Electrostatics Question 333

Question: Three charges $ 2q,-q,-q $ are located at the vertices of an equilateral triangle. At the centre of the triangle [MP PET 1985; J & K CET 2004]

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

Show Answer

Answer:

Correct Answer: B

Solution:

Obviously, from charge configuration, at the centre electric field is non-zero.

Potential at the centre due to 2q charge $ V _{2q}=\frac{2q}{r} $

and potential due to -q charge $ {V _{-q}}=-\frac{q}{r} $ (r = distance of centre point)

Total potential $ V=V _{2q}+{V _{-q}}+{V _{-q}}=0 $



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