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AP Physics 2
12.3 Magnetism and Current-Carrying Wires
12.1 Magnetic Fields
IntermediateMCQMathematicalConceptual16.7k
A horizontal axis labeled x extends left to right with an arrowhead on the right. Two identical vertical circular wire loops are centered on the x-axis, separated by a distance labeled 2R. Loop 1 is on the left, and Loop 2 is on the right. Both loops have radius R, indicated by a vertical dashed radius line labeled R on Loop 1. Circular arrows indicate current I in Loop 1 (clockwise when looking from the right) and in Loop 2 (counterclockwise when looking from the right). Three points are marked along the x-axis with filled black dots: point P_1 at the center of Loop 1; point P_2 on the axis halfway between Loop 1 and Loop 2, labeled at distance R from each loop; and point P_3 on the axis to the right of Loop 2, labeled at distance 2R from Loop 2. No other labels, lines, text, or axes appear.
Two coaxial current loops carrying opposite currents and three points along their common axis.
Two identical circular wire loops, Loop 1 and Loop 2, each of radius \(R\), are fixed parallel to each other along a common central axis (the \(x\)-axis) separated by a distance \(2R\). Loop 1 carries a steady current \(I\) in the clockwise direction when viewed from the positive \(x\)-axis, while Loop 2 carries an equal steady current \(I\) in the counterclockwise direction. Three points along the central axis are identified:

• Point \(P_1\) is at the center of Loop 1.
• Point \(P_2\) is at the midpoint between the two loops.
• Point \(P_3\) is located on the axis a distance \(2R\) to the right of Loop 2.

Which of the following correctly ranks the magnitude of the net magnetic field \(B\) at points \(P_1\), \(P_2\), and \(P_3\)?

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