1.

A conducting ring of radius a is rotated about a point O on its periphery as shown in the figure in a plane perpendicular to uniform magnetic field B which exists everywhere. The rotational velocity is omega. Choose the correct statement(s) related to the potential of the points P, Q and R

Answer»

`V_(P)-V_(O)GT0 and V_(R)-V_(O)LT0`
`V_(P)=V_(R)gtV_(O)`
`V_(O)gtV_(P)=V_(Q)`
`V_(Q)-V_(P)=V_(P)-V_(O)`

Solution :`V_(P)-V_(O)=V_(R)-V_(O)=1/2 Bomega(SQRT(2)a)^(2)`
`V_(P)-V_(O)=V_(R)-V_(O)=Bomegaa^(2)`
`V_(P)=V_(R) gt V_(O)`

`V_(Q)-V_(P)=(V_(Q)-V_(P))-(V_(P)-V_(O))`
`=1/2Bomega(2a)^(2)-(1/2Bomega(sqrt(2)a)^(2))=Bomegaa^(2)`
`=V_(Q)-V_(P)=V_(P)-V_(Q)`


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