a conducting ring of radius r is rolling without slipping with a constant angular velocity
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ϕ=πR2B
e=πR2dBdt
=πR2β
current =er
Considering dl a small element of ring.
de=(e2πR)dl
de=(r2πR)dl
potential difference =de−idr
=e2πRdl−err2πRdR=0
∴ all points in the ring are same potential
∮E.dl¯=dϕdt
El=πR2dBdt
E2πR=πR2β
E=βR2
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