Question

3. Find i(t) 61 422 111) 322 to ser zov . 4.- (25) Find itt) two ways: a) in the time domain 6) using the Laplace the Laplace Transform X 10 cost Volts t=0 sec ilt) + 12 lovolts 1H

Answer 1

At t=o the circuit will be 42 bet Velo) 20V 2012 1 Velo) = 0 V Vc (0) At t=00, the circuit will be 62 4 20 V Ucls) § 20 By voltage division rule, (4 + 2) Ucio) x 20 =lov (4 +2) +6 for time constant, 6-- 4r 322 Rea = 6116 Req = ( 6 11 (4+2)] Reg 6 x 6 31 6 + 6 31 Ses 3* $ 17 & Sec T = Rage for to the capaciter acoltage is given by, Vc (t) = ų los) + ( \(0*) – V. (@)). entre + (0-10) e e 2t Lo

Velt) = 10 (1-es 2+13 3) Volt ) current is gillen by ict) e d Uc H) dt 11 d dt 263)) 1 / (lolla e *10 [ 0 + 2631 e 2 2443 no Wo e 3.33 e-2 Ampi