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  1. 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?

  2. 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.

  3. 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:

  4. Electrostatic charges and forces problems are presented along with detailed solutions. Problems Problem 1: What is the net force and its direction that the charges at the vertices A and C of the right triangle ABC exert on the charge in vertex B?

  5. ocw.mit.edu › eefb40eb4650f470bd44b7caf3ba9356_lecture1Lecture 1 - MIT OpenCourseWare

    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.

  6. In this chapter we shall solve a variety of boundary value problems using techniques which can be described as commonplace. 1 Method of Images This method is useful given su–ciently simple geometries. It is closely related to the Green’s function method and can be used to flnd Green’s functions for these same simple geometries.

  7. develop a better understanding of electrostatic fields using the form of problems and puzzles (summarized as “questions” hereafter) and answers, instead of tedious explanations in ordinary textbooks.

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