Capacitance between Parallel and Coaxial Circular Disks Calculator

Capacitance between parallel and coaxial circular disks is a fundamental topic within electromagnetism, a branch of Physics. This principle pertains to how much electric charge is stored in a system under the influence of an electric potential. In this tutorial, we delve into the formula for capacitance, its creator, its applications, key contributors to the field, and interesting facts.

Capacitance between Parallel and Coaxial Circular Disks Calculator Calculator
Permittivity of Free Space (Îµ_o)
Relative Permittivity (Îµ_r)
Radius

Capacitance between Parallel and Coaxial Circular Disks Calculator Results
Capacitance of Circular = F

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Formula

The formula for calculating capacitance (C) between two parallel and coaxial circular disks with radius (r) and distance (d) apart is as follows:

C = 2πε₀ (r/d)

Where:

C: is the Capacitance measured in Farads (F)
π: is the mathematical constant Pi
ε₀: is the Permittivity of free space (~8.854 x 10^-12 F/m)
r: is the Radius of the disks in meters (m)
d: is the Distance between the disks in meters (m)

Who Wrote/Refined the Formula

James Clerk Maxwell, a Scottish scientist in the 19th century, formulated the fundamental equations of electromagnetism. The formula for capacitance is derived from these equations, known as Maxwell's equations. Capacitance itself is a concept that dates back to the 18th century with the invention of the Leyden jar, an early type of capacitor, by Pieter van Musschenbroek.

Real Life Application

This formula is widely applied in the field of electronics and telecommunications. One primary application is in the design of capacitors used in various electronic devices like radios, televisions, and computers. Capacitors store electric charge and release it when needed, a key function in many circuits. Furthermore, the formula is crucial in the development and operation of coaxial cables used for data and voice transmission in telecommunications.

Key Individuals in the Discipline

Pieter van Musschenbroek, a Dutch scientist, is a key figure in the field of capacitance. He invented the Leyden jar, an early type of capacitor. However, James Clerk Maxwell significantly contributed to the understanding of electromagnetic fields, including capacitance. His formulation of Maxwell's equations in the mid-19th century forms the basis for modern electromagnetism.

Interesting Facts

The understanding of capacitance and the development of capacitors has significantly advanced technology, from enabling radio broadcasts to the miniaturization of electronics that led to modern computers and smartphones.
Coaxial cables, designed using the principles of capacitance, have been integral to the establishment and evolution of modern telecommunication networks.
While the Leyden jar, the first capacitor, is a far cry from modern capacitors, it paved the way for this essential component in virtually all electronic devices today.

Conclusion

Understanding the capacitance between parallel and coaxial circular disks is crucial to Physics, particularly in electromagnetism. The concept plays a vital role in technology and electronics, showcasing the importance of Physics in our everyday lives.

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