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Potential Energy In An Electric Field

#5. Potential Energy In An Electric Field

(i). Potential Energy Due To A Single Charge
The work done to bringing the charge from infinity to a particular point will stored as potential energy in that charge
Potential Energy Due To A Single Charge
The work done to bring a charge from infinity to point A is,
Potential Energy In An Electric Field
i.e the potential at a point due to external electric field is VA 
then the potential energy q at that point is W=P.E= q VA

 (ii). Potential Energy Of A System Of Two Charges

Potential Energy Of A System Of Two Charges
The potential energy of the system of charges is the total work done to bringing from infinity 
So, work done to bringing charge q1 is 
potential Energy Of A System Of Two Charges
Work done to bringing q2 is 
Therefore the potential energy of the system is work done at A + work done at B


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