Problems with Solutions - Circuits I - Spring 2008 | EEE 202, Assignments of Microelectronic Circuits

Download Problems with Solutions - Circuits I - Spring 2008 | EEE 202 and more Assignments Microelectronic Circuits in PDF only on Docsity! Problem & Solution display Page | of 2 Problem 12.05 _~Problem Hints Solution Guidelines Detailed Solution Final Answer 4 We need to find the Laplace transform of f(F} = teos(wt)u(t—1). First we let a(@)=roos(-t) 2 Property number 5 states that: els @utt-n)]=< ef 4)] 3 Thus, for the given function we obtain cfsson(et)e(e—1)] =eLe tule] << eLale +1) =e eC eto) e“e[(e+1) (cosut cosy—sinut sin) | =e*L[teosut eos 4 cosut cos w—tsinut sin. — sinut sinw] 4 Property number 8 states that: eesO]=-4e a S-thus, using the Laplace transform pairs £[ ¢osut] = SF and £[sinet]=—¥ 344 obtain: (1? \a? £[reosut cos] = — cose: 7 be?) Af cous. —_S L[eosut eos] = eos — 5 Faw 4 C[tsinet sinw | = — sin S| L[sint sinw | = sin: 6 Hence, F(s)=e* 2 25*c0s—|s G. hup://www.justask4u.convespiirwin/iSolutionDsp.csp?QIN=Q5588 10/31/2004