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AP Physics 2
12.2 Magnetism and Moving Charges
AdvancedMCQMathematical25.6k
A 3D rectangular block representing a conductor is oriented relative to Cartesian axes. The block has length L along the horizontal x-axis, width w along the transverse y-axis, and thickness t along the vertical z-axis. An arrow labeled I points to the right along the +x-direction entering the left face. Three vertical parallel arrows labeled B point upward in the +z-direction, passing perpendicularly through the top face of the block. On the front and back vertical faces separated by width w along the y-axis, dashed lead lines connect to a voltmeter symbol labeled V_H. No other labels, lines, text, or axes appear.
A conducting slab carrying current I in a magnetic field B.
A rectangular conducting slab has length \(L\), width \(w\), and thickness \(t\). A steady current \(I\) flows along the length of the slab, which is placed in a uniform magnetic field of magnitude \(B\) directed perpendicular to the face bounded by \(L\) and \(w\). In the steady state, charge accumulation on opposite side faces separated by distance \(w\) establishes a Hall potential difference \(V_H\). Which of the following expressions correctly gives the magnitude of the drift velocity \(v_d\) of the charge carriers in terms of the given quantities?

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