a circular loop of a wire of 10 cm radius having 20 turns is places in magnetic

Question

a circular loop of a wire of 10 cm radius having 20 turns is places in magnetic field B which makes an angle of 30 degrees with the normal to the wire. The magnetic field is increases from 1.0 T to 5.0 T over 10 seconds. using faraday’s law, find the induced voltage in the coil. a circular loop of a wire of 10 cm radius having 20 turns is places in magnetic field B which makes an angle of 30 degrees with the normal to the wire. The magnetic field is increases from 1.0 T to 5.0 T over 10 seconds. using faraday’s law, find the induced voltage in the coil. a circular loop of a wire of 10 cm radius having 20 turns is places in magnetic field B which makes an angle of 30 degrees with the normal to the wire. The magnetic field is increases from 1.0 T to 5.0 T over 10 seconds. using faraday’s law, find the induced voltage in the coil.

Explanation / Answer

magnetic flux = N*B*A*costheta

induced emf = rate of change in flux

emf = N*A*costheta*(dB/dt)

A = area of cross section = pi*r^2

r = radius of loop = 0. 0.1 m

dB = change in field = B2 - B1 = 5 - 1 = 4

dt = time interval = 10 s

emf = 20*pi*0.1^2*cos30*4/10

induced voltage emf = 0.218 V

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