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Question

A charged particle enters the environment of a strong and non-uniform magnetic field varying from point to point both in magnitude and direction and comes out of it following a complicated trajectory. Would its final speed equal to the initial speed, if -it suffered no collisions with the environment?

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Solution

The magnetic field present in the region affects the direction of motion of the particle but it doesn't affect the magnitude of the speed of the particles. So, it is fairly possible that the particle comes out with the same speed as the initial speed with which it enters the field.

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