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22.9.1. A single, positive test charge is brought near a dipole. Under what circumstances will the...

22.9.1. A single, positive test charge is brought near a dipole. Under what circumstances will the force exerted on the test charge by the dipole be given by ?

a) the test charge is a much greater charge than that of the dipole b) the test charge is a much smaller charge than that of the dipole c) the test charge is very far from the dipole compared to the distance between the dipole charges d) the test charge on a line that passes through the dipole axis e) the test charge on a line is perpendicular to the dipole axis

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Answer #1

The charge of single positive test charge is q=+e and dipole charges are +e and -e. the dipole is separated from single positive charge by a distance z.

Force acting on the test charge is

-pq

(where p is the dipole moment , P de ( d is the distance between the charges of dipole))

The force is given by above expression when the test charge very far from the dipole on the axis.

as 之》d

Answer is c) the test charge is very far from the dipole compared to the distance between the dipole charges

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