The equation of an alternating current is `I = 20 sin 300 pi t`. Calculate the frequency and r.m.s value of current.

Explanation

Here `I = 20 sin 300 pi t`
(i) Compare it with standard equation
`I = I_(0) sin omega t = I_(0) sin 2 pi vt`
we get `I_(0) = 20 A` and `2pi vt = 300 pit` or `v = 150 Hz`
(ii) We know, `I_(rms) = (I_(0))/(sqrt(2))`
`therefore I_(rms) = (20)/(sqrt(2)) = 14.14 A`.