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The Circular Motion

Question

Path of charged particle, if only magnetic force acts on it can be.

A

circle

B

helix with constant pitch

C

helix with variable pitch

D

cycloid

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Solution

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If the velocity of the charged makes an angle $θ$ with the direction of the magnetic field, ,due to component perpendicular to $\to B$ , the particle moves in a circle. The component parallel to $\to B$ provides motion along the $\to B$ .
Thus, the particle will have a helical path. In a uniform magnetic field, the pitch will be constant.

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