Page 350 - Basic Electrical Engineering

Example 3.16 A sinusoidal voltage of v = 325 sin 314t when applied
across an L–R series circuit causes a current of i = 14.14 sin (314t – 60°)

flowing through the circuit. Calculate the value of L and R of the circuit. Also
calculate power consumed.

Solution:

given v = 325 sin 314 t

comparing v = V sin ωt
m
V = 325 V
m

RMS value,

ω = 314

or, 2πf = 314

given i = 14.14 sin(314t − 60°)

comparing i = I sin (ωt − ϕ)
m
I = 14.14
m

RMS value,

Power factor angle, ϕ = 60°

Power factor, cosϕ = cos 60° = 0.5 lagging