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A conducting circular loop is placed is ...

A conducting circular loop is placed is a uniform magnetic field B =0.20 T with its plane perpendicualr to the field . Somehow, the radius of the loop starts shrinking at a constant rate of `1.0 mm s^(-1)`. Find the induced emf in the loop at an instant when the radius is 2 cm.

Text Solution

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Here, `B = 0.02 T`,
`(dr)/(dt) = 1.0 mm//s = 10^(-3) m // s`
`e = ?, r = 2 cm = 2 xx 10^(-2) m`
As `phi = BA = B (pi r^(2))`
`:. |e| = (d phi)/(dt) = B (2 pi r) (dr)/(dt)`
`0.02 xx 2 xx 3.14 xx 2 10^(-2) xx 10^(-3)`
`= 2.5 xx 10^(-6) V`
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