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AP Physics C: E&M
12.4 Ampère’s Law
IntermediateMCQMathematicalConceptual18.5k
Three long cylindrical conductors, each of radius \(R\), carry the same total current \(I\) distributed symmetrically about their central longitudinal axes.

The table shows the measured magnetic field magnitude \(B(r)\) as a function of radial distance \(r\) from the central axis for each cylinder, where \(B_0 = \dfrac{\mu_0 I}{2\pi R}\).

Radial DistanceCylinder 1Cylinder 2Cylinder 3
\(r = 0.5R\)\(0\)\(0.5B_0\)\(0.25B_0\)
\(r = R\)\(B_0\)\(B_0\)\(B_0\)
\(r = 2R\)\(0.5B_0\)\(0.5B_0\)\(0.5B_0\)

Which of the following correctly classifies the current distribution inside each cylinder for \(r \le R\)?

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