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A square coil of side 25 cm having 1000 turns is rotated with a uniform speed in a magnetic field about an axis perpendicular to the direction of the field. At an instant t , the EMF induced in the coil is E = 200 sin 100 πt . The magnetic induction is

Options

  1. A0 . 02 T
  2. B10 - 3 T
  3. C0 . 1 T
  4. D0 . 01 T

Correct answer

D. 0 . 01 T

Step-by-step solution

e = 200 sin ⁡ 100   πt We have, e 0 = 200 ω = 100   π ∴ BANω = e 0 ∴ B = e 0 ANω B = 200 ( 0 .25 × 0 .25 ) × 1000 × 100 π Or B = 0 .01   T

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