cscott said:Why is the theoretical capacitance for a cylindrical capacitor (given here http://hyperphysics.phy-astr.gsu.edu/hbase/electric/capcyl.html) equal to the value measured on the outer shell with the inner grounded using a L-C meter?
I'm stuck.
A cylindrical capacitor is a type of capacitor that consists of two cylindrical conducting plates, separated by a dielectric material, and has a cylindrical shape. It is used to store and release electrical energy.
A cylindrical capacitor works by creating an electric field between its two conducting plates. When a voltage is applied, one plate becomes positively charged and the other becomes negatively charged, creating an electric potential difference between them. This potential difference allows the capacitor to store electrical energy.
One advantage of a cylindrical capacitor is its compact size, making it ideal for use in small electronic devices. It also has a high capacitance per unit volume, allowing it to store a large amount of energy in a small space. Additionally, cylindrical capacitors have low self-inductance, which allows them to charge and discharge quickly.
Cylindrical capacitors have a wide range of applications, including in electronic circuits, power supplies, and electric motors. They are also commonly used in medical devices, such as pacemakers, and in radio frequency filters and oscillators.
The capacitance of a cylindrical capacitor can be calculated using the formula C = (2πε₀l)/ln(b/a), where ε₀ is the permittivity of free space, l is the length of the capacitor, b is the radius of the outer conducting plate, and a is the radius of the inner conducting plate.