Faraday's law of Electromagnetic induction

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Question

If the radius of a coil is changing at the rate 10^-2 units in a normal magnetic field 10^-3 units, the induced emf is 1 μV. What is the final radius of the coil ?

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Solution

e= $e = \frac{d ϕ}{d t} \Rightarrow e = B \frac{d A}{d R} \frac{d R}{d t}! 0^{- 6} = 10^{- 3} (2 πR) (10^{- 2}) R = 1.6 cm$

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