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AP Physics C: E&M
12.3 Magnetic Fields of Current-Carrying Wires and the Biot-Savart Law
12.2 Magnetism and Moving Charges
IntermediateMCQDrawing RepresentationsConceptual19.8k
A Cartesian coordinate plane with a vertical axis labeled \(y\) and a horizontal axis labeled \(x\), intersecting at an origin marked with an open circle. A thick vertical solid line lies along the vertical axis, with an upward-pointing arrowhead at its top labeled \(I_1\). A thick horizontal line segment lies along the positive horizontal axis, starting at a tick mark labeled \(d\) and ending at a tick mark labeled \(d+L\). A rightward-pointing arrowhead is drawn at the midpoint of this horizontal segment, labeled \(I_2\). A dashed dimension line below the horizontal axis extends from the tick mark \(d\) to the tick mark \(d+L\), labeled \(L\). No other labels, lines, text, or axes appear.
Coplanar arrangement of the long wire and the horizontal wire segment.
An infinitely long, straight wire lies along the \(y\)-axis and carries a constant current \(I_1\) in the \(+y\)-direction. A separate, straight wire segment of length \(L\) lies in the \(xy\)-plane along the \(x\)-axis from \(x = d\) to \(x = d + L\), where \(d > 0\), and carries a constant current \(I_2\) in the \(+x\)-direction. Which of the following diagrams best represents the direction and relative magnitude of the magnetic force per unit length, \(d\vec{F}/dx\), exerted on the horizontal wire segment by the magnetic field of the long wire?

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