Question

Problem 5 (20 pts. In the following circuit, both switches were closed for a long time. At t=0, the switch 1 opens and at t = 35 ms, the switch 2 also opens. Determine the quantities given in the following table. t = 0 t = 35 ms 4 Ω 3 Ω 1 + [ 2 2N + 60 V 12 Ω ξ6 Ω 03150 mH 18 Ω

Answer 1

far Eko both switches are closed for along induta acts as shall circuit SO time mm 312 it will be i neglected un SIEN Son rah беру KCL at v if + y V-60 K f Y + wk 12 6015 4 + +1] [ ++ 12 u V=18 1 (0)= ln = GA at to switch ③ is open so illo) = iclot) = 6A = Velo) = 0 att-ot. quellifin 32 M + > 9XLS = 6n. 7+156 Een Vicol) GA 184 bu Vol 64

as inducta will not allow sudden charge in Vzo+= 6x (-6) = -36V feito Reap = ? ЛАМИ 30 fo fin qRego 94llisu = bn Reque 150mH 느 = 25 msec time constant y = 6 Real affe? that the circcit is index steady state so so Circuit itis source free icran) = Vi Cae) = 0V40A _tln PL[+) = (de) + [il comic [de] e + [5-oje t 25msec. O + -uot 1261) = font> 0 be catele opened so switch cet t=35msec I also 40x35x103 1.4795 A 6 e il (35mse) 1.1995 A it (35miect) = current at too suite is opened and circuit is

fortso SO under steady state il (de) = 0 Vicole) = 0 -(t-35m41) f(t) = (de) + Ciclismsect) -erage N=L Real лм 3+6=an 3120 Req Ebr ki Real 150mm 16.667 mec 9 -(t-35 msec) 16.667 msee Act) = 0+ [1-479-oje -60(1-35msec) 1-4795 e foto 35mfel IL (4) = ilC) = S 6 e 40€ -60 (t-35mses) 1.4795e for t>35 msec Velt) = dilets. dt -406 = 150X10 * 6x-40 Va et) = 150x1ő to 2401) fat>o VLCH) = -36 e4ot

VLCFI= 157810** 3 d 1.47956 (t- 35msec) fort 30 -3 - 60Ct-35 insec) 150x10x1.4795-60 e vet) töltse -360 not VL (+)= -folt-35msel) -13.3155 e for t.3 35mser