# A point charge 'q' is located at one of the corners of a cube. Determine the electric flux through one of the three faces of the cube that are opposite to the corner where the char... A point charge 'q' is located at one of the corners of a cube. Determine the electric flux through one of the three faces of the cube that are opposite to the corner where the charge is placed.

#### Understand the Problem

The question is about calculating the electric flux through a specific face of a cube when a point charge 'q' is located at one of its corners. It involves understanding Gauss's law and the symmetry of electric fields around a charge. We will consider how the charge contributes to the flux through each face of the cube.

#### Answer

\( \frac{q}{24\epsilon_0} \)

The electric flux through one of the three opposite faces of the cube is ( \frac{q}{24\epsilon_0} ).

##### Answer for screen readers

The electric flux through one of the three opposite faces of the cube is ( \frac{q}{24\epsilon_0} ).

#### More Information

When a charge is placed at a cube's corner, it can be thought of as shared among eight cubes. Since the cube is symmetric, the total flux ( \frac{q}{\epsilon_0} ) divides equally among all eight cubes, leading to ( \frac{q}{8\epsilon_0} ) through each cube, and ( \frac{q}{24\epsilon_0} ) per opposite face.

#### Tips

A common mistake is to forget the symmetry of the problem and incorrectly calculate the shared charge across the divided cubes or misunderstanding the cube symmetry.

#### Sources

- A charge Q is kept the corner of a cube. Electric flux passing through ... - toppr.com
- Flux of $E$ through the shaded side - Physics Stack Exchange - physics.stackexchange.com