Theelectricpotentialduetoapointchargeqatadistance[math]r[/math]is[math]V=4πϵ01(rq).[/math]
Apointchargeof10−8Cisplacedattheorigin.
ThedistanceofpointAfromtheoriginis[math]rA=42+42+22=6.[/math]
⇒Theelectricpotentialat[math]A[/math]is[math]VA=4πϵ01(rAq).[/math]
ThedistanceofpointBfromtheoriginis[math]rB=12+12+22=3.[/math]
⇒Theelectricpotentialat[math]B[/math]is[math]VB=4πϵ01(rBq).[/math]
⇒Thepotentialdifferencebetweenpoints[math]A[/math]and[math]B[/math]is
VB−VA=4πϵ01(rAq)−4πϵ01(rBq)
=4πϵ01⋅q(rB1−rA1)=9×109×10−8×(31−91)=20V.