Question

A point charge +q is placed precisely at the center of one of the faces of a perfectly symmetrical cube. What is the total electric flux passing through the cube?

• A. q/6\(\epsilon_0\)
• B. q/2\(\epsilon_0\)
• C. q/\(\epsilon_0\)
• D. q/3\(\epsilon_0\)

Hint:

Remember common symmetric charge placements for flux through a cube:
- Charge at center: \( q/\epsilon_0 \)
- Charge at center of a face: \( q/2\epsilon_0 \)
- Charge at midpoint of an edge: \( q/4\epsilon_0 \)
- Charge at a corner/vertex: \( q/8\epsilon_0 \)
These are derived by finding how many identical cubes are needed to symmetrically enclose the charge.

Answer 1

The Correct Option is B