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AP Physics C: E&M
12.4 Ampère’s Law
IntermediateMCQMathematicalConceptual14.1k
Cross section of the coaxial cable showing the four observation points.
Cross section of the coaxial cable showing the four observation points.
A long coaxial cable consists of a solid inner cylindrical conductor of radius \(R\) and a thin outer coaxial cylindrical shell of radius \(3R\). The inner conductor carries a uniformly distributed current \(I\) directed out of the page, and the outer shell carries an equal current \(I\) directed into the page. Four points are located at radial distances \(r_1 = \dfrac{R}{2}\), \(r_2 = R\), \(r_3 = 2R\), and \(r_4 = 4R\) from the central axis of the cable. Which of the following correctly ranks the magnitudes of the magnetic fields \(B_1\), \(B_2\), \(B_3\), and \(B_4\) at these four points?

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