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AP Physics C: E&M
12.3 Magnetic Fields of Current-Carrying Wires and the Biot-Savart Law
IntermediateMCQGraphicalMathematicalExperimental18.7k
Two vertical solid line segments of equal length run parallel to each other, spaced apart horizontally. On the left vertical line, an upward-pointing arrow along the line is labeled I. On the right vertical line, an identical upward-pointing arrow along the line is also labeled I. A horizontal dashed double-headed arrow spans between the two vertical lines at their midpoints and is labeled d. At the midpoint of the left line, a horizontal solid arrow points directly toward the right line and is labeled F. At the midpoint of the right line, an equal-length horizontal solid arrow points directly toward the left line and is also labeled F. No other labels, lines, text, or axes appear.
Two parallel wires carrying identical currents \(I\) separated by distance \(d\).
In an experiment to determine the vacuum permeability \(\mu_0\), students measure the attractive magnetic force per unit length \(F/\ell\) between two long, straight parallel wires carrying identical steady currents \(I\). The measurement is repeated for several different separation distances \(d\). To determine an experimental value for \(\mu_0\) from a linear graph, which quantities should be plotted on the vertical and horizontal axes, and how is \(\mu_0\) related to the slope \(m\) of the resulting best-fit line?

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