Mathematics

Problem

A straight conductor of length

0.50\,\text{m}

carries a current of

10\,\text{A}

and makes an angle of

30^{\circ}

with a uniform magnetic field of strength

0.40\,\text{T}

. If the conductor is free to move through a distance of

0.20\,\text{m}

in the direction of the force, calculate the work done by the magnetic force during this displacement.