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The peak value of an alternating current is 10 A. Its root mean square value will be

(A) 5 A

(B) 7.07 A

(C) 10 A

(D) 14.14 A

2 Answers

+1 vote
by (74.8k points)
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Best answer

Correct option is : (B) 7.07 A

The peak value \((I_0)\) of the alternating current is given as 10 A.

The RMS value \((I_{rms})\) of an alternating current is related to its peak value by the formula:

\(I_{rms} = \frac{I_0}{\sqrt{2}}\)

where \(I_0\) is the peak value.

Now, substitute the given peak value into the formula:

\(I_{rms} = \frac{10\ A}{\sqrt{2}}\)

To calculate \(\frac{10}{\sqrt{2}}\)

\(I_{rms} = \frac{10}{1.414}\approx7.07\ A\)

+1 vote
by (44.6k points)

Correct option is (B) 7.07 A

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