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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
AdvancedMCQMathematicalConceptual18k
A vertical line representing a long straight wire runs along the vertical axis, with an upward-pointing arrow on the wire labeled \(I_1\). To the right of the wire lies a planar rectangular loop of width \(w\) and height \(L\). The left vertical side of the loop is parallel to the wire and located at a horizontal distance \(d\) from it, indicated by a horizontal double-headed arrow labeled \(d\). The width of the loop is indicated by a horizontal double-headed arrow at the top labeled \(w\), and the height of the loop is indicated by a vertical double-headed arrow along the right side labeled \(L\). Four arrows on the perimeter of the loop indicate a counterclockwise current labeled \(I_2\): one pointing downward on the left vertical segment, one pointing rightward on the top horizontal segment, one pointing upward on the right vertical segment, and one pointing leftward on the bottom horizontal segment. A Cartesian coordinate system in the lower-left shows the horizontal \(x\)-axis directed to the right and the vertical \(y\)-axis directed upward. No other labels, lines, text, or axes appear.
A rectangular current-carrying loop positioned a distance d from a long straight current-carrying wire.
A long, thin, straight wire lies along the \(y\)-axis and carries a constant current \(I_1\) in the \(+y\)-direction. A rigid rectangular loop with sides of length \(L\) parallel to the wire and width \(w\) perpendicular to the wire lies in the \(xy\)-plane in the region \(x > 0\), with its closest side at a distance \(d\) from the wire. The loop carries a constant counterclockwise current \(I_2\). Which of the following correctly pairs the direction of the net magnetic force on the entire loop with the net magnetic force exerted on the two segments perpendicular to the wire?

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