Question

The switch in the circuit shown below has been closed for a long time. It is opened at time t = 0. Find Vou(t) for t>0. 5 kn 10 kn asv o nov Vout 150 F

Answer 1

th this steady state capacitor =) Switch is closed for long thue e act as open cke- slu . kelapply out nade vio) 940) Ucco-)10 volo-) -25 Viso (!? Opencke) lok s to 20 ucco-) u(co-) (2) = 15 teoj likt rhi Steady state. V110-) = 2010 HB UCCO )= uccot) - capacitor voltage does not change with the zero thue. at to switch is open at tax capaci kjactas open . =) Schritta lok dt 100. 100 c7 Ved) to clt ra transient state UC(2) z 10 volts

= thue constant N = Req leg. I tjocke voltage source shotte sk * 14 79 T = 10 isk Req=skllok & lok 3 = Ile xlok = LOK TC = isoleh Cea = isoler Req Po = Req.leq = 500X10% = 0.5 sec the formula vert) = ucca) + Lucco)-Ucca) El V(t) = 10 + (2010) e Hair VCCH) = 10 +10e at volts. =) from