Consider two air-filled parallel-plate capacitors with circular plates. Capacitor 1 has a distance between plates d and plate radius R. Capacitor 2 has a distance between plates 2d and plate radius R/2.

If the capacitance of capacitor 1 is C, then the capacitance of capacitor 2 is?

Question

Physics

Bridget Finley

Today, 16:22

Consider two air-filled parallel-plate capacitors with circular plates. Capacitor 1 has a distance between plates d and plate radius R. Capacitor 2 has a distance between plates 2d and plate radius R/2.

If the capacitance of capacitor 1 is C, then the capacitance of capacitor 2 is?

+3

Answers (1)

Know the Answer?

Moshe Rasmussen · Answer 1

1/8 x C

Explanation:

The capacitance of parallel plate capacitor

= ε₀ A / d where A is area of plate and d is distance between plate.

for capacitor 1

C = ε₀ A / d

For capacitor 2

radius = R/2

Area = A / 4

Capacitance

= ε₀ (A/4) x (1 / 2d)

= (1 / 8) x (ε₀ A / d)

= 1/8 x C

Consider two air-filled parallel-plate capacitors with circular plates. Capacitor 1 has a distance between plates d and plate radius R. Capacitor 2 has a distance between plates 2d and plate radius R/2.If the capacitance of capacitor 1 is C, then the capacitance of capacitor 2 is?

Consider two air-filled parallel-plate capacitors with circular plates. Capacitor 1 has a distance between plates d and plate radius R. Capacitor 2 has a distance between plates 2d and plate radius R/2.

If the capacitance of capacitor 1 is C, then the capacitance of capacitor 2 is?