Question

Which of the following statements about Gauss’ Law are correct. Choose all that apply. If the statement is not correct, provide a counter-example. Be brief! Conciseness is correlated with good understanding. [ ] If there is no charge inside a Gaussian surface, the electric field must be zero at points on that surface. [ ] The electric flux passing through a surface depends only on the charge enclosed, not on the size and shape of the surface. [ ] Gauss’ Law is only valid for symmetric charge distributions, such as a point charge, or spheres, cylinders, or planes of charge.

Answer 1

If there is no charge inside a Gaussian surface, the electric field must be zero at points on that surface.

The electric flux passing through a surface depends only on the charge enclosed, not on the size and shape of the surface.

Step-by-step explanation:

Gauss’ Law:

It states that the total electric flux is the ratio of total charged enclosed to the permittivity. So we can say that

`\phi =(Q)/(\varepsilon _o)`

If the charge enclosed by surface is zero then total electric flux will be zero.

Q=0

`\phi =(0)/(\varepsilon _o)`

`\phi =0`

Gauss’ Law is valid for all closed surface and does not depends on the shape and size of surface.It means that shape of the closed surface maybe symmetric or asymmetric.

If there is no charge inside a Gaussian surface, the electric field must be zero at points on that surface.

The electric flux passing through a surface depends only on the charge enclosed, not on the size and shape of the surface.