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JEE Mains · Physics · STD 12 -7. Alternating current

કોઈક ક્ષણે એક ઉલટસૂલટ (\(ac\)) પ્રવાહ નીચે મુજબ આપી શકાય \(i=[6+\sqrt{56} \sin (100 \pi \mathrm{t}+\pi / 3)] \mathrm{A}\). પ્રવાહનું \(rms\) મૂલ્ય _______ \(A\) હશે.

  1. A \(5\)
  2. B \(6\)
  3. C \(7\)
  4. D \(8\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(8\)

Step-by-step Solution

Detailed explanation

\(I_{\text {rms }}=\sqrt{\frac{\int i^2 d t}{\int d t}}\) \(I_{\text {rms }}=\sqrt{(6)^2+\frac{(\sqrt{56})^2}{2}}\) \(=\sqrt{36+28}\) \(=\sqrt{64}\) \(=8 \mathrm{~A}\)
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