Using Amperes Law integral B middot ds mu0iexe and the loop

Using Ampere\'s Law integral B middot ds = mu_0i_exe and the loop shown, find expressions for the magnetic field everywhere for an infinitely wide ribbon of n wires per length with each wire carrying current i out of the page.

Solution

Here,

let the magentic field is B

Now, distance from the wire ribbon is r

using Amphere circuital law

2 * L * B = u0* n * I * L

B = u0 * I * n/(2)

the expression for magnetic field is u0 * I * n/(2)