Electron Motion in Magnetic Field · PhysicsBowl 2011 #29

Physics · electromagnetism

Problem

An electron moves with speed 1.00×1031.00\times 10^{3} m/s as it enters a region of space that has only a uniform magnetic field. The electron is accelerated because of this field with a constant magnitude of a=8.00×102a = 8.00\times 10^{2} m/s² for the entire time of 1.00×10−31.00\times 10^{-3} s that it is in the field. With what speed would the electron exit the field? Ignore gravity. (A) 1.80×1031.80\times 10^{3} m/s (B) 1.41×1031.41\times 10^{3} m/s (C) 1.00×1031.00\times 10^{3} m/s (D) 2.00×1012.00\times 10^{1} m/s (E) It depends on the initial angle of the electron's velocity with respect to the magnetic field.

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