Question

4. An ac current is represented as
42.42 sin6280t. RMS value of current
and frequency are respectively​

Answer 1

Answer:

RMS value 29.9

Explanation:

irms =0.707*42.42

frequency 2πf=6280

f=6280/2π

Answer 2

ANSWER:

The RMS value of current is  30 A and frequency is 6.28 Hz.

EXPLANATION:

   RMS value is the root mean square value used to determine precise value for current and voltage in a AC current as they are sinusoidal in nature. The root mean square value is fixed value for current and voltage present in sinusoidal waveform.

   It is determined by dividing the peak value of current or voltage with square root of two, or by multiplying the peak values with 0.707 which is the equivalent of 1/sqrt(2).

So here,

I=42.42

$I_{r m s}=\frac{1}{\sqrt{2}}=0.707 * I$

$I_{r m s}=0.707 * 42.42=29.99 \cong 30 A$

The frequency of the AC current is found as below

2πf=6280

$f=\frac{6280}{2 \pi}=6.28 \mathrm{Hz}$

Thus the RMS value of current is 30 A and frequency is 6.28 Hz.