Question

4) The switch was imposition à for a long time. At too, the switch moves toposition 'b! Find the following. zokn 6 á skur 40 kur M 40v & Gokes to Ta Tob.25 uF me looks 75V a) Ne (0) = b) u (ot) = - C) N 00) = _ d) T = _ e) v (t) fot>o test) = f to (t) for t>o lo(t)= Find Ly in the cireint 5) 3 pts 6500 96 mH - Ly= 0002 6MH 36mH 86mH 22 (t)= d (0) + [41 (0)41 60er Welt= V. (09)+ [ve (0)— v.@jethe

Answer 1

solution: 4 step. Assume nitially shitet has been an position a sor a long time before tao. So carevic goes to steady state. Hence capacitor act as a open cirwit for t20 je tao. 1a). Vottage across Capacitor 40kr for t=5 by using roltage Velo) 1boks 75 division role is Vi sok Figy Circuit for thoirto look thok Velo - Gov Veld) = Velo) = V10) = GOV allow sudden changes ar Stoce capacitor doesn't the circuit Step 2 : Now assume a tob at tao. je Soo tzo. SkiTtch suitch moves tosition from position b' is connecter - Assure that the cirwit is connected for a long time or Goksta aftes to je t=d. So cirusit againy seaches riga circwir for tso Steady state. Herce Capacitor act as a opers Cirwit.

pokra in Dg using voltage diviston Rule Voltage across Capacitor for tad a Vela - Set - x 40 3 boks clool Fig. 3 Velot) - 300 circuit for t ot Step 3. Torre is constant & of Be cerwit for to Regte, where <=0.2545 Rea Reg = 20 k)) bok -15kn 20kbok fok 3 Reo a = 150.25xi = 3.75ms Figen cirwit for Reg. Step & tso is Voltage across capacitor of RC cirwit for Velts = Velot) + Velo) - Viaje Vett) = 30 + [60-307 235x> Soweto vest 30 [iness to set Step 5: current through capacitos is bu=0.25x10 dit & It) = 8.25 80x & Bolo ty 2666th Foto 625x8x30xf2600 €

Lolts = - 266.67€ -2x e MA for to Ema 3 36 1,64 GMHB 6m Step - consected nauctors. inductors are converted to T . La Ly=Lz = 6x6x6 = 20t. (6+6+6)x163 stao za step 2: 5mt and foot arre connected in passalles GMA EMH = 6x6riot (6+6)x? 2. 32 Lue 3713 32 YOX step : 304 and 2 are I series. so equivalent Inductance is 500H. 27 327

tre ws om 3am small2mH= 5x10x200 = 10 ma 15+Z) x103 steph: L = no 2x = 24 **. L = 34.* or 3.42857