ch.4 formulas

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School

University of Ottawa *

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Course

3106

Subject

Electrical Engineering

Date

Oct 30, 2023

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Pages

1

Uploaded by drabscholar

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Mathematical and Physical Models Maxwell’s Equations for Electrostatics Name Differential Form Integral Form Gauss’s law V:-D=p, +D-ds=Q S Kirchhoff’s law VXE=0 $HE-dl=0 c Electric Field Current density J=pmu Point charge E—R 47:;1(2 Poisson’s equation Viy = —% . I ¥ 4(R—R) Many point charges E=—) 5 —=0m Laplace’s equation ViV =0 4me = |[R—R;| !/ - é E-dl Volume distribution = —— / R/ Prav Resistance R= / ame Ju! R oE-ds 1 ds' S Surface distribution E= / R p;,z Boundary conditions Table 4-3 RE s 1 dl | /s ¢E-ds Line distribution E=, /1 R/ p; < Capacitance C==—— - / E-dl Infinite sheet of charge E =12 .3 [ RC relation RC= D D o Infinite line of charge E=—=% =f pe . 1 .p2 & & 2meyr Energy density We = 5EE ; : . q . Dipole E= Ine R (R2cos @ +Bsin ) Relation to V E=-VV
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