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Lecture 19 Maxwell equations E: electric field intensity

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Presentation on theme: "Lecture 19 Maxwell equations E: electric field intensity"— Presentation transcript:

1 16.360 Lecture 19 Maxwell equations E: electric field intensity
D: electric flux intensity H: magnetic field intensity B: magnetic flux intensity : electrical permittivity; :magnetic permativity v: electric charge density per unit volume; J: current density per unit area. Electrostatics Magnetostatics

2 16.360 Lecture 19 Electrostatics Volume charge density
Surface charge density Line charge density

3 Lecture 19 Current density J

4 Lecture 19 Coulomb’s law

5 Lecture 19 Electric field due to a charge distribution

6 Lecture 19 Gauss’s law Gauss’s law

7 Lecture 19 Electrical scalar potential

8 16.360 Lecture 19 Electrical potential due to point charge
Electrical potential due to continuous distributions

9 16.360 Lecture 19 Electric field as a function of Electrical potential
Poison’s equation Poison’s equation Laplace’s equation

10 16.360 Lecture 19 Electrical properties of material conductor
dielectric semiconductor

11 16.360 Lecture 20 Conductors Electron drift velocity
Hole drift velocity Conducting current Point form of Ohm’s law

12 Lecture 20 Resistance General form

13 Lecture 20 Joule’s law General form

14 Lecture 20 Dielectrics Electrical field induced polarization

15 16.360 Lecture 20 Dielectrics P: electric polarization field
For homogeneous material: Electric susceptibility Relative permittivity: Dielectric breakdown

16 16.360 Lecture 20 Electric boundary condition
the tangential component is continuous across the boundary of two media.

17 16.360 Lecture 20 Electric boundary condition
the normal component of D changes, the amount of change is equal to the surface Charge density.

18 Lecture 20 Dielectric-Conductor boundary

19 Lecture 20 Conductor-Conductor boundary

20 Lecture 20 Capacitance

21 16.360 Lecture 20 Electrostatic Potential Energy Image Method
Any given charge above an infinite, perfect conducting plane is electrically equivalent to the combination of the give charge and it’s image with conducting plane removed.


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