If a single circular loop of wire carries a current of 63 A and produces a magnetic field at its center with a magnitude of 1.70 10-4 T, determine the radius of the loop.

The radius of the circular loop is 0.233 m

Explanation:

Given;

current on the circular loop, I = 63 A

magnitude of the magnetic field, B = 1.7 x 10⁻⁴ T

The magnetic field at the center of a circular loop is given by;

Where;

R is the radius of the circular loop

μ is the permeability of free space = 4π x 10⁻⁷ T.m/A

Substitute the givens;

Therefore, the radius of the circular loop is 0.233 m