Question

The peak value of ac is 20A. what is the r.m.s value?​

Answer 1

Answer:

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Explanation:

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Answer 2

Answer:

The r.m.s value of ac is 14.14A.

Explanation:

Alternating current:

Alternating current(ac) is the current whose magnitude changes with time and periodically reverses its direction.

Mathematically given as $I(t)=I_0sin\omega t$

where $I_0$ is the peak current. t is the time and $\omega$ is the angular frequency.

Peak value of current is the maximum value that can be taken by an alternating signal in one cycle.

The root mean square or r.m.s value is the square root of the mean over one cycle of the square of the instantaneous current.

The r.m.s value equals to $1/\sqrt{2}$ or 0.707 times the peak value, which can be written as

$I_{rms}=\dfrac{I_0}{\sqrt{2} }$

Given the peak value of ac,   $I_0=20A$

Then the respective r.m.s value is

$I_{rms}=\dfrac{20}{\sqrt{2} }=0.707\times 20=14.14A$

Therefore, the r.m.s value is 14.14A.

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