1. Concept: Capacitance describes a plate's ability to hold charge. A larger surface area allows more charges to gather without repelling each other. A tighter distance increases the attractive pull between opposite plates, allowing even more charge to hold.
2. Formula: $$ C = \frac{\epsilon_0 A}{d} $$
3. Solution: - If numerator Area (\( A \)) is increased, \( C \) increases.
- If denominator distance (\( d \)) is decreased, \( C \) also independently increases.
- Doing both simultaneously compounds the effect, resulting in a large guaranteed increase in total Capacitance.
4. Why other options are incorrect: Decreasing occurs if you do the exact opposite (decrease area, widen gap). Temperature generally has trivial to no effect on physical plate geometry.
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