ee250_HW4_sol

# ee250_HW4_sol - i f (t) by converting back into the time...

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1 EE 250 Winter 2010 University of Alberta HOMEWORK 4 (due Monday Feb 1 st , 2010) Instructor : Karthik Shankar (Make sure your answers show the work in solving the problem. If the final answer is wrong, partial credit will be provided if the work is shown to have made progress towards the solution. Do not expect any credit if the T.A. cannot logically follow what you have put on your submitted homework) 1. Following the example of the DC current source, convert the following time domain forcing functions into generalized phasors and find s in each case. SOLUTION 2. For each amplitude and phase angle in the first column and complex frequency s in the second column, find the corresponding time function.

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2 SOLUTION 3.
3 4.

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4 5. The circuit below contains a controlled current source. Obtain the transfer function V(s) H(s)= I(s) SOLUTION 6. 2 10 cos(10 30 )V t s v e t - = + ° in the circuit below. a) Determine the s-domain forced response I f (s) of the current in the 5 resistor branch using s-domain analysis with generalized phasors. b) Determine

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Unformatted text preview: i f (t) by converting back into the time domain 5 SOLUTION 7. 3 3 1 1 20 cos(4 )A and 30 sin(4 )A t t s s i e t i e t--= = in the circuit below. Find the forced response a) V f (s) and b) v f (t) by the s-domain analysis using the generalized phasor method. 6 8. In the network shown below, the switch is closed at t=0 . The initial conditions in this circuit are : At 0 , 0 and 25 A/s. di t i dt + = = = Obtain the natural frequencies and the complete current i=i n +i f . 9. Find the Laplace transforms of the following functions : a) ( ) cos( ) at f t e wt-= b) ( ) 1 at f t e-= -c) ( ) cosh( ) f t t θ = + (hyperbolic cosine) d) 5( 2) ( ) 20 ( 2) t f t e u t--= --e) ( ) (8 8)[ ( 1) ( 2)] (24 8 )[ ( 2) ( 4)] (8 40)[ ( 4) ( 5)] f t t u t u t t u t u t t u t u t =----+----+----SOLUTION a) b) c) 7 2 2 1 Substituting =1, {cosh } and {sinh } 1 1 s t t s s β = =--L cosh( ) cosh cosh sinh sinh t t t θ + = + d) e) 10. Inverse Laplace Transforms a) Find 8 SOLUTION b) Find SOLUTION...
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## This note was uploaded on 12/20/2010 for the course E E 240 taught by Professor Shankar during the Spring '10 term at University of Alberta.

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ee250_HW4_sol - i f (t) by converting back into the time...

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