Infinite Objects: Seeking the Physics Behind the Math

  • Thread starter Thread starter cemtu
  • Start date Start date
  • Tags Tags
    Infinite Physics
Click For Summary
SUMMARY

The discussion centers on the physical implications of infinite objects, particularly in the context of electric fields generated by uniformly charged infinite plates. It is established that infinite objects are fundamentally unphysical, as they lead to undefined potential energy scenarios. Specifically, the potential energy of a particle in the electric field of an infinite charged plate can become infinite, resulting in unbounded kinetic energy for particles interacting with such plates. This highlights the impossibility of choosing a reference point at infinity for calculations involving infinite objects.

PREREQUISITES
  • Understanding of electric fields and potential energy concepts
  • Familiarity with the principles of electrostatics
  • Knowledge of charged particle dynamics
  • Basic grasp of mathematical limits and infinity in physics
NEXT STEPS
  • Research the concept of electric fields from finite charged plates
  • Explore the implications of potential energy in electrostatics
  • Study the limitations of mathematical models in physics
  • Investigate the physical interpretations of infinity in theoretical physics
USEFUL FOR

Students and educators in physics, particularly those studying electrostatics and the implications of theoretical models in real-world scenarios.

cemtu
Messages
99
Reaction score
7
Homework Statement
What is the physical meaning of not being able to choose the referance point at the infinity for calculating the E field of an infinite object(or shape)?
Relevant Equations
No equations are needed, only a clear and simple verbal explanation which explains the phenomenon is needed.
I know how the math does not allow us to chose the reference point at infinity for infinite objects but I need to understand the underlying physics reason, not math reason.
 
Physics news on Phys.org
cemtu said:
Homework Statement:: What is the physical meaning of not being able to choose the referance point at the infinity for calculating the E field of an infinite object(or shape)?
Homework Equations:: No equations are needed, only a clear and simple verbal explanation which explains the phenomenon is needed.

I know how the math does not allow us to chose the reference point at infinity for infinite objects but I need to understand the underlying physics reason, not math reason.

Infinite objects are fundamentally unphysical. You cannot have an infinite charged plate; only a relatively large one.

The potential energy of a particle in the field of a uniformly charged infinite plate may be infinite. If the plate and particle are like charged, then there is no limit to the kinetic energy gained by the particle as it is repelled with constant force indefinitely. And, if the particle and plate are oppositely charged, then there is no limit to the kinetic energy that the particle may have if it starts from far away. The potential energy "at infinity" would, therefore, be infinite. Which is to say undefined.
 
thank you but I did not understand your explanation.
 

Similar threads

  • · Replies 79 ·
3
Replies
79
Views
9K
Replies
18
Views
3K
Replies
1
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
4
Views
561
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K