AP Physics C: E&M
12.4 Ampère’s Law
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 \(B_0 = \dfrac{\mu_0 I}{2\pi R}\).
Which of the following correctly classifies the current distribution inside each cylinder for \(r \le R\)?
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 Distance | Cylinder 1 | Cylinder 2 | Cylinder 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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