EMLecture13 - Lecture 13 Notes, 95.657 Electromagnetic...

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Lecture 13 Notes, 95.657 Electromagnetic Theory I, Fall 2011 Dr. Christopher S. Baird, UMass Lowell 1. Static Equations and Faraday's Law - The two fundamental equations of electrostatics are shown below. ∇⋅ E = total 0 Coulomb's Law in Differential Form - This is the statement that electric charges create diverging electric fields. (It is equivalent to the more common but less straight-forward form ∇⋅ D = .) ∇× E = 0 Irrotational Electric Fields when Static - This means that if everything is static, then the electric fields have no curl. - The two fundamental equations of magnetostatics are shown below: ∇⋅ B = 0 No Magnetic Monopoles - Just as electric charges give rise to diverging electric fields, magnetic charges would give rise to diverging magnetic fields. But there are no magnetic charges (no magnetic monopoles). So when the fields are static in time, there is no divergence to the magnetic fields. ∇× B
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This note was uploaded on 02/13/2012 for the course PHYSICS 95.657 taught by Professor Staff during the Fall '11 term at UMass Lowell.

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EMLecture13 - Lecture 13 Notes, 95.657 Electromagnetic...

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