Answer to Question #300136 in Physics for Ivo

Question

What is the electric flux through a sphere of radius 4m that contains a (a)

≠+50 hC and (b) -50 hC charge at its center?

Answer 1

The Gauss's law says

$${\rm flux}=\oint EdA=\frac{q}{\epsilon_0}$$

(a)

$${\rm flux}=\frac{50*10^{-9}\:\rm C}{8.85*10^{-12}\:\rm F/m}=5.65*10^3\:\rm N\cdot m^2\cdot C^{−1}$$

(b)

$${\rm flux}=\frac{-50*10^{-9}\:\rm C}{8.85*10^{-12}\:\rm F/m}=-5.65*10^3\:\rm N\cdot m^2\cdot C^{−1}$$