How Do You Calculate the Resultant Force on a Charge in an Electric Field?

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SUMMARY

The discussion focuses on calculating the resultant force on charge q3, which is +1.08 x 10-9 C, located at x3 = 20.0 cm in an electric field created by two other charges: q1 = +2.10 x 10-9 C at x1 = 0 cm and q2 = -3.09 x 10-9 C at x2 = 10.0 cm. The key formula for the force between two charged particles is Coulomb's Law, expressed as F = k * |q1 * q2| / r², where k is Coulomb's constant. To find the resultant force on q3, one must calculate the individual forces exerted by q1 and q2 on q3 and then perform vector addition to combine these forces.

PREREQUISITES
  • Coulomb's Law for calculating forces between charged particles
  • Vector addition for combining forces
  • Understanding of electric charge and its units (Coulombs)
  • Basic knowledge of coordinate systems (x-axis positioning)
NEXT STEPS
  • Study Coulomb's Law in detail, including its applications and limitations
  • Learn about vector addition techniques in physics
  • Explore the concept of electric fields and their effects on charges
  • Investigate the principles of superposition in electrostatics
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, as well as educators and anyone seeking to understand the interactions between charged particles in an electric field.

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Homework Statement


Three charges, q1 = +2.10 10-9 C, q2 = -3.09 10-9 C, and q3 = +1.08 10-9 C, are located on the x-axis at x1 = 0, x2 = 10.0 cm and x3 = 20.0 cm. Find the resultant force on q3.


I am unsure of how to even attempt this problem...
 
Physics news on Phys.org
What is the formula for the force between 2 charged particles? Once you know the force 1 exerts on 3 and the force 2 exerts on 3, it is a simple matter of adding them up -- but remember that force is a vector, so you must use vector addition.
 

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