A steel wire of length carries a current while making an angle of with a uniform…

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

Problem

A steel wire of length

0.60\,\text{m}

carries a current

I_1 = 10\,\text{A}

while making an angle of

75^{\circ}

with a uniform magnetic field of

0.40\,\text{T}

. (i) Show that the magnetic force acting on the wire under these conditions is

2.3\,\text{N}

(to two significant figures). (ii) The current in the wire is then adjusted to a new value

I_2

and simultaneously the wire is rotated to make an angle of

40^{\circ}

with the same magnetic field. If the magnitude of the magnetic force is to remain

2.3\,\text{N}

, determine the value of the new current

I_2

required.