ECE2260F09_HW6

# ECE2260F09_HW6 - lim t →∞ v o t 4 – v g t = 2 V t<...

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2260 F 09 HOMEWORK #6 1. a) Find L e 5 t ( t 2) u ( t 2) { } . b) Find v ( t ) if V ( s ) = 1 s + 31 s + 39 s 2 + 2 s + 17 . c) Find lim t 0 + v ( t ) if V ( s ) = 23 s 2 4 29 s 3 + 5 s 2 + 37 . d) Plot the poles and zeros of V ( s ) in the s plane. V ( s ) = s 2 + 14 s + 45 ( s 2 + 49)( s + 19) Re Im

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2. + v g ( t ) = 6V + 3 e t cos(2 t ) u ( t )V C = 200 mF L = 200 mH R = 1.2 Ω v o ( t ) + Note: The 6 V in the v g ( t ) source is always on. a) Write the Laplace transform, V g ( s ), of v g ( t ). b) Draw the s -domain equivalent circuit, including source V g ( s ), components, initial conditions for L and/or C , and terminals for V o ( s ). 3. c) Write an expression for V o ( s ). d) Apply the final value theorem to find
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Unformatted text preview: lim t →∞ v o ( t ) . 4. + – v g ( t ) = 2 V t < e − t V t ≥ R 1 = 2 Ω R 2 = 4 Ω L = 3 H v o ( t ) + – a) Write the Laplace transform V g ( s ) of v g ( t ). b) Write the Laplace transform V o ( s ) of v o ( t ). Be sure to include the effects of initial conditions, if they are nonzero. 5. c) Write a numerical time-domain expression for v o ( t ) where t ≥ 0....
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ECE2260F09_HW6 - lim t →∞ v o t 4 – v g t = 2 V t<...

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