A plastic sphere carries an unknown positive charge

PHYSICS · Subjective · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A 2.0 g2.0\,\text{g} plastic sphere carries an unknown positive charge. The sphere is launched horizontally at 3.0×103 m/s3.0\times10^{3}\,\text{m/s} into a region where a uniform 0.40 T0.40\,\text{T} magnetic field is directed vertically downward. The initial velocity of the sphere is due east, so it is perpendicular to the field. If the magnetic force must exactly balance the sphere’s weight so that it continues in a straight horizontal line, determine the magnitude of the sphere’s charge. Express your answer in coulombs.

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