A solenoid of length 60   cm with 15 turns per cm and area of cross section 4 × 10 - 3   m 2…

A solenoid of length 60 cm with 15 turns per cm and area of cross section 4×10-3 m2 completely surrounds another co-axial solenoid of same length and area of cross-section 2×10-3 m2 with 40 turns per cm. Mutual inductance of the system is
  1. 9mH
  2. 6mH
  3. 3mH
  4. 10mH

Solution

Given, Area of the inner solenoid, A=2×10-3

Mutual inductance of the system, M=μ0n1n2AI

⇒M=4π×10-7×1000×4000×2×10-3×60×10-3

⇒M=9 mH

Asked in: AP EAMCET 2021 (19 Aug Shift 2)

Practice more Electromagnetic Induction questions on Aicharya