electric field from distributed charges Gauss's law

1. electric field from distributed charges Gauss's law

2. Distributed charge density volume charge density surface charge density linear charge density

3. r  dy y x symmetry

4. r  dy y x

5. Z dE a x y symmetry

6. 100 1 E 0.01 1 100 r

7. Z E a -a -a a x y finite size square sheet uniform charge density

8. Gauss 1777-1855

9. z r y x Gauss's law

10. law of Gauss requires symmetry electric field charge must be ENCLOSED within surface positive or negative charge direction of field

11. law of Gauss infinite charged sheet

12. a -a a z law of Gauss within a charged sheet

13. L  law of Gauss infinite charged line

14. He showed that brewery gas extinguished lighted wood chips. When the heavy gas, as he called it, was dissolved in water, he found that it had a very pleasant and tangy taste. He had invented soda water. Acting on a suggestion in a letter from Benjamin Franklin, he showed that hollow charged vessels contain no charge on the inside and deduced that the electric force law is inverse square. Priestly 1733-1804

15. concentric hollow spheres r < a ar< b br <c cr

16. 0 a b r coaxial cable r < a a r < b b r

18. “Lately I've been wondering where the slide rules went. Back in the 1960’s, slide rules were a prime accessory for those with a quantitative bent. They were suspended from belts long before calculators. In fact, they were the personal calculation engine of choice for almost three centuries.” Fermi

19. The principle of the slide rule was first enumerated by E. Gunter in 1623, and in 1671, S. Partridge constructed an instrument similar to the modern slide rule. The slide rule was an indispensable tool for scientists and engineers through the 1960’s.

20. In 50 years, the computer you are using to view this will be landfill, but your slide rule will just be nicely broken in.

21. It happens elsewhere other than under the Iowa Avenue bridge