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A charge is located at and a charge is located at . Thus the separation between the two charges is .

The total electric field on the axis can be written as

(a) What is the direction of the total electric field at any point on the axis where ?

(b)What is as a function of for ? Express your answer in terms of, if necessary, , , and the constant (if needed, enter pi for , epsilon_0 for ).


(c) Consider now the limit where , so that

Express, in this limit, in terms of, if necessary, , and . The quantity is called the dipole moment.


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