Question

Assume that the magnetic field is uniform in a cubical region and zero outside. Can you project a charged particle from outside into the field, so that the particle describes a complete circle in the field?

Answer 1

Solution Assume that the Magnetic Field is Uniform in a Cubical Region and Zero Outside. Can You Project a Charged Particle from Outside into the Field, So that the Particle Concept: Force on a Moving Charge in Uniform Magnetic and Electric Fields

Answer 2

Explanation:

• Let’s consider that there is a uniform magnetic field. In the cubical region, it acts along the positive x-axis.
• Now, if a charged particle is projected within the cube along the positive y-axis, then the direction of the magnetic field and velocity are perpendicular to each other. This is the reason why the particle’s resultant trajectory is circle.
• It is always to be noted that the magnetic field will be perpendicular to the charged particle and it exhibits a circular trajectory.