A non uniform magnetic field `B=B_(0)that"i"` in a region exists. A circular conducting loop of radius r and resistance R is placed with its plane in yz-plane. Determine the current through the loop and sense of the current.

Explanation

The flux linked with loop is

We know that magnetic flux is given as
`phi_(B)=B.S=(B_(0)t)(pir^(2))cos0^(@)`
`rArr" "phi_(B)=B_(0)pir^(2)t" and "(dphi)/(dt)=B_(0)pir^(2)`
Further, induced emf, `epsilon=(-dphi)/(dt)=-B_(0)pir^(2)`
Therefore, current, `i=(|epsilon|)/(R)=(B_(0)pir^(2))/(R)`
By Lenz's law, i should be clockwise, so that it can oppose the increase in magnetic field.