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AP Physics C: E&M
12.4 Ampère’s Law
IntermediateMCQConceptual13.1k
Two circular Amperian paths, C1 and C2, enclosing a current-carrying wire.
Two circular Amperian paths, C1 and C2, enclosing a current-carrying wire.
A long, straight wire carries a steady current directed out of the page. Two closed circular Amperian paths, labeled \(C_1\) and \(C_2\), are situated in a plane perpendicular to the wire. Path \(C_1\) is centered on the wire. Path \(C_2\) has the same radius as path \(C_1\) but is off-center, though it still encloses the wire completely. Which of the following correctly compares the line integral \(\oint \vec{B} \cdot d\vec{\ell}\) along each path and describes the practical use of Ampère's law to calculate the magnitude of the magnetic field \(B\) along path \(C_2\)?

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