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A uniform magnetic field B=B(0)that"i" i...

A 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.

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The flux linked with the loop is `phi=vecB.vecA=(B_(0)t)(pir^(2))cos-0^(@)`
`phi=B_(0)pir^(2)t`
`(dphi)/(dt)=B_(0)pir^(2)`
`epsilon=(-d phi)/(dt)=-B_(0)pir^(2) rArr =(|epsilon|)/(R)=(B_(0)pir^(2))/(R)`
By Lenz's law, `i` should be clockwise (as seen by an observer standing on z-axis) so that it can oppose the increase in magnetic field.
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