Fall EEL 6022 Summer 2015 Test 2

z1 = a + if (center)radius #1 = |b|z2 = 6a ‐ i(8f) (center)radius #2 = |c|z = 6b + i(FallEEL 6022 Summer 2015 Test 2First Attempt counts 5%. Deadline: 11:59 pm June 29Nov 3Nov 5Second Attempt counts 65%. Deadline: 11:59 pm June 30Nov 7Third Attempt counts 30%. Deadline: 11:59 pm July 1If you miss a deadline, I credit your attempt with the score on your nextsubmission. If you don’t submit a third attempt, I credit the third attempt withthe previous submission.Submit your answers as FILE UPLOADS, not TEXT ENTRY.EEL6022_(703 orDownload IDCodesU15Test2.xls from FILES to get your abcdef data.799)F15Test2IDs.xlxsUsing Word doc or notepad or some other software that can be mouse­copied,prepare your solutions files in this manner. Type your answers into a column likethe format below.Only one carriage return at the end of each line.Space between the row number and the datum.Enclose complex answers in parentheses.Many formats are acceptable, but be careful if you’re using "e" and "i";3 + 4e03i is acceptable, but 3 + 4ie03 is not.For example1. a 1. 62. b 2. ­83. c 3. 44. d 4. ­25. e 5. 116. f 6. ­37. Answer to #1 7. 0.5665658. Answer to #2 8. 0.5665659. Answer to #3 9. 0.56656510. Answer to #4, α10. 0.56656511. Answer to #4, β11. 0.56656512. Answer to #4, γ12. 0.566565These answers are not correct. See last page for correctsample answers.Jun 19­11:23 AM1Problem 1z0 = 0 (center of circle)z1Green line is 0Vz­1­ = b + iazz2 = √(a2+b2)z2z0z = z1/2orCircle (rim) is 1VGreen line is 0VWhat is the voltage at z ?Accurate to ±0.00001z0z2zz1Circle (rim) is 1VJun 18­1:02 PM2Problem 2z1 = a + if (center)radius #1 = |b|z2 = 6a ­ i(8f) (center)radius #2 = |c|z = 6b + i(6c)Circle (rim) #1 at 1Vz1z2Circle (rim) #2 at 1000VWhat is the voltage at z ? Accurate to ±0.001Jun 18­1:20 PM3z1 = 0z1z2 = biz3 = ci (center)z2z = (b+c)iz3zOuter circle (rim) at 10VInner circle (rim) at 0VWhat is the voltage at z? (Accurate to ±0.001)Jun 18­1:33 PM4Problem 4x2x1x3z planew2w3w1w planeorw1 = c+id, w2 = b+ic, w3 = a+ifw1w3w2Jun 18­1:43 PM5Write down the form of the Schwarz­Christoffel integral mapping the redregion to the green region.f(z) = A ∫ζ=zζ=0 (ζ-x1)α(ζ-x2)β(ζ-x3)γ dζ+BWhat are the numerical values (±0.001) of the exponents α, β, and γ ?Here is a sample with correct answers.[Entry # / correct answer / points off]1.0000 7.000002.0000 -3.000003.0000 -6.000004.0000 2.000005.0000 4.000006.0000 7.000007.0000 0.371108.0000 519.624009.0000 8.8889010.0000 0.3858011.0000 -0.6771012.0000 0.29130Jun 21­8:19 AM6