Electromagnetic Notes Topics #5-#7
Electromagnetic Notes Topics #5-#7 ELCT 361
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This 10 page Class Notes was uploaded by Richard Martin on Friday February 12, 2016. The Class Notes belongs to ELCT 361 at University of South Carolina taught by Dr. Huray in Winter 2016. Since its upload, it has received 28 views. For similar materials see Electromagnetics in Electrical Engineering at University of South Carolina.
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Date Created: 02/12/16
Topic #5 Vector Transformation Wednesday, January 27, 2016 8:19 AM Useful Gradient Property Divergence Theorem Will need for exam on notecard Curl of a 2-D vector field Monday February 1, 2016 Stoke's Theorem Laplacian of a Scalar Field Helmholtz' Theorems • Closed surface at infinity Divergenceof a Vector Field DivergenceTheorem Topic #6 Gauss' Law, Electric Potential Monday, February 1, 2016 8:31 AM Electric field intensity Gauss' Law Wednesday February 3, 2016 Good Questions 1. How will a charge Q distribute itself on the perfectly conducting sphere shown in Figure 3.16a? It will reside on the surface only, electric field inside would be zero, no charge in it. Outside the electric field intensity goes to 1/R 2. How will a charge Q distribute itself on the perfectly conducting spherical shell shown in Figure 3.16b? It will reside on the outside surface, by Gauss Law - Gaussian surface between to shells, electric field inside is zero 3. If a charge Q is located at the center of a conducting spherical shell, as shown in Figure 3.16c, how does the magnitude of the electric field intensity behave with radius R? Negatively charged on inside shell (-Q) and positive charge on the outside (+Q), negative charged was pulled from the outside to leave it positive on surface. +Q -Q +Q = Gaussian surface nets +Q charge. If outside is grounded, outside becomes zero, electric field intensity on outside becomes zero 4. If a charge Q is located at the center of a conducting spherical shell and another charge -Q is added to the shell, how does the charge distribute itself and how does the electric field intensity vary with radius R? Charge on inside surface is -Q for net charge to be zero, this makes outside surface +Q but -Q on surface nets zero charge on surface Stokes Theorem on first exam Integral over surface Monday February 8, 2016 Topic #7 Multipole Electric Potential, Capacitance Monday, February 8, 20168:46 AM
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