Question

A solenoid is to have an inductance of 0.265 mH, a cross sectional area of A = 5.50 ✕ 10−3 m2, and a length of ℓ = 37.0 cm. How many turns per unit length should the solenoid have?

Answer 1

inductance of a solenoid is given as

where

L=inductance of solenoid=0.265*10-3 henry

number of turns

Area of the coil=5.5*10-3 m2

l= lenght of solenoid=0.37 meters,

putting these values

or approximately 120 turns are there.

therefore number of turns per unit length are

or we can approximate it as 325 turns per meter