Magnitude and direction of the force on the electron

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SUMMARY

The discussion focuses on calculating the magnitude and direction of the force acting on an electron in a quadratic potential defined by V(x) = k(x - x0)^2, where k is 10 V/m² and x0 is 5 m. The force can be derived from the potential using the relation F = -dV/dx. At x = 0 m, the force is -20 N directed towards the right; at x = 5 m, the force is 0 N; and at x = 10 m, the force is +20 N directed towards the left. The participant struggled with applying the correct equations and was advised to reference the relationship between force and potential energy.

PREREQUISITES
  • Understanding of quadratic potential energy functions
  • Knowledge of the relationship between force and potential energy
  • Familiarity with calculus, specifically differentiation
  • Basic concepts of electrostatics, including Coulomb's Law
NEXT STEPS
  • Study the relationship between force and potential energy in physics
  • Learn how to differentiate potential energy functions to find force
  • Review examples of quadratic potentials and their applications
  • Explore the implications of force direction in electric fields
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Students in physics, particularly those studying electromagnetism and potential energy, as well as educators seeking to clarify concepts related to force and potential in electric fields.

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Homework Statement


An electron is moving in a quadratic potential of the form V(x)=k(x-x0)^2, where k=10V/m^2 and x0=5m. x is positive to the right and negative to the left. Find the Following

A. Find the magnitude and direction of the force on the electron at x = 0m

B. Find the magnitude and direction of the force on the electron at x = 5m

C. Find the magnitude and direction of the force on the electron at x = 10m


Homework Equations




The Attempt at a Solution



My attempt was to plug in k and x into the equation V(x) = k(x-x)^2 but I am not getting the right answers, where am I going wrong? Do I need to use the equation F=k(q1q2)/d^2?
 
Physics news on Phys.org
You need to find (in your textbook or class notes) the relation between force and potential.
 

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