Electric Potential of 2 positive charges, and the speed

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SUMMARY

The discussion focuses on calculating the electric potential at a specific point due to two positive charges, each with a value of +10 µC, positioned at x = +4 m and x = -4 m. The electric potential at point A on the y-axis, located at (0, 5), is determined using the principle of superposition. Additionally, the speed of a particle with a charge of -4 µC and mass 2.2 x 10-4 kg, released from rest at point A, is calculated as it moves towards the origin. The solution requires understanding the definition of electric potential and applying relevant equations for point charges.

PREREQUISITES
  • Understanding of electric potential and its calculation for point charges
  • Familiarity with the principle of superposition in electrostatics
  • Knowledge of basic physics equations related to electric forces and motion
  • Ability to apply Gauss's Law in relevant contexts
NEXT STEPS
  • Review the equation for electric potential due to point charges
  • Study the principle of superposition in electrostatics
  • Learn how to apply conservation of energy to calculate speed from electric potential
  • Explore Gauss's Law and its applications in electrostatics
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Students studying electromagnetism, physics educators, and anyone interested in understanding electric potential and motion of charged particles in electric fields.

GenericPhy
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QUESTION 1

Homework Statement



Two positive charges, each with Q = +10 µC, are fixed to the x-axis at x = +a and x = -a, where a = 4 m.

(a) Find the electric potential at point A on the y-axis where (xA, yA) = (0, b) and b = 5 m. Take the zero of potential to be at infinity.

(b) A particle with charge q = -4 µC and mass m = 2.2 x 10-4 kg is released from rest at point A. Find its speed at the origin.

Homework Equations



Gauss's Law?

The Attempt at a Solution



I know I need to use superposition to calculate the potential at point A due the left-hand charge and add it to the potential at A due to the right-hand charge...
 
Last edited:
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Hello GenericPhy,
Welcome to Physics Forums!
GenericPhy said:

Homework Equations



Gauss's Law?
Gauss' law alone won't give you the solution to this problem. You need to look up the definition of electric potential. More-so, I'm betting that your textbook/coursework already has the equation for the electric potential of point charges already worked out for you.

The Attempt at a Solution



I know I need to use superposition to calculate the potential at point A due the left-hand charge and add it to the potential at A due to the right-hand charge...
Superposition. Yes, that is part of the correct approach. After you arrive at the correct equation for electrical potential, show us what you can do with it! :cool:
 

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