การคำนวณหาศักย์ไฟฟ้าภายในตัวนำทรงกลมกลวงรัศมีภายใต้ศักย์ไฟฟ้าบนผิวตัวนำทรงกลมกลวง

Artit Hutem

Evaluation of the electric potential in hollow sphere of conductor radius under electric potential on surface hollow sphere of conductor

Authors

Artit Hutem Corresponding author

Keywords:

Hollow sphere of conductor, Electric potential, Induced charge density, Laplace equation

Abstract

This research work shows to calculate electric potential $gif.latex?V_{p}(r,\theta&space;)$ and inductive charge density $gif.latex?\sigma_{ic1}(\theta&space;)$ inside the hollow spherical conductor the radius $gif.latex?R$ under the electric potential Cosine and Sine on the surfaces of hollow spherical conductor 2 kinds. In this research, a technique for calculating the electric potential of a hollow spherical conductor was used using the Laplace equation in spherical coordinate system. In case 1, the electric potential $gif.latex?V_{p1}(r,\theta&space;)$ of a hollow spherical conductor is varies directly proportional to the constant coefficient parameter of $gif.latex?\alpha$ . In case 2, the electric potential $gif.latex?V_{p2}(r,\theta)$ of a hollow spherical conductor is directly proportional to the constant coefficient parameter of $gif.latex?\alpha$ but inversely proportional to the constant coefficient parameter of the radius $gif.latex?R$ . The induced charge density $gif.latex?\sigma_{ic1}(\theta)$ and $gif.latex?\sigma_{ic2}(\theta)$ of a hollow spherical conductor is directly proportional to the constant coefficient parameter of $gif.latex?\alpha$ and vibrate.

References

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Nutnicha Masoongnoen, Piyarat Moonsri, Treenuch Ellis, Sanit Suwanwong and Artit Hutem, (2021), Calculation of Electric Field from Continuous Charge Distribution on Linear Charge Density of Sine Function for Damped