Manipal MET2017PhysicsElectromagnetic Induction
A short solenoid of length 4 cm , radius 2 cm and 100 turns is placed inside and on the axis of a long solenoid of length 80 cm and 1500 turns. A current of 3 A flows through the short solenoid. The mutual inductance of two solenoids is
Options
- A2.96 10⁻⁴ H
- B5.3 10⁻⁵ H
- C3.52 10⁻³ H
- D8.3 10⁻⁵ H
Correct answer
A. 2.96 10⁻⁴ H
Step-by-step solution
M₂₁= ₀ N₁ N₂ A₂ l₁ M₂₁= (4 3.14 10⁻⁷ ) 1500 100 3.14 (2 10⁻² )^2 80 10⁻⁴ M₂₁=2.96 10⁻⁴ H M₁₂=M₂₁=2.96 10⁻⁴ H