Regardless of how many charged bodies there may be an a place of interest, and regardless of their shape or size, the potential at any point can be calculated from Poisson's or Laplace's equations.
The electric scalar potential field V(r) is useful for a number of reasons including the ability to conveniently compute potential differences and the ability to conveniently determine the electric f...The electric scalar potential field V(r) is useful for a number of reasons including the ability to conveniently compute potential differences and the ability to conveniently determine the electric field by taking the gradient. In this section, we develop an alternative approach to calculating V(r) that accommodates these boundary conditions, and facilitates the analysis of the scalar potential field. This alternative approach is based on Poisson’s Equation.
The electric scalar potential field V(r) is useful for a number of reasons including the ability to conveniently compute potential differences and the ability to conveniently determine the electric f...The electric scalar potential field V(r) is useful for a number of reasons including the ability to conveniently compute potential differences and the ability to conveniently determine the electric field by taking the gradient. In this section, we develop an alternative approach to calculating V(r) that accommodates these boundary conditions, and facilitates the analysis of the scalar potential field. This alternative approach is based on Poisson’s Equation.
