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Chapter 24
Electric Potential

Electric Potential Energy
When an electric field accelerates a free positive charge q, it is given kinetic energy. The process is analogous to an object accelerated by a…
Electric Potential Energy in a Uniform Electric Field
When an electric field accelerates a free positive charge, it acquires kinetic energy. This process is analogous to an object being accelerated by a…
Electric Potential Energy of Two Point Charges
The electric potential energy of a test charge in a uniform eclectic field can be generalized to any electric field produced by static charge…
Electric Potential and Potential Difference
Suppose a positive test charge moves away from a positive static charge, then the Coulomb force does positive work, and its electric potential energy…
Finding Electric Potential From Electric Field
For a system of charges, it is easy to calculate the system's potential because potential is a scalar quantity. However, in some instances where…
Calculations of Electric Potential I
Consider a ring of radius R with a uniform charge density λ. What will the electric potential be at point M, which is located on the axis of the…
Calculations of Electric Potential II
An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world…
Equipotential Surfaces and Field Lines
Electric potential can be pictorially represented as a three-dimensional surface. On such a surface, the electric potential is constant everywhere.…
Equipotential Surfaces and Conductors
For a conductor in which all charges are at rest, the conductor's surface is equipotential. The electric field is always perpendicular to…
Determining Electric Field From Electric Potential
The electric field and electric potential are related to each other. If the electric field at various points in the region of interest is known, it…
Poisson's And Laplace's Equation
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The…
Van de Graaff Generator
Van de Graaff generators (or Van de Graaffs) are devices used to demonstrate high voltage due to static electricity that can also be used for…
Energy Associated With a Charge Distribution
The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a…
Electrostatic Boundary Conditions
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it…
Second Uniqueness Theorem
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second…
Generation and Control of Electrohydrodynamic Flows in Aqueous Electrolyte Solutions
To drive electrohydrodynamic (EHD) flows in aqueous solutions, the separation of cation and anion transport pathways is essential because a directed…
Simulation, Fabrication and Characterization of THz Metamaterial Absorbers
Metamaterials (MM), artificial materials engineered to have properties that may not be found in nature, have been widely explored since the first…
Spatial Separation of Molecular Conformers and Clusters
Gas-phase molecular physics and physical chemistry experiments commonly use supersonic expansions through pulsed valves for the production of cold…

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