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The field is a vector, it seems to contain much more information than the potential, which is scalar function. In reality, there are a lot of redundant information contained in the field, because the static electric field is a curl-free field. The choice of reference point in the potential is arbitrary.
Learn how to solve electrostatic problems. Overview of solution methods. Simple 1-D problems. Reduce Poisson’s equation to Laplace’s equation. Capacitance. The method of images. Overview. Illustrated below is a fairly general problem in electrostatics. Many practical problems are special cases of this general problem. Where to start?
engineering electrostatic problems are solved using FlexPDE. It is necessary for most students to not only study the examples given therein but to solve electrostatic problems independently. The text poses several problems that should be solved by the serious student.
What is electrostatics? DC behavior – no time variation or waves. No magnetic field or currents. Study of the behavior of stationary electric charges and the resulting electric fields. Electrostatics can be formulated in an integral form. This is elegant but usually not very useful except in special geometries with simple boundary conditions.
Examples of Electrostatic Problems with Dielectrics Problem: Find (electric flux density), (electric field intensity), and (polarization) for a metallic sphere (radius a, charge Q), coated by a dielec-tric (radius b), and the charge densities at the interfaces. Solution: Use Gauss’ Law In region 0, In region 1, a < r < b:
Field Theory was written to show how real engineering electrostatic problems are solved using FlexPDE. It is necessary for most students to not only study the examples given therein but to solve electrostatic problems independently.
For conductors at electrostatic equilibrium, the electric fields are strongest at regions along the surface where the object is most curved. The curvature of the surface can range from flat regions to that of being a blunt point, as shown below.
