Question

A point charge of −3μC is locatedat the center of a sphere with a radius r=5cm. What is the net electric flux through the surface?short answer pls asap

Answer 1

Given:

The total charge enclosed by the surface of the sphere, q=-3 μC

The radius of the sphere, r=5 cm=5×10⁻² m

To find:

The net electric flux through the surface of the sphere.

Explanation:

From Gauss's law, the net electric flux through the surface of the sphere is given by,

$\phi=\frac{Q}{\epsilon_0}$

Where ε₀ is the permittivity of free space.

On substituting the known values,

$\begin{gathered} \phi=-\frac{3\times10^{-6}}{8.85\times10^{-12}} \\ =339\times10^3\text{ Nm}^2\text{/C} \end{gathered}$

Final answer:

The net flux through the surface of the sphere is 339×10³ Nm²/C