electric field due to changing magnetic field questions with solutions

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• MCQmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A coil placed in a time-varying magnetic field dissipates power P. Its number of turns, area enclosed by each turn and wire radius are N, A and r, respectively. A second geometrically similar coil has 2N turns, turn area 2A and wire radius 3r, and is placed in the same time-varying magnetic field. If the power dissipated in the second coil is α√2 P, find α.

  Options

  • Option A

    36

  • Option B

    128√2

  • Option C

    16

  • Option D

    64

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• NumericmediumElectromagnetic Inductionelectric field due to changing magnetic field

  A rectangular loop of sides 12 cm and 5 cm, with its sides parallel to the x-axis and y-axis respectively, moves with velocity 5 cm s⁻¹ in the positive x-direction in a space containing a variable magnetic field in the positive z-direction. The field has a gradient of 10⁻³ T cm⁻¹ along the negative x-direction and is decreasing with time at 10⁻³ T s⁻¹. If the resistance of the loop is 6 mΩ, the power dissipated by the loop as heat is ______ × 10⁻⁹ W.

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