A copper disc of radius 10 cm rotates 20 times per second with its plane perpendicular to a uniform magnetic field . If the induced EMF between the center e and edge of the disc is 3.14 mV Calculate the intensity of the field
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Consider a small radial segment of dx at a distance x from the centre of the disc. Velocity of this segment is ωx. Emf induced across this segment
de=vBL=ωxBdx
Total emf induced across radius of disc r
E=
2
1
Bωr
2
As ω=2πn where n is number of revolutions per second
B=0.1T,r=0.1m,ω=10rev/s=20πrad/s
E=
2
1
×0.1×0.01×20π=π×10
−2
V
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