I would love to get a hint to do it any other way. Something that is more basic, like by using just the starting definition of C=Q/ V.hutchphd said:
You've been at PF long enough to know that any schoolwork-type problem like this needs to be posted in the Schoolwork forums, and you need to show your best efforts to work on the problem. This thread is now closed. Please re-post in the Schoolwork forums. Thank you.Kashmir said:
Capacitance is a measure of the ability of a system to store electrical charge. It is defined as the ratio of the electric charge on each conductor to the potential difference between them.
The capacitance between two points on three concentric shells can be calculated using the following formula: C = (4πε0εr)/ln(b/a), where C is the capacitance, ε0 is the permittivity of free space, εr is the relative permittivity of the material between the shells, and a and b are the radii of the inner and outer shells, respectively.
Concentric shells are a set of three or more hollow, spherical shells that share a common center. In the context of capacitance, they are used to represent a system of conductors with varying radii.
The distance between the shells, represented by the difference between the radii a and b, is directly proportional to the capacitance. This means that as the distance between the shells increases, the capacitance decreases, and vice versa.
The capacitance between two points on three concentric shells is affected by the permittivity of the material between the shells, the radii of the shells, and the distance between them. Additionally, the shape and arrangement of the shells can also impact the capacitance.