ee215-exam2s-w04 - EE215 Fundamentals of Electrical...

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EE215: Fundamentals of Electrical Engineering Midterm Exam 2 February 23, 2004 Time: in class, 50 minutes Class: _ EE215 _____________ Section: ____________________ Name: ____________________ Student ID: ____________________ Please show all steps in solving the problems. Clearly mark your final answers and don’t forget the units. Problem 1 (25+5 points) In the diagram to the right, assume that the current source i S = 0 for t < 0 and i S = 2A for t 0. (a) Write a set of mesh-current equations that describe the circuit in the diagram above in terms of the currents i 1 and i 2 . (10 points) Note: you do not need to solve this system of equations. Answer: This is similar to Example 6.6 in the book/lecture. 5 i 1 + 20d i 1 /dt + 5d( i S i 2 )/dt + 30( i 1 i 2 ) + 10( i 1 i S ) = 0 (1) 30( i 2 i 1 ) + 6 i 2 + 10d( i 2 i S )/dt – 5d i 1 /dt = 0 (2) 10( i S i 1 ) + 10d( i S i 2 )/dt + 5d i 1 /dt = 0 (3) Note: Only two of the 3 equations above are needed. (b) Complete the following table by filling in currents for i 1 and i 2 , and give brief explanations for columns 0 + and . (10 points) t = 0 t = 0 + t = i 1 [A] 0 0 1 i 2 [A] 0 2 5/6
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