1. Prof. David R. Jackson ECE Dept. Spring 2016 Notes 16 ECE 3318 Applied Electricity and Magnetism 1

2. Sharp Point Property A sharp point produces a strong electric field. b a qbqb qaqa Q [C] Determine how much charge goes to each sphere, and the electric field at the surface of each sphere. The system is charged with Q [ C ]. 2

3. Also, Solution: Sharp Point Property (cont.) b a qbqb qaqa Q [C] We ignore the effects of the wire on the charge distribution, and we ignore the interaction between the two spheres. 3

4. Hence, (A stronger electric field exists on the smaller sphere.) so Sharp Point Property (cont.) E rb E ra b a 4 Also,

5. Conclusion: Sharp Point Property (cont.) b a 5 If there is any charge on a metallic system, the electric field well be very high at sharp points or corners. Note: Grounding the metallic system will remove the charge that is built up on the system ( Q = 0 ).

6. 6 The field is strong as we approach a sharp bend or point on a practical conductor that has a charge on it. http://www.feynmanlectures.info/docroot/II_06.html Sharp Point Property (cont.)

7. The electric field near a sharp metal point may be much higher than the surrounding field. Sharp Point Property (cont.) V Sharp point + - 7

8. Lightning Rod - - - - - - - Lightning is attracted to the rod more than the rest of the building. Important to have it well grounded ! 8

9. 9 A lighting rod in action Lightning Rod (cont.)

10. 10 For larger structures, it is good to have more than one rod, or make them as high as possible.

11. 11 Examples of lightning rods on homes and barns Lightning Rod (cont.)

12. 12 A lightning rod on top of the “purple parking garage” at IAH airport Lightning Rod (cont.)

13. 13 A close-up of the grounding system Lightning Rod (cont.)

14. 14 Lighting rods are also on top of the light posts. George Bush Intercontinental Airport (IAH) Purple Parking Garage Lightning Rod (cont.)

15. 15 “Static discharge wicks” are used on aircraft to help bleed off any charge buildup due to friction with particles (ice, dust, etc.) the atmosphere. Static charge buildup on antennas (and subsequent corona) can cause interference with radio communications. Lightning Rod (cont.) A320 Aircraft http://en.wikipedia.org/wiki/Static_discharger

16. 16 The field approaches infinity as we approach the tip of a conducting wedge. Sharp Edge on Wedge On wedge surface: x y 00  0o0o -0.5 30 o -0.455 60 o -0.4 90 o -0.333

17. 17 The field approaches infinity as we approach the tip of a flat metal plate. Knife Edge

18. 18 Knife Edge (cont.) Field near the edge of a parallel-plate capacitor Nearly uniform field Weak field Very strong field http://www.feynmanlectures.info/docroot/II_06.html

19. 19 Actual physical flux plot Simulation: color scale shows field strength Knife Edge (cont.)

20. 20 The field and current approach infinity as we approach the edges of the line. Microstrip Line w h x y This causes increased conductor loss, compared with transmissions lines such as coaxial cables. It also lowers the power handling capability due to dielectric breakdown. w x y or