The equation for an AC voltage is given as V= 0.04sin (2000t+600) volts. Determine the frequency angular frequency and instantaneous voltage when t=160μs.

1.C]The equation for an AC voltage is given as V= 0.04sin (2000t+600) volts. Determine the frequency angular frequency and instantaneous voltage when t=160μs.

Solution:

Given:

v =0.04 sin(2000t +60⁰) ——- Vmsin(ωt+φ)
Angular frequency ω =2000 r/s
Vm= 0.04 v
φ = 60 degree = 60 x π/180 = 1.047 radians

f= ω/2π = 2000/2*3.142= 318.47
f = 319Hz

Instantaneous value,v=? At t=160 x10-6
v =0.04 sin(2000t +1.047)
v =0.04 sin(2000x 160 x10^-6+1.047 )
v _{at t-160x 10^-6} = 0.000954 V