Motion of Charged Particle in Electric Field: The motion of a charged particle in an electric field is determined by the interaction between the electric field and the electric charge of the particle. According to Coulomb’s law, a charged particle will experience a force in the direction of the electric field if it is placed in an electric field.

Motion of Charged Particle in Electric Field

This force is proportional to the magnitude of the electric charge and the electric field, and is given by the following equation:

F = qE

where:

• F is the force experienced by the charged particle.
• q is the magnitude of the electric charge of the particle.
• E is the electric field.

The motion of the charged particle in the electric field will be determined by Newton’s second law of motion, which states that the acceleration of an object is proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this can be written as:

F = ma

where:

• m is the mass of the charged particle.
• a is the acceleration of the charged particle.

Combining these two equations, we can write the equation for the motion of a charged particle in an electric field as:

ma = qE

This equation can be used to determine the velocity and position of the charged particle as a function of time, and to analyze the behavior of charged particles in electric fields.

It is important to note that the motion of a charged particle in an electric field will be influenced by other factors, such as the presence of other charged particles or magnetic fields, and these factors must be taken into account when analyzing the motion of charged particles. Additionally, the motion of charged particles in electric fields is an important topic in many areas of physics and engineering, including electric circuits, particle accelerators, and plasma physics.

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By Team Learning Mantras