In a regular polygon of `n` sides, each corner is at a distance `r` from the centre. Identical charges each of magnitude `q` are placed at corners. The field at the centre is

Options

A. `(n)/(n-1)k(q)/(r^(2))`
B. `(n-1)/(n)k(q)/(r^(2))`
C. 0
D. `(n-1)k(q)/(r^(2))`

Answer

c

Explanation

If there were identical charges at each corner of the regular polygon, then the electric field at the centre would have been zero. We conclude from here that the field due to charge is equal in magnitude to the combined field of all the remaining charges.