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AP Physics 2
12.2 Magnetism and Moving Charges
10.7 Conservation of Electric Energy
Multi-Unit
AdvancedMCQMathematicalProportional AnalysisConceptual22.2k
A schematic diagram showing two parallel vertical conducting plates on the left separated by a gap labeled with potential difference \Delta V. A positive charge starts from rest at the left plate and passes horizontally through a small opening in the right plate. To the right of the plates, a rectangular region contains a uniform grid of six small cross symbols indicating a magnetic field \vec{B} directed into the page. Inside this region, a dashed line depicts the particle path curving upward in a semicircle of radius labeled r. No other labels, lines, text, or axes appear.
Apparatus showing ion acceleration across a potential difference followed by circular deflection in a magnetic field.
In an experiment to determine the mass-to-charge ratio \(m/q\) of positive ions, ions of mass \(m\) and charge \(q\) are accelerated from rest across an adjustable potential difference \(\Delta V\). The ions then enter a region containing a uniform magnetic field of known magnitude \(B\) directed perpendicular to their velocity, which deflects them into circular arcs of radius \(r\). To obtain a linear graph from the experimental data, which quantities should be plotted on the vertical and horizontal axes, and how is the mass-to-charge ratio determined from the slope \(S\) of the resulting best-fit line?

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