Question

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


please i went to asked ​

Answer 1

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.