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AP Physics 2
12.3 Magnetism and Current-Carrying Wires
AdvancedMCQMathematicalConceptual17.3k
A side view diagram showing a thin rectangular wire coil tilted at an angle relative to the vertical. At the top left, a fixed horizontal pivot axle aligned perpendicular to the page supports the top edge of the coil. A dashed vertical line extends downward from the pivot. The plane of the coil extends downward and to the right from the pivot at an angle \(\theta\) relative to the dashed vertical line. An arrow labeled \(m\vec{g}\) points vertically downward from the center of the coil segment. Multiple vertical, evenly spaced arrows pointing upward represent a uniform magnetic field labeled \(\vec{B}\). An arc indicating the deflection angle \(\theta\) is drawn between the dashed vertical line and the tilted coil plane. No other labels, lines, text, or axes appear.
Side view of the rectangular coil suspended in a uniform magnetic field.
A rectangular coil of mass \(m\), width \(w\), and length \(L\) is suspended from a frictionless horizontal pivot line along one of its sides of length \(L\). The coil carries a constant current \(I\) and is located in a uniform vertical magnetic field of magnitude \(B\) pointing upward. Due to the magnetic forces, the coil deflects and hangs in static equilibrium such that its plane makes an angle \(\theta\) with the vertical. Which of the following expressions represents the current \(I\) required to maintain this equilibrium configuration?

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