Lecture+05+jan19

# Lecture+05+jan19 - Lecture#5 Applications of Gausss...

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Lecture #5: Applications of Gauss’s Law (Maxwell’s first equation) 0 ε inside GS E q A d E = = Φ Special Note: January 17, 2012 was the 306 th Birthday of Benjamin Franklin– his letters to the Royal Society around 1750 laid the foundation for understanding electric charge and protecting buildings from lightning damage. See article on Franklin’s lightning rod on ctools/resources/good reading

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Applications of Gauss’s Law Perfectly general* Consistent with Coulomb’s law Most useful when charge distribution is symmetric Spherical (or point) symmetry Cylindrical (or line) symmetry Plane (or slab) symmetry * Except for some minor issues in dealing with electric fields in dielectric materials. Taxes, title, dealer prep, and license fees extra. Offer void where prohibited by law. 0 ε inside GS E q A d E = = Φ
Spherically symmetric charge distributions

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Spherical Shell of Charge, q 0 charge point like just , 4 4 Sphere Gaussian Concentric 2 0 0 2 = = = = = = in out sph
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