Electric Flux and Vector Fields

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12 Questions

What does the flux of a vector field measure?

The flow or penetration of the field vectors through a surface

For a uniform electric field normal to a surface of area A, what is the flux?

$A$

How is the electric field at any point on a sphere with charge at its center directed?

Radially outwards

What happens to the total electric flux leaving a closed surface when the charge enclosed by the surface increases?

The flux increases

How is the total electric flux leaving a closed surface related to the charge enclosed by that surface?

It is directly proportional

In terms of mathematics, how can Gauss's Law be expressed?

$ abla ullet E = rac{1}{ ext{epsilon-nought}} \rho$

What law does the passage explain is equivalent to Coulomb's Law?

Gauss's Law

When applying Gauss's Law to a sphere containing charge, what does it denote by 'q enclosed ε'?

Electric flux

What does Gauss's Law state when applied to a hollow sphere with charges only on the surface?

There is no electric field inside the sphere.

What is the total charge enclosed at any distance outside a hollow sphere with surface charges?

$rac{q}{4ε}$

What is the suggested method to prove Gauss's Law according to the passage?

Show that for each little cube, Gauss's Law follows from Coulomb's Law.

According to the passage, what happens to the electric field inside a hollow sphere with surface charges?

It becomes zero.

Learn about the concept of electric flux in relation to vector fields and its importance in physics. Understand how to calculate electric flux for different surfaces and fields. Join us to explore more physics concepts!

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