Application of Residue Theorem to evaluate real integrations.pptx
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Unit iii introduction to flow & displacement measurement
1. Electrical Measurement-II
Prof. Yogesh K. Kirange M.E. (EMD)
Assistant Professor
Department of Electrical Engineering
R. C. Patel Institute Of Technology, Shirpur
2. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
2Subject: Electrical Measurement-II
3. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
3Subject: Electrical Measurement-II
4. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
4Subject: Electrical Measurement-II
5. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
5Subject: Electrical Measurement-II
6. π = πΆ π π΄ πππ. 2ππππ
π ππ β π π
π΄ π β π π
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
6Subject: Electrical Measurement-II
7. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
7Subject: Electrical Measurement-II
8. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
8Subject: Electrical Measurement-II
9. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
9Subject: Electrical Measurement-II
10. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
10Subject: Electrical Measurement-II
11. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
11Subject: Electrical Measurement-II
12. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
12Subject: Electrical Measurement-II
13. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
13Subject: Electrical Measurement-II
14. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
14Subject: Electrical Measurement-II
15. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
15Subject: Electrical Measurement-II
16. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
16Subject: Electrical Measurement-II
17. = π π£π + π
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
17Subject: Electrical Measurement-II
18. πΌ2
π = π π£π + π
β΄ π£ =
πΌ4
π 2
(π2 β π)
π
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
18Subject: Electrical Measurement-II
19. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
19Subject: Electrical Measurement-II
20. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
20Subject: Electrical Measurement-II
21. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
21Subject: Electrical Measurement-II
22. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
22Subject: Electrical Measurement-II
23. β
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
23Subject: Electrical Measurement-II
24. π£ =
πΏ
2πππ β
π‘ π’πβπ‘ πππ€π
π‘ π’π π‘ πππ€π
=
πΏ
2
π‘ π’π+π‘ πππ€π
π‘ π’π π‘ πππ€π
π£
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
24Subject: Electrical Measurement-II
25. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
25Subject: Electrical Measurement-II
26. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
26Subject: Electrical Measurement-II
27. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
27Subject: Electrical Measurement-II
28. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
28Subject: Electrical Measurement-II
29. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
29Subject: Electrical Measurement-II
31. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
31Subject: Electrical Measurement-II
32. β’
β’
β’
β’
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
32Subject: Electrical Measurement-II
33. β’
β’
β’
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
33Subject: Electrical Measurement-II
34. β’
β’
β’
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
34Subject: Electrical Measurement-II
35. ο§
ο§
ο§
ο§
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
35Subject: Electrical Measurement-II
36. π ππ’π‘ = π1 β π2
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
36Subject: Electrical Measurement-II
37. ο§
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
37Subject: Electrical Measurement-II
38. ο§
ο§
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
38Subject: Electrical Measurement-II
39. ο§
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
39Subject: Electrical Measurement-II
40. ο§
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
40Subject: Electrical Measurement-II
41. ο§
ο§
ο§
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
41Subject: Electrical Measurement-II
42. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
42Subject: Electrical Measurement-II
43. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
43Subject: Electrical Measurement-II
44. ο§
ο§
ο§
Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
44Subject: Electrical Measurement-II
45. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
45Subject: Electrical Measurement-II
46. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
46Subject: Electrical Measurement-II
47. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
47Subject: Electrical Measurement-II
48. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
48Subject: Electrical Measurement-II
49. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
49Subject: Electrical Measurement-II
50. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
50Subject: Electrical Measurement-II
51. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
51Subject: Electrical Measurement-II
52. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
52Subject: Electrical Measurement-II
53. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
53Subject: Electrical Measurement-II
54. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
54Subject: Electrical Measurement-II
55. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
55Subject: Electrical Measurement-II
56. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
56Subject: Electrical Measurement-II
57. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
57Subject: Electrical Measurement-II
58. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
58Subject: Electrical Measurement-II
59. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
59Subject: Electrical Measurement-II
60. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
60Subject: Electrical Measurement-II
61. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
61Subject: Electrical Measurement-II
62. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
62Subject: Electrical Measurement-II
63. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
63Subject: Electrical Measurement-II
64. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
64Subject: Electrical Measurement-II
65. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
65Subject: Electrical Measurement-II
66. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
66Subject: Electrical Measurement-II
67. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
67Subject: Electrical Measurement-II
68. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
68Subject: Electrical Measurement-II
69. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
69Subject: Electrical Measurement-II
70. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
70Subject: Electrical Measurement-II
71. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
71Subject: Electrical Measurement-II
72. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
72Subject: Electrical Measurement-II
73. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
73Subject: Electrical Measurement-II
74. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
74Subject: Electrical Measurement-II
75. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
75Subject: Electrical Measurement-II
76. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
76Subject: Electrical Measurement-II
77. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
77Subject: Electrical Measurement-II
78. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
78Subject: Electrical Measurement-II
C=π0 π π
π΄
π
πΉππππ
79. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
79Subject: Electrical Measurement-II
80. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
80Subject: Electrical Measurement-II
81. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
81Subject: Electrical Measurement-II
82. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
82Subject: Electrical Measurement-II
83. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
83Subject: Electrical Measurement-II
84. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
84Subject: Electrical Measurement-II
85. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
85Subject: Electrical Measurement-II
86. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
86Subject: Electrical Measurement-II
87. Prepared By: Prof. Y. K. Kirange , Assistant Professor Class : T. E Electrical, Sem-VI
Unit-III Flow and Displacement Measurement R. C. Patel Institute of Technology, Shirpur
87Subject: Electrical Measurement-II