1.

There is one conducting circular loop of radius R, which carries current I. There is another conducting circular loop of radius r placed coaxially at a distance x from it. Here r lt lt R and xgt gt R. Emf induced in the smaller loop when x starts increasing at a rate v.

Answer»

`(3mu_(0)IvR^(2)r^(2))/(4pix^(4))`
`(6mu_(0)IvR^(2)r^(2))/(X^(4))`
`(3mu_(0)vR^(2)r^(2))/(2x^(4))`
`(3mu_(0)IvR^(2)r^(2))/(2pix^(4))`

Solution :Magnitude of EMF induced when x is changed can be written as follows:
`epsilon = (mu_(0)IR^(2)pir^(2))/(2)|(dx^(-3))/(dt)|`
`epsilon = (mu_(0)IR^(2)pir^(2))/(2) (3)/(x^(4))(dx)/(dt)`
`epsilon = (3mu_(0)IR^(2)pir^(2))/(2x^(4))v`
`IMPLIES epsilon = (3mu_(0)IvR^(2)pir^(2))/(2x^(4))`


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