1. Concept: The total electric field between two opposite parallel plates is the additive sum of the uniform fields generated independently by each plate.
2. Formula: $$ E = E_{positive} + E_{negative} $$
3. Solution: - A single infinite charged plate generates a field of \( E_1 = \frac{\sigma}{2\epsilon_0} \).
- Between two oppositely charged plates, the field vectors point in the exact same direction, reinforcing each other.
- Total Field: \( E = \frac{\sigma}{2\epsilon_0} + \frac{\sigma}{2\epsilon_0} = \frac{2\sigma}{2\epsilon_0} = \frac{\sigma}{\epsilon_o} \).
4. Why other options are incorrect: Option A is the field strength for only a single sheet of charge, representing the region outside the plates or if one plate were removed. Options B and C are dimensionally inverted or incorrectly scaled.
Quality & Fidelity Assurance:
Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.