Capacitance Comparison for Spherical Shells and Solid Spheres

In summary, the conversation discusses the concept of capacitance in a system consisting of two spherical shells or a solid sphere surrounded by a shell. The question is raised whether the capacitance would be the same in both cases, and it is argued that the inner solid sphere would act as a thin shell with the same radius. There is also a mention of an alternative method for calculating the capacitance.
  • #1
theneedtoknow
176
0
Would the capacitance of the system be the same if we had one spherical shell around another (radii a and b) , versus a solid sphere of radius a surrounded by shell of radius b? I mean...if the charge we add to the solid sphere distributes itself completely on the surface, isn't the inner solid sphere going to act exactly like a thin shell with the radius of the sphere?
 
Physics news on Phys.org
  • #2
Yes it is.
 
  • #3
Thank you :) And, is there another way to calculate the capacitance of such a system other than C=Q/V ?
 
  • #4
You can derive an expression for the capacitance. See
http://www.mwit.ac.th/~physicslab/hbase/electric/capsph.html
 

1. What is capacitance?

Capacitance is the ability of a system to store an electrical charge. It is measured in farads and represents the ratio of the stored charge to the applied voltage.

2. How is capacitance calculated?

The capacitance of a system can be calculated by dividing the charge stored (Q) by the applied voltage (V). This can also be represented as the ratio of the change in charge (ΔQ) to the change in voltage (ΔV).

3. What factors affect the capacitance of a system?

The capacitance of a system is affected by the distance between the conductors, the area of the conductors, and the type of material between the conductors. It is also affected by the type of dielectric material used between the conductors.

4. How does a capacitor store energy?

A capacitor stores energy by accumulating charge on its conductive plates. When a voltage is applied, electrons are pushed onto one plate, creating a negative charge, while the other plate becomes positively charged. This creates an electric field between the plates, which stores the energy.

5. What is the relationship between capacitance and frequency?

The capacitance of a system is inversely proportional to the frequency of the applied voltage. This means that as the frequency increases, the capacitance decreases and vice versa. This is because at higher frequencies, the charge does not have enough time to accumulate on the plates, resulting in a lower capacitance value.

Similar threads

  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
2K
Replies
4
Views
360
  • Introductory Physics Homework Help
Replies
19
Views
3K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
3K
  • Introductory Physics Homework Help
Replies
8
Views
2K
Back
Top