A solenoid of length 60 cm with 15 turns per cm and area of cross section 4 × 10 - 3 m 2 completely surrounds another co-axial solenoid of same length and area of cross-section 2 × 10 - 3 m 2 with 40 turns per cm . Mutual inductance of the system is

Step-by-step solution

Given, Area of the inner solenoid, A = 2 × 10 - 3 Mutual inductance of the system, M = μ 0 n 1 n 2 A I ⇒ M = 4 π × 10 - 7 × 1000 × 4000 × 2 × 10 - 3 × 60 × 10 - 3 ⇒ M = 9   mH