A metal ball of radius `R = 1.5 cm` has a charge `q = 10 muC`. Find the molecules of the vector fo the resultant force acting on a charge located on one half of the ball.

Explanation

The total force on the heminsphere is
`F = int_(0)^(pi//2) (sigma^(2))/(2 epsilon_(0)) . Cos theta R sin theta R d theta`
`= (2pi R^(2) sigma^(2))/(2 epsilon_(0)) int_(0)^(pi//2) cos theta sin theta d theta`
`= (2pi R^(2))/(2epsilon_(0)) xx (1)/(2) xx ((q)/(4pi R^(2)))^(2) = (q^(2))/(32 pi epsilon_(0) R)`.