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A square loop of side 0.2 m lies in a field increasing at 0.5 T/s normal to it. The emf induced is

  • A.20 mV
  • B.0.5 V
  • C.100 mV
  • D.2 mV

Answer: A

Correct answer: 20 mV

\[ \mathrm{emf} = A\frac{\mathrm{d}B}{\mathrm{d}t} = (0.2)^{2} \times 0.5 = 0.04 \times 0.5 = 0.02\ \mathrm{V} = 20\ \mathrm{mV}. \] The area is the square of the side, and using the side itself gives 100 mV, which is offered here. The field is normal to the loop, so the whole of it links.

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