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C Secure I https://www.webassign.net/web/Student/Assignment-Responses/submit2dep-18460124 01 A 45-turn coil has uniform magnetic field of magnitude 0.45 T so that the face of the coil makes the following angles with the magnetic field, a diameter of 14 cm. Find the magnitude of the emf induced in the coil (in V) if it is placed in a spatially and the magnetic field is reduced to zero uniformly in 0.2 s (a) 30° 003 (b) 600 (c) 90 0034 Additional Materials eBook Submit Answer My Notes Ask Your Teacheir

Explanation / Answer

here,

number of turns , N = 45 turns

diameter , d = 14 cm = 0.14 m

magnetic feild , B = 0.45 T

time taken , t = 0.2 s

a)

theta = 30 degree

the magnitude of emf induced , EMF = N * area * B * cos(theta) /t

EMF = 45 * pi * 0.07^2 * 0.45 * cos(30) /0.2 V

EMF = 1.35 V

b)

theta = 60 degree

the magnitude of emf induced , EMF = N * area * B * cos(theta) /t

EMF = 45 * pi * 0.07^2 * 0.45 * cos(60) /0.2 V

EMF = 0.78 V

c)

theta = 90 degree

the magnitude of emf induced , EMF = N * area * B * cos(theta) /t

EMF = 45 * pi * 0.07^2 * 0.45 * cos(90) /0.2 V

EMF = 0 V

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