Why is electric potential present inside a conductor?

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SUMMARY

The discussion centers on the concept of electric potential within a conductor, specifically addressing why electric potential remains constant inside a hollow conductor despite the presence of an electric field outside. It is established that the electrostatic charges on the surface of the conductor arrange themselves to ensure that the net electric field inside is zero. Consequently, the potential energy difference does not change when a positive charge is moved from the surface to inside the conductor, leading to the conclusion that the electric potential inside is equal to that on the surface.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Familiarity with the concept of electric potential and potential energy
  • Knowledge of conductors and their properties in electrostatic equilibrium
  • Basic grasp of charge distribution and its effects on electric fields
NEXT STEPS
  • Study the principles of electrostatics in conductors
  • Learn about Gauss's Law and its application to electric fields
  • Explore the concept of electric potential energy in detail
  • Investigate the behavior of electric fields in different geometries of conductors
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding the behavior of electric fields and potentials in conductors.

esha
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potential energy is the work done by an external force in taking a body from a point to another against a force. on the surface of a conductor the electrostatic charges arrange themselves in such a way that the net electric field is always zero. so if there isn't any force to act against why would electric potential be present over there?
 
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Consider a positive charge placed inside a hollow conductor. The charges inside the conductor arrange themselves such that they cancel out the field inside the conductor, but outside of the sphere the field must still exist, otherwise you'd have a positive charge whose field just ends inside a neutral object. Does that make sense?
 
so this means the work which was done on a positive charge to bring it doesn't increase when the charge is taken inside the conductor. hence potential also doesn't increase. therefore the potential isn't zero but same as on the surface of the conductor
 
Sorry, but I think it would help to clarify the exact setup of our little thought experiment prior to moving anything. That way we know exactly what we are dealing with. Do you have a particular example in mind?
 
sorry for making it vague.can u please tell me if i m wrong anywhere in my thought process? let's consider a conductor which has charges distributed on it. now due to these charges there is an electric field present on the exterior part of the conductor. let there be another test charge which is progressing towards it. as its progressing its potential energy difference is increasing. the reason being the force against which its moving is also increasing. when its on the surface of the conductor it becomes maximum. the moment it enters the conductor it doesn't increase neither decrease. we know that electric potential is the diffrence of potential energy between two points divided by the charge. in my case consider that one point is on infinity and the other is inside the conductor. we can clearly see that the difference doesn't change once the charge is inside the conductor so the potential doesn't change. therefore its constant.
 
Hmm. That's a good question and it's one that I don't think I can answer. Hopefully someone else will be able to. Sorry!
 
esha said:
sorry for making it vague.can u please tell me if i m wrong anywhere in my thought process? let's consider a conductor which has charges distributed on it. now due to these charges there is an electric field present on the exterior part of the conductor. let there be another test charge which is progressing towards it. as its progressing its potential energy difference is increasing. the reason being the force against which its moving is also increasing. when its on the surface of the conductor it becomes maximum. the moment it enters the conductor it doesn't increase neither decrease. we know that electric potential is the diffrence of potential energy between two points divided by the charge. in my case consider that one point is on infinity and the other is inside the conductor. we can clearly see that the difference doesn't change once the charge is inside the conductor so the potential doesn't change. therefore its constant.

Your thought process is absolutely right.
 
thanks for ur help
 

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