Doubling the Plate Separation of a Cap Acitor

Question

Doubling the plate separation of a cap acitor
A) Doubles the capacitance
B) Halves the capacitance
C) Doesn't do anything to the capacitance.
D) Increases the capacitance by a factor or 4
E) Decreases the capacitance by a factor of 4

Accepted Answer

The capacitance $C$ of a parallel-plate capacitor is given by the formula $C = \frac{\varepsilon_0 A}{d}$, where $\varepsilon_0$ is the permittivity of free space, $A$ is the area of the plates, and $d$ is the separation between the plates. Doubling the plate separation $d$ will halve the capacitance, as capacitance is inversely proportional to the distance between the plates.