }}{6}\right)$ volt and $\mathrm{I}=5 \sin 314 \mathrm{t}$ ampere obtain  the frequency of the $\mathrm{AC}$ source .

In an $\mathrm{AC}$ circuit with all components connected in series, the emf and the current are given by

$\mathrm{V}=200 \sin \left(314\mathrm{t}+\frac{\mathrm{\pi }}{6}\right)$ volt and $\mathrm{I}=5 \sin 314 \mathrm{t}$ ampere obtain (iii) the phase difference between $\mathrm{V}$ and $\mathrm{I}$.