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Two metallic rings of radius R are rolli...

Two metallic rings of radius `R` are rolling on a metalilc rod. A magnetic fied of magnitude B is applied in the region. The magnitude of potential difference between points `A` and `C` on the two rings (as shown) , will be

A

0

B

`4BomegaR^2`

C

`8BomegaR^2`

D

`2BomegaR^2`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_A-V_0=(Bomega(2R)^2)/2=2BomegaR^2` ..(i)
`V_0-V_C=(Bomega(2R)^2)/2=2BomegaR^2` ....(ii)

Adding these two equations, we get
`V_A-V_c=4BomegaR^2`
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