Finding Zero Potential between Two Charges: Using the V=kQ/d Equation

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SUMMARY

The discussion centers on finding the point where the electric potential is zero between two charges using the equation V = kQ/d. The user initially confused potential with potential energy and work but clarified that potential energy per charge defines electric potential. The correct approach involves setting the sum of potentials from both charges equal to zero to determine the position where the forces cancel out. The user successfully transitioned to using the V = kQ/d equation for their calculations.

PREREQUISITES
  • Understanding of electric potential and its relationship to charge and distance.
  • Familiarity with the equation V = kQ/d for calculating electric potential.
  • Knowledge of the distinction between potential energy and work in conservative force fields.
  • Basic grasp of electric fields and forces acting between charges.
NEXT STEPS
  • Study the derivation and applications of the equation V = kQ/d in various configurations of charges.
  • Explore the concept of electric field strength and its relation to electric potential.
  • Learn about the superposition principle in electric fields and potentials.
  • Investigate the implications of potential energy in conservative force fields, specifically in electrostatics.
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand the principles of electric potential and its applications in electrostatics.

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Homework Statement


I'm supposed to look for where the potential is zero on the same line where two different charges lie.
I'm given the values of the two charges and the distance between them, I have to find where the potential is zero.

Homework Equations


The Attempt at a Solution


I'm thinking about using the equation
W = kQ1Q2 ( 1/d1 - 1/d2)
I tried plugging in for Q1 and Q2 and the given distance into either d1 or d2. Where's my mistake? Or I'm supposed to use another equation? Also, is the W the same as the required "potential?"
 
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Potential energy(and potential!) and work are not the same thing, but they're related in these cases when dealing with electric fields(and also gravitational fields)

More importantly you appear to have also confused potential and potential energy

Do you know the equation for potential? You can write an equation for both charges, add them and set them equal to 0 to solve for the required position

As far as the difference between PE and work in a conservative force field(like gravity or electric fields)if you change something's potential energy you have DONE work to it against its respective force field

The potential function is technically potential energy per charge in an electric field, which is a little abstract, and it may not seem obvious why it's useful, but look at this problem. You found where the potential is 0, so you know F=-grad(potential) so you've actually found where the force cancels out between the two of them, without having to screw around with the force equation(and also from that equation you know wherever the potential is constant the force also equals 0
 
Last edited:
Thank you for clearing that up. I'm using the V=kQ/d equation now. I'm actually working on the same problem as the one another user has asked about. But I got it now, thanks.
 

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