AP Physics C: E&M
12.3 Magnetic Fields of Current-Carrying Wires and the Biot-Savart Law
Three isolated, thin circular wire arcs carry steady currents as described in the table. Each arc is centered at its respective center of curvature.
Which of the following correctly ranks the magnitude of the magnetic field \(B\) produced at the center of curvature of each arc?
| Arc | Radius | Current | Subtended Angle |
|---|---|---|---|
| 1 | \(R\) | \(I\) | \(\pi\text{ rad}\) |
| 2 | \(2R\) | \(2I\) | \(\dfrac{\pi}{2}\text{ rad}\) |
| 3 | \(R\) | \(3I\) | \(\dfrac{\pi}{2}\text{ rad}\) |
Which of the following correctly ranks the magnitude of the magnetic field \(B\) produced at the center of curvature of each arc?
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