A particle of mass (9.1 times 10^{-31} mathrm{~kg}) and carrying an unknown quantity of charge is shot

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A particle of mass \(9.1 \times 10^{-31} \mathrm{~kg}\) and carrying an unknown quantity of charge is shot at a velocity of \(2.0 \times 10^{4} \mathrm{~m} / \mathrm{s}\) to the right and enters the magnetic field generated by a large, flat current-carrying sheet. The current in the sheet is parallel to the particle's initial line of motion. The particle exits the magnetic field \(90 \mathrm{~mm}\) directly above the location where it enters. If the sheet carries a current density of \(4.0 \mathrm{~A} / \mathrm{m}\), what is the magnitude of the charge of the particle?

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