A circular loop of radius carries a steady current

PHYSICS · Subjective · AP · Physics C: Electricity and Magnetism · Magnetic Fields and Electromagnetism · Magnetic Fields and Electromagnetism

Problem

A circular loop of radius

R

carries a steady current

I

. (i) Derive an expression for the magnitude of the magnetic field at an arbitrary point on the axis of the loop at a distance

x

from its centre. (ii) Hence write the value of the magnetic field exactly at the centre of the loop. (iii) For

R = 0.10\,\text{m}

and

I = 5.0\,\text{A}

, calculate the magnetic field at the centre. Use

\mu_{0}=4\pi\times10^{-7}\,\text{T\,m\,A}^{-1}