Mathematics

Problem

A conductor of length

0.30\,\text{m}

carrying

10\,\text{A}

makes an angle of

60^{\circ}

with a uniform magnetic field of

0.50\,\text{T}

. The current is then increased to

15\,\text{A}

and the conductor is rotated so that it now makes an angle of

30^{\circ}

with the same field. Determine the ratio of the new force to the original force on the conductor.