In a school project

MATHEMATICS · Multi-part · ISC · Physics · Magnetic Effects of Current and Magnetism · Force on moving charges

Problem

In a school project, a student wishes to produce a force of

0.60\,\text{N}

on a straight wire kept perpendicular to a magnetic field. The available wire can safely carry a current of up to

2.0\,\text{A}

and a length of

40\,\text{cm}

can be placed within the field. (i) Calculate the minimum magnetic field strength required to obtain the desired

0.60\,\text{N}

force under the given conditions. (ii) If only a

1.5\,\text{A}

current source is available, determine the length of wire (in cm) that must lie within the same magnetic field found in part (i) to produce the same

0.60\,\text{N}

force. (iii) Comment briefly on how the required length of wire depends on the current when the desired force and magnetic field are kept constant.