- #1
Welcome to the PF.donkitano123 said:The general formula to calculate maximim electric, Emax in concetric cylinder is Emax= V/a ln (b/a).
But how does the formula differentiate if there are 3 inner cylindrical electrode?
View attachment 110125
Are you in university? What is the context of this question? Do you know anybody with access to electric field modeling software?donkitano123 said:Thanks for the reply
I only have FEMM 4.2 software.
Emax in concentric cylinder is the maximum energy that can be stored in the system when a dielectric material is placed between two concentric cylinders. It is also known as the maximum energy density or the maximum electric field intensity in the system.
Emax can be calculated using the formula Emax = (εr - 1) / (εr + 2) * E0, where εr is the relative permittivity of the dielectric material and E0 is the electric field intensity in free space. This formula is derived from the boundary conditions at the interface between the dielectric material and the cylinders.
The value of Emax is affected by the relative permittivity of the dielectric material, the radius of the inner and outer cylinders, and the distance between them. As the relative permittivity increases, Emax also increases. As the radius of the cylinders decreases or the distance between them increases, Emax decreases.
Emax is important because it determines the maximum amount of energy that can be stored in the system. This is crucial in applications such as capacitors, where high energy storage is desired. Emax also affects the breakdown voltage of the system, which is the maximum voltage that can be applied before the dielectric material breaks down.
Emax is used in the design and analysis of concentric cylinder systems, such as capacitors and high voltage transmission lines. It helps engineers determine the appropriate dimensions and materials to achieve the desired energy storage capacity and breakdown voltage. Emax also plays a role in the efficiency and performance of these systems.