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Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectromagnetic Induction

A square-shaped copper coil with edges of length 50 cm contains 50 turns. It is placed perpendicular to a 1.0 T magnetic field. The coil is removed from the magnetic field in 0.25 s and restored to its original place in the subsequent 0.25 s . The resistance of the coil is 25 . Assuming the coil moves with uniform velocity during its removal and restoration, determine the thermal energy developed in the coil during i

Options

  1. A12.5 J
  2. B100 J
  3. C25 J
  4. D50 J

Correct answer

C. 25 J

Step-by-step solution

Area of the coil, A = (0.5)^2 = 0.25 m ^2 Total change in magnetic flux during restoration, = NBA = 50 1.0 0.25 = 12.5 Wb Since the coil moves with uniform velocity, the induced emf is constant: = t = 12.5 0.25 = 50 V Thermal energy developed during restoration is given by: H = ^2 R t = (50)^2 25 0.25 = 100 0.25 = 25 J

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