A 2m long solenoid with diameter 4 cm and 2000 turns has a secondary of 1000 turns wound closely near it mid point. Calculate the mutual inductance between the two coils.

Question

(a) $1.58 \times 10^{-2} H$
(b) $15.8 \times 10^{-2} H$
(c) $1.58 \times 10^{-3} H$
(d) $15.8 \times 10^{-3} H$