Does electric potential exist without a test charge?

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SUMMARY

The discussion centers on the concept of electric potential and its definition in relation to test charges. It clarifies that electric potential is not dependent on the presence of a test charge but is defined as the potential energy per unit charge at a point in space. The potential at any point is the specific energy required to move a charge from infinity to that point, rather than the energy of the entire system of charges. This understanding resolves the confusion surrounding the necessity of a test charge for defining electric potential.

PREREQUISITES
  • Understanding of electric potential and potential energy concepts
  • Familiarity with Coulomb's law and charge interactions
  • Knowledge of basic electrostatics and field theory
  • Ability to apply mathematical formulas related to electric potential
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  • Study the mathematical definition of electric potential using the formula V = PE/q
  • Explore the relationship between electric fields and electric potential
  • Investigate the concept of electric potential in different charge configurations
  • Learn about the implications of electric potential in circuit theory and electrostatics
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This discussion is beneficial for physics students, electrical engineers, and educators seeking a deeper understanding of electric potential and its applications in electrostatics.

etotheipi
Usually for a charge Q we state that for each point in space there exists a potential, and we can calculate this, draw graphs of potential etc.

However, if electric potential energy is a property of a system of two charges, and potential is PE for a 1C test charge, then how can we even define a potential? Is it assumed that the potential at any point in space is the potential energy the system of the source charge and the test charge would have if the test charge were at that point?

Perhaps in a more general sense, is it more common to just talk about the potential energy of a particle in the field of the source particle as opposed to the two charge system?

Edit
I think I figured it out.. sorry for the null thread!
 
Last edited by a moderator:
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etotheipi said:
then how can we even define a potential?
By using the formula for the potential. There, defined.
etotheipi said:
Is it assumed that the potential at any point in space is the potential energy the system of the source charge and the test charge would have if the test charge were at that point?
It is not the energy of the overall system. It is the specific energy (energy per charge) needed to bring a charge from very far away to that point.
 

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