ELEG320_HW1_F10 - at(3 π 0 5 Add the following two time...

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DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING UNIVERSITY OF DELAWARE ELEG 320 ELECTROMAGNETIC FIELD THEORY I HOMEWORK #1 – DUE SEPTEMBER 9, 2010 1. If you have two vectors, g = 9G ± + 2² ± − 5³u , and ´ = −3G ± + 6² ± + 4³u , find a unit vector c that is perpendicular to the plane formed by the two vectors A and B . 2. Find a constant a for the vector µ = ¶G + 7³·G ± + ¶−² + 3G·² ± + ¶G − ¸³·³u , so that ∇ ∙ ¹ = 0 3. Find a,b,c such that 0 = × W for z y cx y bz x x ay z W ˆ ) 1 6 4 ( ˆ ) 3 4 ( ˆ ) 2 8 ( + + + + + - = r 4. Given the vector field A = 22 cos θ ˆ θ in spherical coordinates, find ∇× A
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Unformatted text preview: at (3, π , 0). 5. Add the following two time varying functions, 7 cos( ω t) and 12 sin ( ω t – 45 o ). (Hint use phasors) 6. Convert the vector ¹ = 3G ± + 4² ± + 5³u from Cartesian to spherical coordinates. 7. Chapter 3, Problem 3.5 (all parts) . 8. Chapter 3, Problem 3.16. 9. Chapter 3, Problem 3.36 a,b,c 6th Edition (3.32 5th Edition). 10. Chapter 3 Problem 3.46 6th. Edition (3.39 5th Edition). 11. Chapter 3 Problem 3.48 6th Edition (3.41 5th Edition). 12. Chapter 3 Problem 3.51 6th Edition (3.44 5th Edition)....
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ELEG320_HW1_F10 - at(3 π 0 5 Add the following two time...

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