Electric Potential: Calculating Midway Point

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SUMMARY

The electric potential at the midpoint between two charges, 7.0 microC and 3.0 microC, separated by 3.0 meters, can be calculated using the formula V = Kq/r. The total electric potential is the sum of the potentials from each charge, as electric potential is a scalar quantity. Therefore, the correct approach is to add the potentials from both charges rather than subtracting them, as confirmed in the discussion.

PREREQUISITES
  • Understanding of electric potential and its calculation
  • Familiarity with Coulomb's Law and the constant K
  • Knowledge of scalar versus vector quantities in physics
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the concept of electric potential and its properties in detail
  • Learn about Coulomb's Law and its applications in electrostatics
  • Explore the differences between scalar and vector quantities in physics
  • Practice problems involving the calculation of electric potential from multiple charges
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Students studying physics, particularly those focusing on electrostatics, as well as educators seeking to clarify concepts related to electric potential and charge interactions.

synergix
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Homework Statement



What is the electric potential at the point midway between charges of 7.0 microC and 3.0microC which are 3.0 m apart?

Homework Equations



Va=Va1+-Va2

V= Kq/r

The Attempt at a Solution


I know how to do the calculations I am just not sure about how to add the potentials I am pretty sure that since they are both positive and the charge is halfway between them then the electrical potential will be the difference between the two is that correct?
 
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synergix said:

Homework Statement



What is the electric potential at the point midway between charges of 7.0 microC and 3.0microC which are 3.0 m apart?

Homework Equations



Va=Va1+-Va2

V= Kq/r

The Attempt at a Solution


I know how to do the calculations I am just not sure about how to add the potentials I am pretty sure that since they are both positive and the charge is halfway between them then the electrical potential will be the difference between the two is that correct?

Your last sentence has a typo in it. You say "the charge is halfway between them" You meant to say "the point is halfway between them" There is a difference between the implications of these two phrases.

Putting that aside, since the electric potential is a scalar (not a vector) you simply add the two potentials as indicated in your first equation. If you were adding up the electric fields, where there is a directional property to take into account because the electric field is represented by a vector then you would end up with a subtraction (in this case).
 
ahh yes thank you.
 

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