# Kinetic Energy of a Charged Particle near a Charged Ring

• SkyeAlen
In summary, a point charge of value q=8uC is released from rest at a distance of 1.5m from the center of a ring with uniform charge density of 3uC/m and a radius of 10 cm. The kinetic energy of the charge when it is 4.5 cm from the center of the ring is determined by calculating the electric field along the axis of the ring and using the Work-Kinetic energy theorem. The charge will remain on the axis of the ring as the electric field in any point along the axis is parallel to the axis. "Electromagnetism" and "n" are not relevant to this problem.
SkyeAlen
New poster has been reminded to always show their work when starting schoolwork threads
Homework Statement
electromagnetism
Relevant Equations
n
A point charge of value q=8uC is released from rest at a point 1.5m away from the center of the axis of a ring with uniform charge density 3uC/m. The ring has a radius of 10 cm. What is the kinetic energy of this charge when it is 4.5 cm from the center of the charge ring, considering that it is only under the influence of interaction with this ring?

Per forum rules you must show some well formed attempt at solution of the problem before we are allowed to help you.
Nevertheless, this problem has two stages towards its solution
• Determine the electric field equation along the axis of the ring by calculating a so called "coulomb law " integral, that is consider the coulomb field that an infinitesimal part of the ring creates at a point ##r## along the axis of the ring, and then sum (integrate ) all these infinitesimal coulomb fields. This sub problem may have be solved as part of the theory of your textbook.
• Apply Work- Kinetic energy theorem to find the requested kinetic energy. The work done on the point charge is the work of the force of electric field on it. The point charge as it starts at a point on the axis of the ring, it will remain on the axis of the ring because if you do correctly the first part you ll find that the electric field direction in any point along the axis of the ring is parallel to the axis of the ring.

PhDeezNutz
You also need to understand that "electromagnetism" is not a statement of this problem or any problem for that matter. Also, "n" is not an equation, it's a letter of the alphabet. Please make an honest effort to help us help you.

Delta2 and berkeman

## What is the equation for calculating the kinetic energy of a charged particle near a charged ring?

The equation for calculating the kinetic energy of a charged particle near a charged ring is E = (1/2)mv2 + qV, where m is the mass of the particle, v is its velocity, q is its charge, and V is the electric potential at its position.

## How does the kinetic energy of a charged particle near a charged ring change as the particle moves closer to the ring?

The kinetic energy of a charged particle near a charged ring increases as the particle moves closer to the ring. This is because the electric potential at its position increases, resulting in a higher kinetic energy. Additionally, the particle's velocity may also increase as it moves closer to the ring, further increasing its kinetic energy.

## What is the relationship between the kinetic energy of a charged particle near a charged ring and the charge of the particle?

The kinetic energy of a charged particle near a charged ring is directly proportional to the charge of the particle. This means that as the charge of the particle increases, its kinetic energy also increases.

## How does the kinetic energy of a charged particle near a charged ring change as the ring's charge increases?

The kinetic energy of a charged particle near a charged ring increases as the ring's charge increases. This is because the electric potential at the particle's position increases, resulting in a higher kinetic energy. Additionally, the particle's velocity may also increase due to the increased electric field, further increasing its kinetic energy.

## Can the kinetic energy of a charged particle near a charged ring ever be negative?

No, the kinetic energy of a charged particle near a charged ring can never be negative. This is because kinetic energy is always a positive quantity and cannot be less than zero. However, the total energy of the particle (including its kinetic energy and potential energy) can be negative if the particle is in a region of high electric potential.

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