Velocity of undeflected charged particle in crossed fields – Rankers Physics

Force Acting on Moving Charges: Practice Problem & Solution

In crossed electric and magnetic field, the velocity of charged particle which passes undeflected through the region may be (where \(E\) is electric field and \(B\) is magnetic field)
\(v = E^2B\)
\(v = \frac{E}{B}\)
\(v = \frac{E^2}{B}\)
\(v = \frac{B}{E}\)

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:

For a charged particle to pass undeflected in crossed electric and magnetic fields, the net Lorentz force must be zero. Hence, \(qE = qvB ⇒ v = \frac{E}{B}\).

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