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

B

Explanation

Obviously, from charge configuration, at the centre electric field is non-zero. Potential at the centre due to
`2q "charge" V_(2q) = (2q)/(r )`
and potential due to `- q` chrage
`V_(-q) = - (q)/(r ) (r =` distance o fcentre point)
`:.` Total potential `V = V_(2q) + V_(-q) + V_(-q) = 0`