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AP Physics C: E&M
12.4 Ampère’s Law
12.3 Magnetic Fields of Current-Carrying Wires and the Biot-Savart Law
IntermediateMCQDrawing RepresentationsMathematicalConceptual22.1k
A horizontal axis labeled x passes through the origin marked with a small tick labeled 0. On the left, centered at -3R, is a circle of radius R with light gray fill containing a centered dot symbol labeled I. On the right, centered at +3R, is a circle of radius 2R with light gray fill containing a centered cross symbol labeled 2I. Three points on the horizontal line are marked with solid black dots: point P at -5R, point Q at 0, and point R at +4R located inside the larger circle. A small vertical segment at 0 represents the y-axis, labeled y. No other labels, lines, text, or axes appear.
Cross section of two parallel cylindrical conductors in the xy-plane.
Two long, parallel, solid cylindrical conductors are oriented perpendicular to the \(xy\)-plane. Conductor 1 has radius \(R\), is centered at \((x, y) = (-3R, 0)\), and carries a uniform current \(I\) directed out of the page. Conductor 2 has radius \(2R\), is centered at \((x, y) = (+3R, 0)\), and carries a uniform current \(2I\) directed into the page. Which of the following diagrams best represents the direction and relative magnitude of the net magnetic field \(\vec{B}\) at points \(P\) at \((-5R, 0)\), \(Q\) at \((0, 0)\), and \(R\) at \((+4R, 0)\)?

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