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Q.

In the given figure two concentric cylindrical region in which time varying magnetic field is present as shown. From the center to radius R  magnetic field is perpendicularinto the plane varying as dB/dt = 2k0 and in a region from R to 2R magnetic field is perpendicular out of the plane varying as dB/dt = 4k0.Find the induced emf across an arc AB of radius 3R.

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a

6R2kθ

b

5R2kθ

c

7R2kθ

d

none of these

answer is B.

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Detailed Solution

∮  E→⋅dl→=10πR2kE(6πR)=10πR2kE=106Rk=53Rk Induced emf across AB=53Rk(3Rθ)=5R2kθ→
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In the given figure two concentric cylindrical region in which time varying magnetic field is present as shown. From the center to radius R  magnetic field is perpendicularinto the plane varying as dB/dt = 2k0 and in a region from R to 2R magnetic field is perpendicular out of the plane varying as dB/dt = 4k0.Find the induced emf across an arc AB of radius 3R.