EE330_FA07_Exam_1_solutions

EE330_FA07_Exam_1_solutions - E E 330 Midterm Exam No. 1...

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Unformatted text preview: E E 330 Midterm Exam No. 1 Fall 2007 N a m e : Section: Section 1 (T 10:10A12:05P) Section 2 (T 12:20P02:15P) Section 3 (R 12:20P02:15P) Section 4 (R 02:30P04:25P) I ______________________________ have not given or received any help on this examination. (signature) DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO Read carefully the following information Do not forget to write your name and section number on the top of this page. Do not remove any pages. Notations used: x , y , z unit vectors; j the imaginary unit; an arrow above a quantity a vector quantity. PROBLEM WEIGHT SCORE 1 5 2 20 3 20 4 20 5 30 6 5 TOTAL 100 E E 330 Midterm Exam No. 1 Fall 2007 26 September 2007 2 Problem 1 (5%) What are the MKS units of the universal gravitational constant G in the equation for the gravitational force between two masses (m 1 ,m 2 )separated by distance R 12 r F g21 = R 12 Gm 1 m 2 R 12 2 . Show your work. Problem 2 (20%) An argon ion laser beam is propagating through the atmosphere at ground level. We can express the electric field intensity by the following equation. ( ) = m V z t e t x E x 7 6 001 . 10 45043 . 1 10 . 4 cos 200 ) , ( a.) What parameter does not change whether we are at ground level or in a vacuum? (velocity, wavelength, or frequency) b.) What is the wavelength of the light at ground level? c.) What is the direction of propagation? d.) At x = 1 km what is the amplitude of ) , ( t x E ? E E 330 Midterm Exam No. 1 Fall 2007 26 September 2007 3 Problem 3 (20%) Determine the phasor expressions of the following vectors: a.) y t x t t A 5 cos ) sin( 3 ) ( + + = r b.) x y t e t B y 4 2 20 cos ) ( 2...
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EE330_FA07_Exam_1_solutions - E E 330 Midterm Exam No. 1...

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