Three charges 2q, -q, -q are located at the vertices of an equilateral triangle. At the centre of the triangle Options: A . &nbspThe field is zero but potential is non-zero B . &nbspThe field is non-zero but potential is zero C . &nbspBoth field and potential are zero D . &nbspBoth field and potential are non-zero

Three charges 2q, -q, -q are located at the vertices of an equilateral triangle

Question

Three charges 2q, -q, -q are located at the vertices of an equilateral triangle. At the centre of the triangle

Options:

A . The field is zero but potential is non-zero

B . The field is non-zero but potential is zero

C . Both field and potential are zero

D . Both field and potential are non-zero

Answer: Option B
:
B
Obviously, from charge configuration, at the centre electric field is non-zero. Potential at the centre due to 2q charge is

V_{2 q} = \frac{2 q}{r}

and the potential due to – q charge is

V_{- q} = - \frac{q}{r}

(r = distance of centre)

∴

Total potential

V = V_{2 q} + V_{- q} + V_{- q} = 0

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