AP Physics C: E&M
12.3 Magnetic Fields of Current-Carrying Wires and the Biot-Savart Law

According to the Biot-Savart law, the on-axis magnetic field is given by
\[ B(z) = \dfrac{\mu_0 I R^2}{2(R^2 + z^2)^{3/2}} \]
The students wish to construct a single linear graph using all their data points (\(z \ge 0\)) to confirm this functional relationship, which approaches the inverse-cube dipole dependence \(B \propto z^{-3}\) for \(z \gg R\). Which of the following pairs of quantities should be plotted on the vertical and horizontal axes to produce a linear graph, and what relationship correctly yields the radius \(R\) from the vertical intercept \(b\) and slope \(m\) of the best-fit line?
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