Rankers Physics

Force Acting on Moving Charges: Practice Problem & Solution

A charge 'q' moves in a region where electric field and magnetic field both exist, then force on it is: (2002)
$q(\vec{V} \times \vec{B})$
$q \vec{E} + q(\vec{V} \times \vec{B})$
$q\vec{E} + q(\vec{B} \times \vec{V})$
$q\vec{B} + q(\vec{E} \times \vec{V})$

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 total electromagnetic force on a moving charge in both electric and magnetic fields is the Lorentz force.
It is the vector sum of the electric force $q\vec{E}$ and the magnetic force $q(\vec{V} \times \vec{B})$.

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