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20 June, 15:03

A 250-turn solenoid with an area of 0.100m2 rotates at 40. Orad/s in a 0.0250T uniform magnetic field that is perpendicular to the axis of rotation. Calculate the instantaneous EMF in the solenoid at the moment that the normal to its plane is at a 30.0° angle to the magnetic field. A. zero B. 12.5V C. 21.6V D. 25.0V E. 50.0V

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  1. 20 June, 15:10
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    B. 12.5 Volts

    Explanation:

    N = Number of turns of the solenoid = 250

    B = magnitude of magnetic field = 0.0250 T

    w = angular speed of rotation = 40 rad/s

    A = Area = 0.100 m²

    θ = angle between normal to the plane with magnetic field = 30.0°

    E = Instantaneous EMF in the solenoid

    Instantaneous EMF in the solenoid is given as

    E = N B A w Sinθ

    E = (250) (0.0250) (0.100) (40) Sin30

    E = 12.5 Volts
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