Electric Potential Difference Created by Point Charges

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SUMMARY

The discussion focuses on calculating the electric potential difference at a point P due to four point charges, each with a value of 2.0 µC, positioned at specific distances. The formula used is V = kq / r, where k is the Coulomb's constant. The user initially calculated the potentials for the charges but incorrectly assumed they could be summed directly. The correct approach involves recognizing that the potentials from charges at different distances must be calculated separately and then combined, particularly noting that the positive and negative charges will influence the total potential differently due to their respective distances from point P.

PREREQUISITES
  • Understanding of electric potential and point charges
  • Familiarity with the formula V = kq / r
  • Knowledge of Coulomb's constant (k = 8.99 x 10^9 N m²/C²)
  • Concept of superposition in electric fields
NEXT STEPS
  • Review the principles of electric potential and how it applies to multiple point charges
  • Study the concept of superposition in electrostatics
  • Practice problems involving electric potential from multiple charges
  • Learn about the effects of distance on electric potential in more complex charge configurations
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone studying electrostatics, particularly those working on problems involving electric potential from multiple point charges.

BoogieL80
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I'm working on the following problem:

The drawing shows four point charges. The value of q is 2.0 µC, and the distance d is 0.74 m. Find the total potential at the location P. Assume that the potential of a point charge is zero at infinity.

http://www.boomspeed.com/boogiel80/physics19.3.gif

I converted my charge to 2.0e-6. I used the formula V= kq / r and came up with values of -2.43e4 for each of the parallel charges and the same numbers, only positive, for each of the perpendicular charges. I assumed I was suppose to add all the charges and I got a total of 0 V. However, webassign is saying that is the incorrect answer. Any input would be nice.
 
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The charge to the top left is farther away than the others.
 
Alright I'm learning the same stuff right now so I should be able to help. The thing to remember is that these are not to be added as vectors. The positive charge q that is a distance d from point p will cancel out one of the -q charges that is a distance d from point p. So you will need to find the potential due to the positive charge q that is a distance 2d away from point p and the potential due to the -q charge that is a distance d from the point p. Add these together and you should get your answer.
 

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