A uniform electric field is directed vertically upward. A student holds a flat, rectangular sheet of paper with area . To produce the largest possible negative electric flux through the paper, how should it be oriented?
- Held horizontally, with the paper's normal vector pointing upward.
- Held horizontally, with the paper's normal vector pointing downward. (correct answer)
- Held vertically, with its normal vector pointing horizontally.
- Held at a 45° angle to the vertical direction.
Explanation: Electric flux is given by . To get the largest negative value, must be -1, which occurs when . This means the electric field vector and the surface normal vector must be anti-parallel. Since the electric field points upward, the paper's normal vector must point downward. This corresponds to holding the paper horizontally.