a short circuited coil is placed in a time varying magnetic field. electrical power is dissipated due to the current induced in the coil. If the number of turn were to be quadrupled and the wire radius halved, electric power dissipiated would be

1) halved

2) same

3) doubled

4) quadrupled

Power dissipated, P = e2Rwhere, e = induced e.m.f. = -d ϕdtand ϕ = N B A therofre, e = - N A d Bd tAlso, R α 1a α 1r2Therefore, P = e2R α N2 A2 . r2l α N2 r4lAs r is halved, and N is quadrupled.Therefore, P remains the same.

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