Show that when identical point charges are placed at the vertices of a regular -gon…

PHYSICS · Subjective · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

Show that when

n

identical point charges

+q

are placed at the vertices of a regular

n

-gon of radius

R

with one vertex left vacant, the magnitude of the net electric field at the centre is

E = \frac{1}{4\pi\varepsilon_0}\,\frac{q}{R^{2}},

and that it is directed towards the empty vertex.