If the area of the plates of a parallel-plate capacitor is doubled,the capacitance is
A)not changed.
B)doubled.
C)halved.
D)increased by a factor of 4.
E)decreased by a factor of 1/4.

Question

Quizplus · Accepted Answer

The capacitance of a parallel-plate capacitor is given by the equation C = εA/d, where ε is the permittivity of the medium between the plates, A is the area of each plate, and d is the distance between the plates. If the area of the plates is doubled, the capacitance of the capacitor will also double. This can be seen from the capacitance equation: C' = ε(2A)/d = 2(εA/d) = 2C, where C' is the new capacitance after doubling the plate area, and 2C is the original capacitance before doubling the plate area. Therefore, the answer is B) doubled.

If the Area of the Plates of a Parallel-Plate Capacitor