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2. An alternating current is represented by the equation I=20sin 100mt.

Compute its frequency and the maximum r.m.s values of current.
Ans: 50Hz,20A,14.14A


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1 Answer

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Step-by-step explanation:

The general equation of an AC current is given by :


I=I_o sin\omega t

Where

I₀ is the peak value of current


\omega is angular frequency


As\ \omega=2\pi f

So,


f=(\omega)/(2\pi)\\\\f=(100\pi)/(2\pi)\\\\f=50\ Hz

We know that,


I_(rms)=(I_0)/(√(2))\\\\=(20)/(√(2))\\\\I_(rms)=14.14\ A

So, the frequency is 50 Hz and the maximum rms value of current is 14.14 A.

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