If the area of the plates of a parallel plate capacitor is tripled and the plate separation is halved, by what factor does the capacitance change?

Question

Quizplus · Accepted Answer

The capacitance formula for a parallel plate capacitor is C = εA/d, where A is the area of the plates, d is the separation between them, and ε is the permittivity of the material between the plates. If the area is tripled and the distance is halved, the capacitance becomes C' = ε(3A)/(0.5d) = 6εA/d. This is 6 times the original capacitance, so the capacitance increases by a factor of 6.

If the Area of the Plates of a Parallel Plate