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AP Physics C: E&M
12.4 Ampère’s Law
AdvancedMCQConceptual22.3k
A graph of magnetic field magnitude B on the vertical axis versus radial distance r on the horizontal axis. The horizontal axis has tick marks labeled 0 at the origin, a, b, and c in order of increasing distance. From r = 0 to r = a, a solid line rises linearly from the origin to a maximum value at r = a. From r = a to r = b, a solid concave-up curve decays with negative slope, joining the linear segment at r = a at a distinct sharp peak. From r = b to r = c, another solid curve decreases more steeply to touch the horizontal axis at r = c with a non-zero negative slope, forming a sharp kink with the preceding segment at r = b. For r > c, a solid line lies flat along the horizontal axis at B = 0, meeting the curve at a sharp kink at r = c. Bare axes without gridlines. No other labels, lines, text, or axes appear.
Magnetic field magnitude B versus radial distance r for the coaxial cable.
A long coaxial cable consists of a solid cylindrical inner conductor of radius \(a\) and a coaxial outer cylindrical conducting shell with inner radius \(b\) and outer radius \(c\). The inner conductor carries a total current \(I_0\) uniformly distributed over its cross-sectional area in the \(+z\)-direction, and the outer shell carries an equal total current \(I_0\) uniformly distributed over its cross-sectional area in the \(-z\)-direction. The graph shows the magnitude of the magnetic field \(B\) as a function of the radial distance \(r\) from the central axis of the cable. Which of the following statements correctly interprets the features of the graph in terms of the current distribution in the cable?

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