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.

Question

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