Question

A point charge q is at the point x = 0, y = 0, z = 0. An imaginary hemispherical surface is made by starting with a spherical surface of radius R centered on the point x = 0, y = 0, z = 0 and cutting off the half in the region z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if q = 5.00 nC and R = 0.100 m.

Answer 1

Answer:

$282.5 N.m^2/C$

Explanation:

Use the Coulomb's law. According to it, the flux through entire sphere would be

$\phi = \frac{q}{\epsilon_o}$

where, q is the total charge enclosed in the sphere and $\epsilon_o$ is the absolute permittivity.

Thus, the flux through the hemisphere would be half of it i.e.

$\phi = \frac{q}{2\epsilon_o}\\\phi =\frac{5\times 01^{-9}}{2\times 8.85\times10^{-12}}\\\phi =282.5 N.m^2/C$