Q. Three small spheres each carrying a charge q are placed on the circumference of a circle of radius r to form an equilateral triangle. Find the electric and potential at the centre of the circle.

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Solution

Dear Student,

Because of symmetry the field by the charges q placed at every corner of equilateral triangle gets canceled out and we get net electric field at the centre zero.
For potential You can directly add the potential of all charges which will be equal to,

V=  $3 \times \frac{1}{4 π \in_{0}} \times \frac{q}{r}$ 

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