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First Exam071105 - Department of Electrical and Computer...

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ﻢﻴﺣﺮﻟا ﻦﲪﺮﻟا ﷲا ﻢﺴﺑ Department of Electrical and Computer Engineering Module 0404215 Electromagnetic (I) First Exam 07/11/2005 Time allowed: 1 hour Q1 Using your own words, explain the following terms: Scalar quantity, Dot product, Orthogonal coordinate system, Divergence operator? (6 marks) Q2 Derive the cosine formula α cos 2 2 2 2 BC C B A + = ? (Hint: use the triangle shown in Figure 1 and the dot product ) (4 marks) Figure 1 Q3 Calculate the gradient of xyz y x M + = 2 2 and the directional derivative dl dM in the direction + + z y x 12 4 3 at (2,-1,0)? (4 marks) Q4 Determine the flux of a vector filed
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