Question

A solenoid is 2.0 m long and 3.0 cm in diameter. It has 5 layers of winding of 1000 turns each and carries a current of 5.0 A. What is the magnetic field at its centre?

Answer 1

Given, length of solenoid; $L=2m$

Diameter $d=3cm$

Current$I=5A$
Number of turns per metre $=\frac{5\times 1000}{2}$

$n=2500m^{-1}$

Using relation,

$B={\mu }_{0}nI$

$=4\pi \times {10}^{-7}\times 2500\times 5$

$B=1.57\times {10}^{-2}T$