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Two equal positive point charges are sep...

Two equal positive point charges are separated by a distance 2a. A point test charge is located in a plane which is normal to the line joining these charges and midway between them.
(a) Calculate the radius r of the circle of symmetry in this plane for which the force on the test charge has a maximum value.
(b) What is the direction of this force, assuming a positive test charge ? [at `sqrt(2)`, radial and away from the center]

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