Time period of cyclotron motion – Rankers Physics
Topic: Magnetic Effects of Current
Subtopic: Force Acting on Moving Charges

Time period of cyclotron motion

A charged particle is moving on circular path with velocity \(v\) in a uniform magnetic field \(B\). If velocity of the particle and strength of magnetic field is doubled, then time taken to complete one revolution becomes
8 times
4 times
\(\frac{1}{2}\) times
\(\frac{1}{8}\) times

Solution:

The time period of revolution in a magnetic field is \[T = \frac{2\pi m}{qB}\]. It is independent of the velocity \(v\) and inversely proportional to \(B\). Thus, doubling \(B\) makes the time period half of its initial value.

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