Electric Potential: Velocity of a particle

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SUMMARY

The discussion centers on calculating the electric potential and the subsequent velocity of a charged particle influenced by two fixed positive charges. The electric potential at point A on the y-axis, located at (0, 5), is determined to be 40065.62617 V. Using the relationship between electric potential and kinetic energy, the next step involves calculating the speed of a particle with charge q = -6 µC and mass m = 1.5 x 10-4 kg as it moves to the origin, leveraging the equations of motion and energy conservation.

PREREQUISITES
  • Understanding of electric potential and its calculation using Coulomb's law
  • Familiarity with the concepts of kinetic energy and potential energy
  • Knowledge of basic calculus for evaluating integrals
  • Proficiency in applying Newton's second law (F = ma)
NEXT STEPS
  • Study the relationship between electric potential and kinetic energy in electrostatics
  • Learn about the conservation of energy in electric fields
  • Explore the concept of electric field strength and its calculation
  • Investigate the effects of different charge configurations on electric potential
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone involved in solving problems related to electric potential and particle dynamics in electric fields.

Bryon
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Homework Statement


Two positive charges, each with Q = +12 µC, are fixed to the x-axis at x = +a and x = -a, where a = 2 m.

Part A was not a poblem to find.
(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.

V(A) = 40065.62617V

(b) A particle with charge q = -6 µC and mass m = 1.5 x 10-4 kg is released from rest at point A. Find its speed at the origin.

V at the origin = ?


Homework Equations


F= ma

V(a)-V(b) = ∫E•dl = kQ/r

w = 0.5*m*(v1^2 - v0^2) = F•d

potential energy = kq1q2/r

3. The Attempt at a Solution

I think I have the equations I need for this problem. For this problem do I need to find a way to relate work to the potential energy?
 
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The electrical potential is specified in Volts. The Volt unit is equivalent to

[Volt] = \frac{[Joule]}{[Coulomb]}

So if your charged particle falls through a potential difference ∆V, it changes its kinetic energy accordingly.
 

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