Q: A cylinder of radius R and L is placed in the uniform electric field E parallel to the cylinder axis. The total flux from the two flat surfaces of the cylinder is given by

(a) 2πR^{2}E

(b) πR^{2}/E

(c) (πR^{2}-πR)/E

(d) zero

Ans: (d)

Sol:

$ \phi = – E. \pi R^2 + E.\pi R^2 $