A solenoid of radius 3 cm and length 1 m has 600 turns per metre. What is its self inductance? Will the value of self inductance change if is would on an iron piece?

Explanation

Here, `r = 3 cm = 3 xx 10^(-2) m, l = 1 m,`
`N = 600, L = ?`
`A = pi r^(2) = pi (3 xx 10^(-2))^(2) = 9 pi xx 10^(-4) m^(2)`
`L = (mu_(0) N^(2) A)/(l) = (4 pi xx 10^(-7) (600)^(2) 9 pi xx 10^(-4))/(1)`
`= 1.28 xx 10^(-3) H`
If the solenoid is wound on an iron core, value of its self inductance will change.