Q.

In a region at a distance r from z-axis, magnetic field B⇀=B0rtk∧ is present where .B0 is constant and t is time. Then the magnitude of induced electric field at a distance r from z-axis is given by

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a

r2B0

b

r22B0

c

r23B0

d

None

answer is C.

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Detailed Solution

∮E⇀.dl⇀=-dϕdt where ϕ=∫B2πrdr=2π3B0tr3E2πr=-2πB0r33⇒E=-B0r23
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In a region at a distance r from z-axis, magnetic field B⇀=B0rtk∧ is present where .B0 is constant and t is time. Then the magnitude of induced electric field at a distance r from z-axis is given by