Question

show that electric field strength due to a dipole drops of more rapidly than that for a point charge.​

Answer 1

Answer:

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Answer 2

Explanation:

Imagine two charges, one +q and another −q, separated by 1m. As a system the net charge is 0, but clearly the field will not be 0 a distance of 10m away: the fields of each charge goes off like 1/r2 but only partially cancel out when you add them because of the distance between the charges; the partial cancellation will be quite direction dependent.

Imagine now you’re not 10m but 109m away. For large distances one can show the field of the dipole falls off like 1/r3 because the fields of the two charges almost cancel out but not completely. There is also: a directional effect, and the field strength depends on the ratio d/r of the distance d between the two charges to the distance r between the center of the charges and the point where you evaluate the field.

It depends basically if you consider the constituents into a single net point source or if you still consider them separately