A charged particle of charge q > 0 is sent with velocity ~v into a region of uniform electric field E~ (the velocity and electric field are perpendicular). a) We now turn on a uniform magnetic field in the region; the particle will experience both an electric and magnetic force. What direction should the magnetic field be pointed so that the particle’s velocity remains unchanged? Justify your answer.

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 63P: A long cylinder of copper of radius 3 cm is charged so that it has a uniform charge per unit length...
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A charged particle of charge q > 0 is sent with velocity ~v into a region of uniform electric field E~ (the velocity and electric field are perpendicular).

a) We now turn on a uniform magnetic field in the region; the particle will experience both an electric and magnetic force. What direction should the magnetic field be pointed so that the particle’s velocity remains unchanged? Justify your answer.

b) What must the magnitude of the magnetic field be so that the particle’s velocity remains unchanged? Answer in terms of q, E, and/or v. Justify your answer.

A charged particle of charge q > 0 is sent with velocity i into a region of uniform electric field E (the velocity
and electric field are perpendicular).
+)
+
Transcribed Image Text:A charged particle of charge q > 0 is sent with velocity i into a region of uniform electric field E (the velocity and electric field are perpendicular). +) +
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