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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 sdomain 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.
 Spring '10
 Shankar

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