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MHT CET · Physics · Electromagnetic Induction

A coil of effective area \(3 \mathrm{~m}^2\) is placed at right angles to a magnetic field of induction \(0.05 \mathrm{~Wb} / \mathrm{m}^2\). If the field is decreased to \(20 \%\) of its original value in 10 second, the e.m.f. induced in the coil will be

  1. A 10 mV
  2. B 12 mV
  3. C 15 mV
  4. D 20 mV
Verified Solution

Answer & Solution

Correct Answer

(B) 12 mV

Step-by-step Solution

Detailed explanation

\( \varepsilon = -\frac{(B_{\text{final}} - B_{\text{initial}})A}{\Delta t} \) \( \varepsilon = -\frac{((0.20 \times 0.05 \mathrm{~Wb} / \mathrm{m}^2) - 0.05 \mathrm{~Wb} / \mathrm{m}^2) \times 3 \mathrm{~m}^2}{10 \mathrm{~s}} \)