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GUJCET · Physics · Electromagnetic Induction

In an AC generator, induced \(\operatorname{emf} \varepsilon=0\) at \(t =0\), then its value ___________ .

  1. A minimum at time \(\frac{2 \pi}{3 \omega}\)
  2. B minimum at time \(\frac{\pi}{2 \omega}\)
  3. C maximum at time \(\frac{2 \pi}{\omega}\)
  4. D maximum at time \(\frac{\pi}{2 \omega}\)
Verified Solution

Answer & Solution

Correct Answer

(D) maximum at time \(\frac{\pi}{2 \omega}\)

Step-by-step Solution

Detailed explanation

Given \(\varepsilon=0\) at \(t=0\), the induced emf is \(\varepsilon = \varepsilon_0 \sin(\omega t)\). Emf is maximum when \(\sin(\omega t) = 1\).