Two charges –q and +q are located at points (0, 0, -a) and (0, 0, a), respectively.
What is the electrostatic potential at the points (0, 0, z) and (x, y, 0)?

Solution

Given,
two charges -q and +q are located at (0,0,-a) and (0,0,a) respectively.
We have to find electrostatic potential at (0,0,z) and (x,y,0) [see fig. given below].

Electrostatic potential at point P(0,0,z) when closer to charge +q is given by:

where p = q.(2a) is the dipole moment.

Electrostatic potential at P(0,0,z) when closer to charge -q is given by [see fig. below] :

So potential at point P (0, 0, ± z) is
$V = \pm \frac{1}{4 π ε_{0}} . \frac{p}{(z^{2} - a^{2})}$

Now, Electrostatic potential at point (x, y, 0 ) is

Therefore, Electrostatic potential at point (x,y,0) is equal to 0.

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Electrostatic Potential And Capacitance

Two charges –q and +q are located at points (0, 0, -a) and (0, 0, a), respectively.
What is the electrostatic potential at the points (0, 0, z) and (x, y, 0)?

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Electrostatic Potential And Capacitance

Two charges –q and +q are located at points (0, 0, -a) and (0, 0, a), respectively.What is the electrostatic potential at the points (0, 0, z) and (x, y, 0)?

Some More Questions From Electrostatic Potential and Capacitance Chapter

Mock Test Series

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Entrance Exams Preparation

Two charges –q and +q are located at points (0, 0, -a) and (0, 0, a), respectively.
What is the electrostatic potential at the points (0, 0, z) and (x, y, 0)?