A point charge is placed at the vertex of a cone of semi-vertical angle

PHYSICS · Subjective · AP · Physics C: Electricity and Magnetism · Electric Charges Fields and Gauss's Law · Electric Charges Fields and Gauss's Law

Problem

A point charge

q

is placed at the vertex of a cone of semi-vertical angle

\theta

. Show that the electric flux through the base of the cone is

\frac{q(1-\cos\theta)}{2\epsilon_0}