A 5.81 10-5 H solenoid is constructed by wrapping 62 turns of wire around a cylinder with a cross-sectional area of 8.20 10-4 m2 When the solenoid is shortened by squeezing the turns closer together, the inductance increases to 8.94 10-5 H. Determine the change in the length of the solenoid.

Question

Answer in m

Answer 1

L₁= μ₀N²A/x₁
=> x₁=μ₀N²A/L₁
L₂= μ₀N²A/x₂
=> x₂= μ₀N²A/L₂
Δx=x₂-x₁=μ₀N²A{(1/L₁)–(1/L₂)}