An electric dipole consists of a positive charge q and a negative charge -q. The distance between these two charges is a. Show that at distances r very far from the dipole (that is, r > a), the electric field falls as 1/r rather than 1/r2. Note that you may have to use the binomial expansion (1+x)" - 1 + nx + .. for small x.
An electric dipole consists of a positive charge q and a negative charge -q. The distance between these two charges is a. Show that at distances r very far from the dipole (that is, r > a), the electric field falls as 1/r rather than 1/r2. Note that you may have to use the binomial expansion (1+x)" - 1 + nx + .. for small x.
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![An electric dipole consists of a positive charge q and a negative charge -q. The distance between these two
charges is a. Show that at distances r very far from the dipole (that is, r > a), the electric field falls as 1/r rather
than 1/r2. Note that you may have to use the binomial expansion (1+ x)" = 1+ nx + · . for small x.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0412fd0-4bb1-46d3-b9e0-4499f1d5339e%2F673af34f-76eb-4aba-8f63-9f902b103829%2F85lisw_processed.png&w=3840&q=75)
Transcribed Image Text:An electric dipole consists of a positive charge q and a negative charge -q. The distance between these two
charges is a. Show that at distances r very far from the dipole (that is, r > a), the electric field falls as 1/r rather
than 1/r2. Note that you may have to use the binomial expansion (1+ x)" = 1+ nx + · . for small x.
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