Rankers Physics

Force Acting on Moving Charges: Practice Problem & Solution

Under the influence of a uniform magnetic field, a charged particle moves with constant speed $V$ in a circle of radius $R$. The time period of rotation of the particle: (2009)
Depends on $R$ and not on $V$
Is independent of both $V$ and $R$
Depends on both $V$ and $R$
Depends on $V$ and not on $R$

Solution Explained:

To solve this problem, we apply the core principles of Force Acting on Moving Charges. Understanding the underlying formula is key to arriving at the correct answer below:

The time period formula is $T = \frac{2\pi m}{qB}$. It depends only on mass, charge, and magnetic field, making it independent of both speed $V$ and radius $R$.

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