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
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