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MHT CET · Physics · Alternating Current

The instantaneous value of an \(\mathrm{AC}\) is given by \(I=5 \sin (\omega t+\phi)\) amp. The rms value of current is

  1. A \(5 \mathrm{~A}\)
  2. B \(\frac{5}{\sqrt{2}} \mathrm{~A}\)
  3. C \(5 \sqrt{2} \mathrm{~A}\)
  4. D \(2.5 \mathrm{~A}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{5}{\sqrt{2}} \mathrm{~A}\)

Step-by-step Solution

Detailed explanation

We know that, \(I_{\mathrm{rms}}=\frac{I_{0}}{\sqrt{2}}\)
In the given equation, peak value of current \(\left(I_{0}\right)=5\)
\(I_{\mathrm{rms}}=\frac{5}{\sqrt{2}} \mathrm{~A}\)