Over 6,458,000 live tutoring sessions served!
  • Home
  • How it works
  • About Us
  • Home
  • PhysicsPhysics IVElectrostatic Potential and Capacitance
Top

Potential due to a System of Charges

Potential at a point due to a system of charges

Potential at a point due to a system of charges is the sum of potentials due to individual charges

Consider a system of charges q1, q2, q3, …qn with positive vectors r1, r2, r3,…..rn relative to the origin P.

The potential V1 at P due to charge 'q1' is given by

Similarly, the potential at P due to charge 'q2' is

We know the potential at 'P' is the due to total charge configuration and is the algebraic sum of potentials due to individual charges (By superposition principle).

V = V1 + V2 + v3 + ….. + Vn

potential due to total charge configuration

From our previous chapter, we learnt that for a uniformly charged spherical shell, the electric field outside the shell is as if the entire charges are concentrated at the centre. Thus, the potential outside the shell is given by

potential outside the shell

where 'q' is the total charge on the shell and 'R' the radius. Electric field inside the shell is zero which implies potential is constant inside and equal to its value at the surface, which is learnt in the next topic.

Related Questions
Related Calculators
Elastic Potential Energy Calculator
Electrostatic Potential and Capacitance
Related Pages
  • Cartesian System and Relations
  • Co-ordinate System
  • Co-ordinate Systems
*AP and SAT are registered trademarks of the College Board.

About Us |  Contact Us |  Blog |  Homework Help |  Teaching Jobs |  Search Lessons |  Answers |  Calculators |  Worksheets

Copyright © 2010 - TutorVista.com, All rights reserved.