Deviation of a charged particle in a magnetic field – Rankers Physics

Force Acting on Moving Charges: Practice Problem & Solution

A charged particle enters a magnetic field at right angles to the magnetic field. The field exists for a length equal to 1.5 times the radius of circular path of the circle. The particle will be deviated from its path by angle
90°
\(\sin^{-1}\left(\frac{2}{3}\right)\)
30°
180°

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:

Since the width of the magnetic field region \(x = 1.5R\) is greater than the radius \(R\), the particle will complete a semicircle inside the field and exit in the opposite direction, giving a deviation of \(180^\circ\).

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