Vacuum Capacitance: Value & Dependency?

[Apteronotus]

Does anyone know what the value of capacitance in a vacuum ($$C_{0}$$) is?
Would this be a constant or dependent on the particular capacitor?

Thanks

 

[uart]

The electrical permitivity of a vacuum is 8.85 pF/m.

The actual value of any capacitance depends on it's geometry

 

[astrokreng]

for your question. The value of capacitance in a vacuum, denoted as C0, is a constant and is determined by the physical dimensions and materials of the capacitor. It is known as the vacuum capacitance because it is the capacitance of a vacuum or empty space between the plates of a capacitor. This value is calculated using the formula C0 = ε0A/d, where ε0 is the permittivity of free space, A is the area of the capacitor plates, and d is the distance between the plates.

The value of C0 is not dependent on the particular capacitor, but it is dependent on the physical properties of the materials used to construct the capacitor. For example, a capacitor with larger plates or a smaller distance between the plates will have a higher C0 value.

It is important to note that while C0 is a constant in a vacuum, it may change when the capacitor is filled with a dielectric material, such as air or a solid material. In this case, the capacitance is no longer solely determined by the vacuum capacitance, but also by the dielectric constant of the material.

I hope this helps answer your question. Please let me know if you have any further inquiries.