حيث (φ ''(r'' الجهد الكهربائي , و ''C'' المسار الذي نجري عليه عملية التكامل .
ومن تعريف الشحنة يمكن استنتاج الجهد الكهربائي لشحنة نقطية كدالة للمكان : ونجصل على :
Unfortunately, this definition has a caveat. From [[Maxwell's equations]], it is clear that {{nowrap|∇ × '''E'''}} is not always zero, and hence the scalar potential alone is insufficient to define the electric field exactly. As a result, one must add a correction factor, which is generally done by subtracting the time derivative of the '''A''' vector potential described below. Whenever the charges are quasistatic, however, this condition will be essentially met.
From the definition of charge, one can easily show that the electric potential of a point charge as a function of position is:
:<math>
السطر 119 ⟵ 115:
</math>
حيث: ''q'' شحنة الشحنة النقطية ,
where ''q'' is the point charge's charge, '''r''' is the position at which the potential is being determined, and '''r'''<sub>''i''</sub> is the position of each point charge. The potential for a continuous distribution of charge is:
: '''r''' المكان الذي تريد تعيين الجهد عنده ,
: '''r'''<sub>''i''</sub> موقع كل شحنة نقطية .
ويكون الجهد الكهربائي الناتج من شحنات موزعة توزيعا منتظما :
