# Kinetic Energy of a Charged Particle near a Charged Ring

• SkyeAlen

#### 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