Radial Acceleration in Transverse Magnetic Field – Rankers Physics

Force Acting on Moving Charges: Practice Problem & Solution

A charge particle having mass \(m\) and charge \(q\) moving with speed \(v\) in uniform transverse magnetic field \(B\). The radial acceleration of charge particle will be
\(\frac{qB}{mv}\)
\(\frac{qBv}{m}\)
\(\frac{v^2 qB}{m}\)
\(\frac{mv^2}{qB}\)

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 magnetic force provides the necessary centripetal force: \(F = qvB = m a_r\). Thus, the radial acceleration is \(a_r = \frac{qvB}{m}\).

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