Question

ZAT 1325ml AL &R at 2A, direct current source is provided to circuit. In the 25mH inductor initial current is 25 mil. In the capacitor, initial current is 2sv. a) gf R=252, determine expression for iL(+) fortzo

Answer 1

Solution : 22505 VLt). 2A ਬਾਰ CP Velt R-252 10MH Girers data : Initial current through o inductor is (10) = 250A, Initial voltage across it is Velo - 25v. capacitor Valve is not giren c=104F. in the circuit so assume Write down ka to the above equation. it & rexio barelts telty =2. dt Velt) = 4, y = 25x103 dicity dt + 25x10 dilts=2 Just + 4000 di Lits + 4x10b = snob dtz The complete solution for abore diffential ogwatich is Its - Ptz Its & Loss It)

9 steady state solution itsst): steady state current through is docks is = ZA Las lt) = {{ls=2A Then Transient solution is to itji Homogeneous equations for the above disforestial equation is. 2 TL14) & Looddialt + Lexo + Loto dtz dowy abore gratis too s-doronin is 3² & 4ooost 4xid so o The stas dood 2 soder sdossatos equation is 2as two - - - 22 = 400 d = wo tance the giren trait froduces critical sy dassped resposte fos ca C-loof The solutions to adore differential equaties to its = (htate

-2000€ Lito It) = At Até A t=0, los = Arroje = A=1210) = 25mg Voltage across the inductor wish monedide after t-oi DVD) 3250 2+ 210 = Velog=160) K 10 = Velo=250 Vit) = 25x103 di Lits dt fig: circuit fro to dility - gity 25xo At 251103 = las nys 25003 respect to time to Differestrate ego =-2000 e MAttare At t=0, dillo) = -20ose (fo) the lap = -200h + A2=-2500x 2540 -200ot is, trit) = (25 x 103 1050the = (0.025 + 1050tse complete solution is illt= to itstist 2+ (0825+ 1850the Afro to -2000