A single rigid square loop of thin wire

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Magnetostatics · Magnetostatics

Electricity, Magnetism and Electromagnetism, Ch The Biot-Savart law and the fields of steady currents

Problem

A single rigid square loop of thin wire, of side

4.0\,\mathrm{cm}

, lies in the

xy

-plane and carries a steady current of

0.50\,\mathrm{A}

which runs anticlockwise when the loop is viewed from the

+z

side. The loop sits in a uniform magnetic field

\mathbf{B} = 0.20\,\hat{\mathbf{y}}\,\mathrm{T}

. The field the loop's own current makes is negligible compared with

\mathbf{B}

, and gravity is ignored. ((a)) Find the magnetic dipole moment

\mathbf{m}

of the loop, giving its magnitude and direction. ((b)) Find the magnitude and direction of the torque on the loop. ((c)) One side of the loop carries its current along

+\hat{\mathbf{x}}

. Find the magnitude and direction of the force on that side.

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