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AP Physics 2
12.2 Magnetism and Moving Charges
IntermediateMCQMathematical16.2k
A three-dimensional rectangular slab of conducting material is shown in perspective. The slab extends horizontally along length \(L\), has a horizontal width \(w\) extending back into the page, and a vertical thickness \(t\). An arrow labeled \(I\) points to the right along the length \(L\) on the front face, indicating the direction of electric current. Three parallel vertical magnetic field vectors labeled \(\vec{B}\) point upward through the top face of the slab. Labels \(L\), \(w\), and \(t\) mark the respective dimensions along the front horizontal edge, the top receding edge, and the vertical front edge. No other labels, lines, text, or axes appear.
A conducting slab carrying current in a uniform magnetic field.
A flat, rectangular slab of conducting material has length \(L\), width \(w\), and thickness \(t\). A uniform magnetic field of magnitude \(B\) is directed perpendicular to the top face of the slab. A constant current \(I\) flows along the length \(L\) of the slab, carried by charge carriers each having charge magnitude \(q\) and volume number density \(n\). Which of the following expressions represents the magnitude of the Hall voltage \(V_H\) established across the width \(w\) of the slab?

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