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GUJCET · Physics · Alternating Current

50 Hz ના ઊલટસૂલટ પ્રવાહનું મૂલ્ય શૂન્યથી rms મૂલ્ય જેટલું થવા માટે લાગતો સમય શોધો.

  1. A 2.5 ms
  2. B 5.0 ms
  3. C 10.0 ms
  4. D 15.0 ms
Verified Solution

Answer & Solution

Correct Answer

(A) 2.5 ms

Step-by-step Solution

Detailed explanation

A.2.5 ms
\(i=i_m \sin \omega t\)
\(\frac{i}{i_m}=\sin \omega t\left(\because \frac{i}{i_m}=\frac{1}{\sqrt{2}}\right)\)
\(\therefore \quad \frac{1}{\sqrt{2}}=\sin \omega t\)
∴ \(\omega t=\frac{\pi}{4}\)
∴ \(2 \pi vt=\frac{\pi}{4}\)
\(\therefore \quad t=\frac{1}{8 v}\)
∴ \(t=\frac{1}{8 \times 50}\)
∴ \(t=\frac{1}{400}\)
∴ \(t=2.5 ms\)
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