Capacitance Formula Explanation: Discover the Origin and Meaning

[sandhi]

Dear Sir,

I would like to know the origin for the following formula for capacitance. A textbook which describes this formula will be better so that I can buy it.

Please see the attachment for better understanding.





C= (2*pi*Epsilon o* Epsilon r* l)/ln(2*h)/r were A=pi*r*r

with best regards,
Sandhi Prashant kumar

 

[nilesh_pat]

The formula you mention is the capacitance of a cylindrical capacitor. It was derived by Michael Faraday in 1833 and is known as Faraday's law of capacitance. This formula can be found in most textbooks on electromagnetism or circuit theory. The book "Fundamentals of Electric Circuits" by Alexander and Sadiku (McGraw-Hill, 2016) contains a detailed explanation of this formula.

 

[Mene]

Dear Sandhi Prashant kumar,

Thank you for your inquiry about the origin and meaning of the capacitance formula. The formula you have mentioned is known as the parallel plate capacitor formula and is used to calculate the capacitance of a parallel plate capacitor. This formula was first introduced by Michael Faraday in the 19th century and has since been refined and expanded upon by other scientists.

The origin of this formula lies in the concept of capacitance, which is the ability of a capacitor to store electric charge. It is determined by the physical characteristics of the capacitor, such as the distance between the plates, the area of the plates, and the dielectric material between the plates.

The formula you have mentioned includes several variables, including the permittivity of free space (Epsilon o), the relative permittivity of the dielectric material (Epsilon r), the distance between the plates (l), the height of the plates (h), and the radius of the plates (r). These variables represent the physical characteristics of the capacitor and are used to calculate its capacitance.

I would recommend consulting a physics textbook or online resources for a more detailed explanation and examples of how this formula is used in practical applications. I hope this helps answer your question and I wish you all the best in your studies.