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AP Physics C: E&M
12.4 Ampère’s Law
AdvancedMCQGraphicalMathematicalConceptual14.6k
A circular cross section of a coaxial cable centered at the origin. An inner solid circle of radius a has light-gray shading and contains several uniformly spaced dots indicating current directed out of the page. A thin double-headed radial arrow labeled a extends from the center to the edge of this inner circle. An unshaded annular gap surrounds the inner circle out to a dashed concentric circle of radius b, with a radial arrow from the center to this dashed circle labeled b. Outside this gap is a concentric annular region bounded by inner radius b and outer radius c, shaded with medium-gray and containing several uniformly spaced cross symbols indicating current directed into the page. A radial arrow from the center to the outer boundary is labeled c. No other labels, lines, text, or axes appear.
Cross section of the coaxial cable carrying equal and opposite currents.
A long coaxial cable consists of an inner solid cylindrical conductor of radius \(a\) and a concentric outer cylindrical conducting shell with inner radius \(b\) and outer radius \(c\). The inner conductor carries a total current \(I\) uniformly distributed across its cross section. The outer shell carries an equal total current \(I\) in the opposite direction, also uniformly distributed across its cross section. Which of the following graphs best represents the magnitude of the magnetic field \(B\) as a function of radial distance \(r\) from the central axis of the cable?

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