A conducting ring of radius r is placed perpendicularly inside a time varying magnetic field given by b=b0 +at
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ϕ = π R^2 B
e = π R^2 dB dt
= π R^2 β
current = e / r
If dl would be a small element of ring.
de = ( e / 2πR ) dl
de = ( r / 2πR ) dl
V = de−idr
= e / 2πR dl − er r / 2πR dR = 0
All points would have same potential :
∮E. dl¯= d ϕ dt
El = π R^2 dB / dt
E 2πR = π R^ 2β
E = βR / 2
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