One of the materials listed below is to be placed between two indenticle metal sheets, with no air gap, to form a parallel-plate capacititance. Which produces the greates capacitance?
A) material of thickness 0.1 mm and dielectric constant 2
B) material of thickness 0.2 mm and dielectric constant 3
C) material of thickness 0.3 mm and dielectric constant 2
D) material of thickness 0.4 mm and dielectric constant 8
E) material of thickness 0.5 mm and dielectric constant 11

Question

Quizplus · Accepted Answer

The capacitance of a parallel-plate capacitor is given by the formula C = εA/d, where ε is the permittivity of the material between the plates, A is the area of the plates, and d is the distance between the plates. The capacitance is directly proportional to the permittivity and the area, and inversely proportional to the distance between the plates. Therefore, the material with the highest dielectric constant and thickest thickness will produce the greatest capacitance. Choice E has the highest dielectric constant (11) and thickness (0.5 mm), and will therefore produce the greatest capacitance.

One of the Materials Listed Below Is to Be Placed