An electric dipole is defined as a positive charge q and a negative charge -q separated by a distance 2a. For the dipole, find the electric field E at P due to the dipole, where P is a distance y ≫ a from the origin.
Added by Julio O.
Step 1
First, we need to consider the electric field due to each charge separately. The electric field due to a point charge is given by Coulomb's law: E = kq/r^2, where k is Coulomb's constant, q is the charge, and r is the distance from the charge. Show more…
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An electric dipole consists of two electric charges of equal magnitude and opposite sign. If the charges are $ q $ and $ -q $ and are located at a distance $ d $ from each other, then the electric field $ E $ at the point $ P $ in the figure is $ E = \frac {q}{D^2} - \frac {q}{(D + d)^2} $ By expanding this expression for $ E $ as a series in powers of $ d/D, $ show that $ E $ is approximately proportional to $ 1/D^3 $ when $ P $ is far away from the dipole. $ \mid \longleftarrow D \longrightarrow \mid \leftarrow d \rightarrow \mid $
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