Question

please fully explain all parts

Question 1: Answer all eight parts of Question 1. All questions carry an equal 5 marks. (i) What is the output voltage of the circuit shown in Figure 1.1? Assume ideal op- amp behaviour. 24 22 min m 10v lov o su Figure 1.1 (ii) Find the current in the 3 resistor in Figure 1.2. 20v – 30 20 Figure 1.2

Answer 1

122 10V Can be 122 redrawn (1+12) zur tlovo 120 In + IGVA + 5 ve since inverting Virtual ground & non rinvesting ; so Voltage at and a vie => 10 - + 10 - E vi - Vo dur, liduting in or 5 Tors 12 10- 12 5-vo 24 -15 v -> Vo = 5-120

2ov 3 2 2 2 +2 can be redrawn 2017 Rs = 2 + 1 = 3 2 can be re drawn 2ov 832 Total equivalent resistance = 1+ 3x3 343 = 2.52 Itotal = 20 = 8A. applying current division rule. Ter - Itat x 3 3+3 = 24 = 44

C11 can be redrawn Ri=le lov we can obberre that in this case a R, R3 = Ro Ry 1x1 = 1x1 which satisfies Wheatstone bridge so current through the bridge bear [I =0

suon lov & more shott lov non on loove Ckt At steady state the induction will be short Cirecnited. Steady state curtcent = 100 = 2.5A. 7 Inauspective of value of L, steady state Cartrent is 2.5A for any value of L it holds tane. 2omt snor i at t=0 SA i(t) = ict-a) + (ict=o) &- i (+= o) e le T = 1 2 (Time constant). AL += 0; inducture is short circuited. 3400 Lov 10 0.25 A. 7 ilt) = 0.25+ (3-0.25. - + (2x103) = 0.25 + (2.75 -2x10²4)

30u lou - Со и 254 We need to fina Ceg од 20x Co - 20 и 30+60 Tout 7254 20+25=45 uf 1 0ш похч5 - Заце 10+30=4ou 6 ou 90+45 Gou 10M C - Go чo 2у де Log = jw Ceq c = x 1 x 24x10-6 = 41666.67 1-902

2001 IRR а 5 мм (+5ou 3 [к — — Loop 1 : RV2: — 50 - 1x1 - 2 оо 1 - x 1, 2 O since ab is open so I = 0 So 2оо тво eqn o becomes : Бо - т - о - 2 = 0 - Т = 25 mA Voc = Voltage across 1K2 - 25x1=25/1

Now for shoot circuit current : 200lse iki Ise Isc) loop II RUL: 200 Tse - 1000 I, - 50 - roool t tooo Ise = 0 = 12 Tsc - 2 I, - o.05 = 0 to op: Iser ve: - 100 Ise - 1ooo Ise + 10ood, so 0 = -1. 1 Ise + - 1 = substituting in 1.2 Ise - 2.2 1,= 1.1 Ise : Ise - 0.05 = 0 so Rina Voc - 25 = 50002 25 0.05

thevenin's liruist. qui valent 0.05A КТА NTH 5002 Dasv