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Question: Answered & Verified by Expert
An electrically charged particle enters into a uniform magnetic induction field in a direction perpendicular to the field with a velocity $v$. Then, it travels
PhysicsMagnetic Effects of CurrentAP EAMCETAP EAMCET 2014
Options:
  • A in a straight line without acceleration
  • B with force in the direction of the field
  • C in a circular path with a radius directly proportional to $v^2$
  • D in a circular path with a radius directly proportional to its velocity
Solution:
1065 Upvotes Verified Answer
The correct answer is: in a circular path with a radius directly proportional to its velocity
By motion of charged particles in uniform magnetic field


$$
r=\frac{m v}{q B}
$$
So, $r \propto v$
It travels in a circular path with a radius directly proportional to its velocity.

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