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AP Physics 2
12.2 Magnetism and Moving Charges
10.3 Electric Fields
10.1 Electric Charge and Electric Force
Multi-Unit
AdvancedMCQMathematicalConceptual19.4k
A schematic diagram showing a small solid dark circle labeled \(-q\) and \(m\) in the center. A single horizontal arrow extends to the right from the droplet, labeled \(v_0\). Directly to the left, a coordinate reference is shown with a vertical arrow pointing upward labeled \(+y\) and a horizontal arrow pointing right labeled \(+x\). A downward-pointing vertical arrow on the far left is labeled \(g\). Four parallel downward-pointing vertical arrows are distributed horizontally across the upper region, each labeled \(E\). No other labels, lines, text, or axes appear.
Charged droplet moving through uniform gravitational and electric fields.
A small droplet of mass \(m\) and negative charge \(-q\) (where \(q > 0\)) travels horizontally to the right with constant speed \(v_0\) through a region of uniform gravitational, electric, and magnetic fields.

The gravitational field \(\vec{g}\) and the electric field \(\vec{E}\) are both directed vertically downward, and the field magnitudes satisfy \(qE > mg\).

In order for the droplet to continue moving along a straight horizontal path at constant speed, what must be the direction and magnitude of the magnetic field \(\vec{B}\)?

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