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# ELECTRIC POTENTIAL DUE TO SYSTEM OF CHARGES

In this article we are going to derive an expression for electric potential due to system of charges. So keep reading…

### DERIVATION FOR THE EXPRESSION

Let’s consider are the point charges which are located at the distances respectively from a point P. See figure above. Now electric potential due to charge is-

Similarly, electric potential due to others charges.

By using superposition principle, we can obtain resultant value of electric potential at point P due to total charge configuration as algebraic sum of all the electric potential due to individuals charges.

Now taking common from above equation, then we get-

The net electric potential due to the multiple charges at the point P is equal to the algebraic sum of all the potential due to individuals charges. Mathematically it is expressed as-