Analysis of Electric Potential Distribution in a System without Charge Using Laplace's Equation Approach; Literature Review
Keywords:
electric potential distribution, Lalplace equation, numerical methods, analytical methodsAbstract
Electricity is a fundamental thing in everyday life. When talking about electricity, it cannot be separated from electric charge, electric field and electric potential. In this meta-analysis, the researcher discusses the analysis of the distribution of Electric Potential in a System without charge using the Laplace equation. This topic is related to the electrostatic system used in a static state. This Laplace equation can be solved by two methods, namely the analytical method and the numerical method. The analytical method includesCoulomb's Law, Newtonian Mechanics, basic concepts of electric potential. Which generally use the method of separate variables. However, this method is less effective for complex geometry due to the limitations of boundary conditions.
While numerical methods allow solutions for complex geometries. Numerical simulation is an approach that gives researchers the possibility to analyze the behavior of some phenomena that, due to their complexity, are beyond the scope of classical calculus. The principles of numerical methods include the Finite Element Method (FEM), the Finite Difference Method (FDM) and the Boundary Element Method (BEM). In this meta-analysis, researchers present various research results from previous researchers related to solving the Laplace equation using computer-based numerical methods and analytical methods that are used as comparative materials. All research results from the collected journals provide consistent and identical results, both with the FEM, FDM and even BEM methods.
This meta-analysis was conducted using the Systematic Literature Review approach with the PRISMA technique, where eight selected articles from various journals became the basis for the analysis. The results of the analysis showed that the numerical method provides more practical and accurate solutions than the analytical method, especially in complex geometries. This finding provides an important contribution to the development of electric potential distribution simulations and can be a guideline for researchers in developing further solutions using modern technology. Thus, this meta-analysis can be a basis for the application of numerical methods in the fields of physics and engineering that require in-depth analysis of electric potential distributions.
Electricity is a fundamental thing in everyday life. When talking about electricity, it cannot be separated from electric charge, electric field and electric potential. In this meta-analysis, the researcher discusses the analysis of the distribution of Electric Potential in a System without charge using the Laplace equation. This topic is related to the electrostatic system used in a static state. This Laplace equation can be solved by two methods, namely the analytical method and the numerical method. The analytical method includesCoulomb's Law, Newtonian Mechanics, basic concepts of electric potential. Which generally use the method of separate variables. However, this method is less effective for complex geometry due to the limitations of boundary conditions.
While numerical methods allow solutions for complex geometries. Numerical simulation is an approach that gives researchers the possibility to analyze the behavior of some phenomena that, due to their complexity, are beyond the scope of classical calculus. The principles of numerical methods include the Finite Element Method (FEM), the Finite Difference Method (FDM) and the Boundary Element Method (BEM). In this meta-analysis, researchers present various research results from previous researchers related to solving the Laplace equation using computer-based numerical methods and analytical methods that are used as comparative materials. All research results from the collected journals provide consistent and identical results, both with the FEM, FDM and even BEM methods.
This meta-analysis was conducted using the Systematic Literature Review approach with the PRISMA technique, where eight selected articles from various journals became the basis for the analysis. The results of the analysis showed that the numerical method provides more practical and accurate solutions than the analytical method, especially in complex geometries. This finding provides an important contribution to the development of electric potential distribution simulations and can be a guideline for researchers in developing further solutions using modern technology. Thus, this meta-analysis can be a basis for the application of numerical methods in the fields of physics and engineering that require in-depth analysis of electric potential distributions.
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