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MHT CET · Physics · Electromagnetic Induction

Two coils have a mutual inductance of 0.01H. The current in the first coil changes according to equation I=5sin200πt. The maximum value of e.m.f. induced in the second coil is

  1. A 10πvolt
  2. B 0.1πvolt
  3. C πvolt
  4. D 0.01πvolt
Verified Solution

Answer & Solution

Correct Answer

(A) 10πvolt

Step-by-step Solution

Detailed explanation

\(\because \phi=M i \)
\( e m f=\frac{d \phi}{d t}=\frac{M \cdot d i}{d t}=(0.01) \cdot(5) \cdot(200 \pi) \cdot\) \(\cos 200 \pi t \)
\( e m f=10 \pi \cdot \cos (200 \pi t) \)
\((e m f) \max =10 \pi \text { Volts }\)