Question

Question 3 15 pts 122 o b 2.5 H 109 t=0 - VR 21v 293 to F - 20v The switch was having been in position a for a long time, is moved to position b att = 0. 1. Sketch the circuit fort <0 and find v(O) 2. Sketch the circuit fort > 0 and 3. Write down the second order differential equation (No derivation is required) 4. Find v(t) Upload Choose a File ch o B e 0 F10 F11 > F9 FB F5 F6 F7 F F2 F3 $ % & 9 3 4 5 6 7 Т. TY

Answer 1

Given circuit 102 a toob bis M 20v 2es 21V a tro 12 322 21V eapautor will be open Circuit it connected for long time V60-) =VC0+) = V(0) = 21x2 2+1 (6) = 14 Volt tzo 100 г I for 2:54 mm Tv Ver 20V Duco)=144 -204 IR + L d& olt de te lidt +1400 10+ 2.50 I +4019dt = 6 at Ir da at 30 2's dzą + 10 da + + 40 q = 6 dt2 2nd ander differential ein @ Vit )? Taking laplace of es no 10 T (5) + 2.551(s) + 40 EC5). 6 S

Des) - 65 2.55% 103740 . VC) = 40 x DCS) 4686 ves) dis (6445716) 96 ves) - (5+2?» (12) taking inverse Laplace 25 e sint ut) Vit) = 96 JT V&I= 27.7202 simsiat Ult)