Distinguish between resistance and reactance.

Answer in brief.

Show that in an AC circuit containing a pure inductor, the voltage is ahead of current by $\frac{\pi }{2}$ in phase.

If the effective current in a $50$ cycle AC circuit is $5 \mathrm{A}$, what is the peak value of current’? What is the current $\frac{1}{600} \sec$. after if was zero?

Alternating emf of $E=200\sin 200\pi t$ is applied to a circuit containing an inductance of $\left(\frac{1}{\pi }\right)$ henry. Then find out
Reading of a.c. ammeter connected in the circuit.

A capacitor of $25 \mathrm{\mu F}$, inductor of $0.1 \mathrm{H}$ and resistor of resistance $25 \mathrm{\Omega }$ are connected in series with an A.C. source of e.m.f. $e=310 \sin \left(314t\right)$ volt.

What is the (i) reactance? (ii) impedance and the current of the circuit? (iii) phase angle between current and applied e.m.f.? (iv) expression for instantaneous value of current?