The net force on the charge placed at origin

Click For Summary
SUMMARY

The net force on a charge of 1μC placed at the origin due to an infinite series of charges along the x-axis can be calculated using Coulomb's Law, represented by the formula (1/4πε) * q1 * q2 / r². In this scenario, charges of 1μC, 2μC, 3μC, etc., are positioned at x=1, x=2, x=3, and so forth. The challenge arises in summing the forces from an infinite series of charges, which requires careful mathematical treatment to determine convergence and the resultant force.

PREREQUISITES
  • Understanding of Coulomb's Law and electrostatic forces
  • Knowledge of infinite series and convergence
  • Familiarity with basic calculus concepts
  • Ability to manipulate algebraic expressions involving limits
NEXT STEPS
  • Study the concept of infinite series and their convergence criteria
  • Learn about vector addition of forces in electrostatics
  • Explore advanced applications of Coulomb's Law in electrostatics
  • Investigate the use of calculus in solving problems involving limits and series
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, as well as educators and tutors assisting with homework in this area.

Jai Singh
Messages
1
Reaction score
0
Ques:
If infinite number of charges placed along x-axis .At x=1, 1μC , x=2, 2μC, x=3, 3μC so on. Find the net force on charge 1μC placed at origin.Formula used
(1/4πε)*q1*q2/r²

Solved from this formula but stuck in a series

 
Last edited:
Physics news on Phys.org

Similar threads

Induction confusion for induced charge inside a metal conductor
  • · Replies 23 ·
Replies
23
Views
1K
Electric field & force due to charged insulating hemispherical shells
  • · Replies 12 ·
Replies
12
Views
2K
At what point is Electric Potential zero
  • · Replies 2 ·
Replies
2
Views
2K
How to find distance between 2 charges, with no force given?
  • · Replies 2 ·
Replies
2
Views
2K
Where must a third charge be placed to get a net force of 0
  • · Replies 21 ·
Replies
21
Views
3K
Finding the Equilibrium Position for Three Charges
  • · Replies 4 ·
Replies
4
Views
2K
Finding the position of a middle charge to have Zero Net Force
  • · Replies 9 ·
Replies
9
Views
3K
Net force acting on positive charge
  • · Replies 1 ·
Replies
1
Views
2K
Net force acting on a charged particle ##+Q##
  • · Replies 9 ·
Replies
9
Views
3K
Coulomb's Law problem: Charged particles and the net electric field and force
  • · Replies 5 ·
Replies
5
Views
7K