However, at distances much larger than
the separation of the two charges forming a dipole (r >> 2a), the fields
due to q and –q nearly cancel out The electric field due to a dipole
therefore falls off, at large distance, faster than like 1/r 2 (the dependence
on r of the field due to a single charge q) These qualitative ideas are
borne out by the explicit calculation as follows:
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