hw #9 - ENGR 210 Homework #9 Fall 2008 Due October 29, 2008...

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ENGR 210 Fall 2008 Homework #9 Due October 29, 2008 Mutual Inductance Problem 1 There is no energy stored in the circuit shown below at the time the switch is opened. (a) Derive the differential equation which describes the behavior of i 2 if L 1 =10H, L 2 =40H, M=5H and R o =90 Ω . (b) Show that if i g = 10 e t 10 amperes, t 0, the differential equation in (a) is satisfied by i 2 = e t 5 e 2.25 t amperes, t 0. (c) What is the expression for the voltage v 1 across the current source? (d) What is the initial value of v 1 ? (e) What is the coefficient of coupling k? (f) For these two coils, what is the largest value that M can have?
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Problem 2 Switched Inductor The switch in the circuit shown below has been open for a long time. At t=0 the switch is closed. (a) Determine i o (0 + ) and i o ( ). (b) Determine i o (t) for t 0 + ? (c) How many milliseconds after the switch has been closed will the current in the switch equal 3.8A.
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Problem 3
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hw #9 - ENGR 210 Homework #9 Fall 2008 Due October 29, 2008...

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