Acoil of 30 turns is wrapped around a long solenoid of cross-sectional area 7.0 ✕ 10−3 m2. the solenoid is 0.40 m long and has 600 turns. (a) what is the mutual inductance of this system (in h)? h (b) the outer coil is replaced by a coil of 30 turns whose radius is three times that of the solenoid. what is the mutual inductance of this configuration (in h)?

a) 1.26×10⁻⁴ H

b) 1.26×10⁻⁴ H

Step-by-step explanation:

N₁ = Number of turns in the solenoid = 600

N₂ = Number of turns in the coil = 30

A = Cross sectional area = 7×10⁻³ m²

l = Length of the solenoid = 0.4 m

μ₀ = Permeability of free space = 4π10⁻⁷ T m/A

a) Mutual inductance

∴ Mutual inductance of this system is 1.26×10⁻⁴ H

b) Mutual inductance does not depend on the cross sectional of the outer coil but depends on the area of the solenoid.

Hence, the mutual inductance remains the same.