Total Electric Potential, when is it zero?

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SUMMARY

The total electric potential is zero at specific points along the line connecting two charges: +6.0µC at point A and -2.0µC at point B, which are 10.0 cm apart. To find these locations, one must set the electric potential equation equal to zero, considering distances from both charges. The potential can be calculated using the formula V = k * (q/r), where V is the electric potential, k is Coulomb's constant, q is the charge, and r is the distance from the charge. There are three potential regions to evaluate: between the charges and on either side of them.

PREREQUISITES
  • Understanding of electric potential and its mathematical representation.
  • Familiarity with Coulomb's law and the concept of point charges.
  • Basic algebra skills for solving equations.
  • Knowledge of the principle of superposition in electric fields.
NEXT STEPS
  • Study the derivation and application of the electric potential formula V = k * (q/r).
  • Explore the concept of electric field lines and their relation to electric potential.
  • Learn about the superposition principle in electrostatics.
  • Investigate the behavior of electric potential in systems with multiple charges.
USEFUL FOR

Students studying electrostatics, physics educators, and anyone interested in understanding electric potential in charge systems.

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Homework Statement


A charge of +6.0µC at point A is separated 10.0 cm from a charge of -2.0µC at point B. At what locations on the line that passes through the two charges will the total electric potential be 0?

The Attempt at a Solution

[(+) A] ------------------------------ [(-) B]I know that for them to cancel out each other, then they must be equal to each other. However, I don't know how to proceed to determine where the right location would be.
 
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Suppose you pick a point that's a distance "x" from A, and therefore 10 cm - x from B. Can you write out the electric potential at that point? If so, just set it to 0 and solve for x.
 
Yes, there are three main sections that the point may be (between the charges, or on either side) Try all of these possibilities and see if you can make one of them work.
 

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