Mathematics

Problem

A laboratory investigation produced the following values of force on a

0.30\,\text{m}

long straight conductor kept perpendicular to a uniform magnetic field while different currents were passed through it. The strength of the magnetic field was constant but unknown. a. Current

I

(A):

\,\quad 2 \;\; 4 \;\; 6 \;\; 8

Force

F

(N):

\,\quad 0.48 \; 0.96 \; 1.44 \; 1.92

b. (i) Using the given data, draw a graph of force

F

(vertical axis) versus current

I

(horizontal axis) on a suitable scale. c. (ii) From your graph, find the slope and hence determine the magnetic flux density

B

present in the experiment. d. (iii) Use the graph to predict the force that would act on the conductor if the current were increased to

10\,\text{A}

under the same conditions.

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