Question

The r.m.s. value of a current given by i = (i₁ cos ωt + i₂ sin ωt) is –

An alternating current I = 14 sin (100 πt) A passes through a series combination of a resistor of 30 Ω and an inductor of (2/5π) H. Taking √2 = 1.4, calculate the (i) rms value of the voltage drops across the resistor and the inductor, and (ii) power factor of the circuit.

The average value of the alternating voltage v = (157 V) sin ωt over its first half-cycle is :

A light bulb is rated at 100W for a 220 V supply. Find (a) the resistance of the bulb; (b) the peak voltage of the source; and (c) the rms current through the bulb.