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Power dissipated in a coil in a changing field when its turns and wire radius are changed

The same question, asked 2 times: 28 Jun 2022*, 2 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    28 Jun 2022

    104
    A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius of wire doubled, the electrical power dissipated due to the current induced in the coil would be: (Assume the coil to be short circuited.)

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  2. Question 2

    2 Apr 2026 S1

    13
    When a coil is placed in a time dependent magnetic field the power dissipated in it is P . The number of turns, area of the coil and radius of the coil wire are N , A and r respectively. For a second coils number of turns, area of the coil and radius of the coil wire are 2 N , 2A and 3 r respectively. When the first coil is replaced with second coil the power dissipated in it is 2αP\sqrt{2}\alpha P. The value of α\alpha is ____\_\_\_\_ .

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