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A parallel-plate capacitor has air between its plates. When the air is replaced by a dielectric material of dielectric constant $K$, the capacitance:

1. Decreases by a factor of $K$
2. Increases by a factor of $K$
3. Increases by a factor of $K^2$
4. Remains the same

Correct answer: Increases by a factor of $K$

Solution

For a parallel-plate capacitor completely filled with a dielectric, the capacitance becomes $C' = KC$. Thus, the capacitance increases by a factor of $K$.

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