Can You Calculate Capacitance for Each Half of a Cylinder Capacitor Separately?

[en.yokhai]

hey

i have 2 cylinders one with r1 the second with r2. r2>r1, an cylinder capacitor.

in the space between them i put 2 dielectric materials, the first in a half of the cylinder, vertical,and the second on the other side vertical.

like: first- 0-180 deg
second- 180-360 deg

now i want to calculate the capacity , can i calculate each half by itself and then add?

and threat each half as it's own capacitor?, and then as summing in parallel ...

thanks

 

[Hao]

That is exactly what you should do. The two halves effectively act as capacitors in parallel.

 

[nlightner]

Dear colleague,

Thank you for your question. To answer it, we need to first understand the concept of capacitance and how it is affected by the presence of dielectric materials. Capacitance is a measure of a capacitor's ability to store electric charge. It is directly proportional to the surface area of the conductors and inversely proportional to the distance between them.

In your scenario, you have two cylinders with different radii and two dielectric materials placed between them. To calculate the capacitance of this setup, we can use the formula C = εA/d, where ε is the permittivity of the dielectric material, A is the surface area of the conductors, and d is the distance between them.

Since you have two different dielectric materials, we can calculate the capacitance of each half of the cylinder separately and then add them together. Each half can be treated as its own capacitor because the presence of the dielectric material changes the effective distance between the conductors, thus affecting the overall capacitance.

However, when adding the capacitances of the two halves, we need to consider whether they are connected in series or parallel. If they are connected in series, the total capacitance will be less than the individual capacitances of each half. If they are connected in parallel, the total capacitance will be the sum of the individual capacitances.

In summary, yes, you can calculate the capacitance of each half separately and then add them together. However, you need to consider the connection type (series or parallel) of the two halves when adding them. I hope this helps. Let me know if you have any further questions.

Best,