NNSE508_EM-L1-Electric_field

NNSE508_EM-L1-Electric_field - 1 Lecture contents Review:...

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NNSE 508 EM Lecture #1 1 Lecture contents Review: Few concepts from physics Electric field Coulomb law, Gauss law, Poisson equation, dipole, capacitor Conductors and isolators 1 Electric current Dielectric constant
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NNSE 508 EM Lecture #1 2 Overview of Electromagnetics Maxwell’s equations Fundamental laws of classical electromagnetics Special cases Electro- statics Magneto- statics Electro- dynamics Kirchoff’s Laws Statics: 0 t d  Geometric Optics Transmission Line Theory Circuits Wave Optics
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NNSE 508 EM Lecture #1 3 Few concepts from Electrostatics: Coulomb law • Charge – Charges interact – Quantized e = 1.602x10 -19 C – Conserved {material dielectric constant e will be discussed later, for now e =1 for vacuum} • Electric Field from a charge – force that would act on a charge q – Linear field – Charge motion in the field: Coulomb’s law: electric force 12 2 qq F r   2 0 1 4 F SI r e e 72 12 0 22 10 8.85 10 4 FC c m Nm e      2 0 1 4 F q V N Er q r m C Field line map of pair of + and - charges 2 2 d x F q E dt m m 
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NNSE 508 EM Lecture #1 4 Few concepts from Electrostatics: Gauss’ law Gauss’ law Note: Coulomb law can be deduced from Gauss law and symmetry considerations Using divergence theorem (also known as Gauss’ theorem in mathematics) Can derive Gauss’ law in in differential form or more accurately: In dielectrics, it is useful to introduce electric displacement D(r):   0 Q E n dS ee  Integration over the closed surface 0 divE E      VS divAdV A n ds    0 ( ) ( ) ( ) div r E r r e e   ( ) ( ) div D r r the “del” or “nabla” operator
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NNSE 508 EM Lecture #1 5 Few concepts from Electrostatics: Potential Potential – Change in potential energy equals to work done by the electric field over a charge (electric field is conservative) – If zero potential at infinity: – Or in differential form: Poisson equation In a medium with no charge density Laplace’s equation 2 2 1 1 21 P P P P F dl UW E dl q q q        P E dl   E   2 0 ee      0  ( ) 0 r
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NNSE 508 EM Lecture #1 6
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This note was uploaded on 11/08/2011 for the course NNSE 508 taught by Professor Sergeoktyabrsky during the Spring '11 term at SUNY Albany.

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NNSE508_EM-L1-Electric_field - 1 Lecture contents Review:...

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