2. An alternating current is represented by the equation I=20sin 100mt. Compute its frequency and the maximum r.m.s values of current.<

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.<

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

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Physics MichaelMet 1 year 2021-09-03T17:31:28+00:00 2021-09-03T17:31:28+00:00 1 Answers 30 views 0

Answers ( )

thuthao · Answer 1 · 2021-09-03T17:33:20+00:00

Explanation:

The general equation of an AC current is given by :

[tex]I=I_o sin\omega t[/tex]

Where

I₀ is the peak value of current

[tex]\omega[/tex] is angular frequency

[tex]As\ \omega=2\pi f[/tex]

So,

[tex]f=\dfrac{\omega}{2\pi}\\\\f=\dfrac{100\pi}{2\pi}\\\\f=50\ Hz[/tex]

We know that,

[tex]I_{rms}=\dfrac{I_0}{\sqrt{2}}\\\\=\dfrac{20}{\sqrt{2}}\\\\I_{rms}=14.14\ A[/tex]

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