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Discuss the force experienced by a charged particle in an electromagnetic field.

Question

Discuss the force experienced by a charged particle in an electromagnetic field.

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Solution

The force experienced by a charged particle in an electromagnetic field is described by the Lorentz Force Law. This law states that the force (F) on a particle of charge q moving with velocity v in an electromagnetic field characterized by electric field E and magnetic field B is given by:

F = q(E + v × B)

Here's a step-by-step breakdown:

  1. Identify the charge of the particle (q). This could be positive or negative depending on the particle. For example, electrons have a negative charge, while protons have a positive charge.

  2. Determine the velocity of the particle (v). This is a vector quantity, meaning it has both magnitude (speed) and direction.

  3. Identify the electric field (E) and magnetic field (B). These are also vector quantities. The electric field is defined as the electric force per unit charge. The magnetic field describes the influence of magnetic forces on moving charges.

  4. Calculate the cross product of

This problem has been solved

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