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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

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a
r2B0
b
r22B0
c
r23B0
d
None

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detailed solution

Correct option is C

∮E⇀.dl⇀=-dϕdt where ϕ=∫B2πrdr=2π3B0tr3E2πr=-2πB0r33⇒E=-B0r23

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