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A conducting wire of 100 turns is wound over 1cm near the centre of a solenoid of 100 cm length and 2 cm radius having 1000 turns. Calculate the coefficient of mutual inductance of the two solenoids.


(a) $ 1.58 \times 10^{-3} H$
(b) $ 1.58 \times 10^{-4} H$
(c) $ 1.58 \times 10^{-2} H$
(d) $ 1.58 \times 10^{-5} H$

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