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In a region at a distance r from z-axis,...

In a region at a distance r from z-axis, magnetic field `vec(B) = B_(0)rt hat(k)` is present where `B_(0)` is constant and t is time. Then the magnetic of induced electric field at a distance r from z-axis is given by

A

`r/2 B_(0)`

B

`(r^(2))/2 B_(0)`

C

`(r^(2))/3 B_(0)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
`oint vec(E)*dvec(l)=-(d phi)/(dt)` where `phi = int B2 pi rdr=(2pi)/(3)B_(0)tr^(3)`
`E2 pi r = -(2 pi B_(0)r^(3))/(3) implies E+(B_(0)r^(2))/(3)`.
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