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AP Physics 2
12.4 Electromagnetic Induction and Faraday’s Law
AdvancedMCQMathematicalProportional Analysis18k
A schematic showing vertical conducting rails separated by distance L, bridged at the top by a zero-resistance wire. A horizontal conducting rod of mass m and resistance R slides vertically down the rails under gravity g. A uniform magnetic field B, indicated by an array of field vectors pointing into the page, is present throughout the region. An arrow labeled v points downward along the rod, an upward magnetic force vector arrow labeled F_B acts on the rod, and a downward force vector arrow labeled F_g acts on the rod. No other labels, lines, text, or axes appear.
A conducting rod sliding down vertical rails in a uniform magnetic field.
Four conducting rods are placed on long, vertical, parallel, frictionless conducting rails in a uniform magnetic field of magnitude \(B\) directed perpendicular to the plane of the rails. Each rod-rail circuit has a different combination of rod mass \(m\), rod resistance \(R\), and rail separation distance \(L\), as shown in the table. Each rod is released from rest and accelerates downward until reaching its terminal velocity.

RodMassResistanceRail Separation
1\(m_0\)\(R_0\)\(L_0\)
2\(m_0\)\(2R_0\)\(L_0\)
3\(2m_0\)\(R_0\)\(L_0\)
4\(m_0\)\(R_0\)\(2L_0\)

Which of the following correctly ranks the rate of electrical energy dissipation \(P\) in the rods once each has reached its terminal velocity?

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