Consider the situation described in the previous example. A particle of mass m having a charge q is placed at a distance d from the metal sheet and is projected towards it. Find the maximum velocity of projection for which the particle does not hit the sheet.

Explanation

To find the maximum velocity of projection for which a charged particle does not hit a metal sheet, we can follow these steps:

### Step 1: Understand the Forces Acting on the Particle
The charged particle experiences a magnetic force due to the magnetic field created by the current in the metal sheet. The magnetic force \( F \) acting on the particle can be expressed as:
\[ F = q(\mathbf{v} \times \mathbf{B}) \]
where \( q \) is the charge of the particle, \( \mathbf{v} \) is the velocity of the particle, and \( \mathbf{B} \) is the magnetic field.
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