Three charges Q, Q, and -2Q are located ...

Three charges `Q, Q, and -2Q` are located on the vertices of an equilateral triangle of side `a`. Find the dipole moment of the combination (Fig. 24-38).

Text Solution

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In the situation shown in Fig. 24-39, we can divide the charge `-2Q` into two parts: `-Q and -Q`. This makes two dipoles of moment` Qa` at an angle of 60° to each other.
Calculations: As can be easily seen their resultant should be in the y direction.
`overset(to) (p) = 2 Q a cos 30^(@) overset(^)(j) = sqrt3 Q a overset(^)(j)`

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