Question

A flat, circular loop has 18 turns. The radius of the loop is 15.0 cm and the current through the wire is 0.51 A. Determine the magnitude of the magnetic field at the center of the loop (in T).

Answer 1

The magnitude of the magnetic field at the center of the loop is 3.846 x 10⁻⁵ T.

Step-by-step explanation:

Given;

number of turns of the flat circular loop, N = 18 turns

radius of the loop, R = 15.0 cm = 0.15 m

current through the wire, I = 0.51 A

The magnetic field through the center of the loop is given by;

`B = (N\mu_o I)/(2R)`

Where;

μ₀ is permeability of free space = 4π x 10⁻⁷ m/A

`B = (N\mu_o I)/(2R) \\\\B = (18*4\pi*10^(-7) *0.51)/(2*0.15) \\\\B = 3.846 *10^(-5) \ T`

Therefore, the magnitude of the magnetic field at the center of the loop is 3.846 x 10⁻⁵ T.