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A particle with charge and mass is moving in a region containing a uniform electric field and a uniform magnetic field , both directed along the -axis. If the particle starts from the origin with velocity in the -plane, what is the path of the particle?
- A.A helix with increasing pitch
- B.A circle in the -plane
- C.A straight line
- D.A parabola
Show correct answer & step-by-step solution
Correct answer: A — A helix with increasing pitch
Solution
The velocity in the -direction is . The circular motion in the -plane has constant angular frequency . The combination of these motions creates a helix with increasing pitch.
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