Question

A point charge of magnitude q is at the center of a cube with sides of length L

Part A)

What is the electric flux ? through each of the six faces of the cube?

Use ?0 for the permittivity of free space.

Part B)

What would be the flux ?1 through a face of the cube if its sides were of length L1 ?

Use ?0 for the permittivity of free space.

Answer 1

Answer:

Explanation:

Answer is in the attachment below:

Answer 2

Electric flux is the number of electric lines or force that intersect in a given area of electric field.

• A) The electric flux, through each of the six faces of the cube with side length L is $\dfrac{q}{6\varepsilon_o }$.

• B) The electric flux, through each of the six faces of the cube with side length L1 is $\dfrac{q}{6\varepsilon_o }$.

Given information

The magnitude of the charge of the point is $q$.

The side length of the cube is $L$.

What is electric flux?

Electric flux is the number of electric lines or force that intersect in a given area of electric field. It can be given as,

$\phi_E=\dfrac{q}{\varepsilon_o }$

Here, $q$ is the electric charge and $\varepsilon_o$ is the permissiveness of free space.

• A) The electric flux, through each of the six faces of the cube-

As the total number of sides through which electric flux line intersect is 6 in cube. Thus the number of electric flux line intersect is divided by six as,

$\phi_E=\dfrac{q}{6\varepsilon_o }$

Hence the electric flux, through each of the six faces of the cube with side length L is $\dfrac{q}{6\varepsilon_o }$.

• B) The flux through a face of the cube if its sides were of length L1-

As the electric field only depends on the number of sides of the solid and does not depends on the length of the cube. Thus the flux for cube with length L1,

$\phi_E=\dfrac{q}{6\varepsilon_o }$

Hence the electric flux, through each of the six faces of the cube with side length L1 is $\dfrac{q}{6\varepsilon_o }$.

Hence,

• A) The electric flux, through each of the six faces of the cube with side length L is $\dfrac{q}{6\varepsilon_o }$.

• B) The electric flux, through each of the six faces of the cube with side length L1 is $\dfrac{q}{6\varepsilon_o }$.

Learn more about the electric flux here;

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