Engineering Analysis I
Engineering Analysis I ECE 6382
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This 2 page Class Notes was uploaded by Karolann Wiegand on Saturday September 19, 2015. The Class Notes belongs to ECE 6382 at University of Houston taught by Staff in Fall. Since its upload, it has received 58 views. For similar materials see /class/208309/ece-6382-university-of-houston in Electrical Engineering at University of Houston.
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Date Created: 09/19/15
150156382 Hamewmk Na 12 Fax ymx review an m submit Amnmcement 1 Hamewmk Na 11 a Decemb 2 2 Team 2 m be hzldanManday December 9 CwuschaplJSIUJL12mdl7sec 17 5 andclassnmes Ram L202 Electxustan putenhal due m apumt charge near a melecmc sphere mm a m pmgm m ahamagmzamme un Wm yphzre dance 1 dank A R Rn 1 a1 72m we Elemamhc pm a m Wm mm mm mm 2 w m F ixv 6ns ram em Zagrmcas m ram Nate wwwwmmammhmm mmmmpmmmgem became39hzbamdarycm uans was 2 xrmwmvmmemm charges mamammammmmmmm Amymmmmummw 1 2 3 1quot 32 3 a Solve for An and B and the nal answer is n a 7181 82 An T d 810 1 827 aquot 2n 1 2 B n1 d 81n182n 1 Derive the above result 2 Prove that in the limit 81 82 then 9 d3 r9 qD r9 qD r9 1 2 0 WEIRD 3 Prove that in the limit that 82 gt 00 then 1659 q i ad ad 47239s1 R r 4 2 r2a 2ra cost9 2 d2 d 20 Hint use the generating function to revert the in nite series back to the algebraic expression Note that A0 is always equal to zero The above equation shows that in the case of a perfectly conducting sphere the electrostatic potential can be thought as due to three point charges The first term represents the actual charge q the second term is the image charge qad located on the zaXis azd distance from the center and the third term is the second image charge qad located at the center Reference Shen and Kong Applied Electromagnetism 3rd edition p 401 4 Problem 1762 5 Problem 1763 6 Design a rectangular steel water tank without top to hold 32 m3 of water and in such a way that the total area of the steel plate needed for the four walls and the bottom is minimized How much squaremeters of steel plate are needed
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