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Ryomega
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Homework Statement
An electric dipole is defined as two point charges separated by distance L.
Consider point P with coordinates (x,0).
A dipole along the x-axis is separated by distance a from the origin. q- is closer to point P
Find:
1) Electrostatic potential due to dipole at point P
2) Magnitude and direction of electric field E at point P in terms of dipole moment and distance x
Homework Equations
V = k[itex]\frac{q}{r}[/itex]
The Attempt at a Solution
1) Vtot = V+q + V-q
= kq([itex]\frac{1}{x+a}[/itex] - [itex]\frac{1}{x-a}[/itex])
=[itex]\frac{2kqa}{x^2}[/itex]
2) I know that taking the divergence of [itex]\frac{2kqa}{x^2}[/itex] will give a scalar. Is this divergence going to be [itex]\frac{d}{dx}[/itex]? How do I go about getting the magnitude and direction from there?
Thank you