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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
12.3 Magnetism and Current-Carrying Wires
AdvancedMCQMathematical15.6k
A square wire loop of side length s falls vertically downward toward a horizontally bounded region containing a uniform magnetic field B directed into the page, represented by cross symbols. The bottom horizontal segment of the square loop is inside the magnetic field region while the upper horizontal segment is above the field region. A downward arrow labeled g indicates the direction of gravitational acceleration. No other labels, lines, text, or axes appear.
Square conducting loop falling into a magnetic field region.
A square conducting loop with side length \(s\) is constructed from wire with cross-sectional area \(A\), volumetric mass density \(\delta\), and electrical resistivity \(\rho\). The loop falls vertically from rest under gravity \(g\) in the plane of the loop, such that its bottom edge enters a region containing a uniform horizontal magnetic field of magnitude \(B\) directed perpendicular to the plane of the loop. As the loop enters the field, it reaches a constant terminal speed \(v_T\) before its top edge enters the field region. Which of the following expressions represents the terminal speed \(v_T\)?

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