Q96 / 125 · BITSAT 2017 · Physics

A conducting circular loop is placed in a uniform magnetic field, B=0.025 T with its plane perpendicular to the loop. The radius of the loop is made to shrink at a constant rate of 1 mm s-1. The induced emf when the radius is 2 cm, is

  • A
    2π μV
  • Correct answer
    B
    π μV
  • C
    π2μV
  • D
    2 μV

Solution

Here, magnetic field,B=0.025 T

∴ Magnetic flux ϕ=B·A=B·πr2

Induced emf e=dϕdt

=Bπ2r·drdt

=0.025×π×2×2×10-2×1×10-3

=π×10-6  V

=π μV

Hence, the correct answer is option: 'B'.

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