Page 292 - Basic Electrical Engineering

v = V sin ωt = 100 sin 314t
m

V = 100 V
m

For a full sine wave, RMS value

For half-rectified wave

Therefore,

Example 3.2 An alternating sinusoidal voltage of v = 150 sin 100 π t is

applied to a circuit which offers a resistance of 50 Ω to the current in one
direction and prevents the flow of any current in the opposite direction.

Calculate the RMS and average values of the current and the form factor.
What is the frequency of the supply?

Solution:

v = 150 sin 100 ωt

standard form, v = V sin ωt
m
The maximum value of voltage, V = 150
m

= 100 π = 2 πf
frequency, f = 50 Hz

The circuit in the question is a half-wave-rectified one.