Question

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3. Find ilt) 63 42 ww 321 teo per Zov T** 4- (25) Find it) two ways: a) in the time domain the Laplace Transform 6) using t=0 sec. 7 + 10 cost Volts i lovolts 1H

Answer 1

3 Find ift). GR Ya + t=ogel 74) LE a ROV gan for teolt=0); Switch is opened Canpur 2243 --- copened Vco)=ov 1670A мм. Velo * for t=0(t )? Switch is closed Capacita elesed opened 64 M 41 M 20 201 (6+4+2) & VcCooly į, = 1.666 A – 20+-69, + Ve@=0 Vca)= 20 = 20-66x7666) Vccm) = 10 V • VCO:) Vel)+KO) --VOJė GI, 7 = Regs Reg = (472)6 = bllo 6x6 676

Re: 34,Cor => a = 7:35 1.5 sec > Vett) = 10 +@-10) ēlos Ni(t) = 10-10 2 0-66t vulli -Y it) dVct) C det ita (10-10 0.0] ift) = [-10x- it! = 3-53 € 107-066 @ 0:667 o bonset] 0.667 Amp. 9 find itt) two ways. 2 In the time domain okec it la Olo cost v 1H 10V

for txos switch is opened f(0) = 0 A » for too switch is closed. it 10 cost v i -lova it) 44 *4 -104-10 Cost) + 1lt) + 098) dt -0 dt tilt) = 10.710 Coeft) after Solving above differredial Equation, qa= [cit set sin lt) + 5 et cost itha Get + 5 Sinct) +5 Comet 10 i C) = 0 = G+ 0.+510 G=-15 to etj et

it) -156t+10+5 Sinet + 5 Coff) lict) 512 sin (t + 7 ) + +10-15ēt Amp. Using the Japlace Tulangfólm, 10 copt en 10 ) 105 satu 1s) 35 10 + [+s) 1 (s) = 0 10 S 1059+10+10s? -olos 10S sita St1). IS = + TDS site s(+1) 1 (5) 205 +10 s(Sti) R) after folving above Laplace Equation I (si= 10 + 15 St1 + 5S s St1 sat1 96)= 10-1575 Sint) 45 Coolt) ittl= 552 sint+7)+10-15et/ Amp.