Basic Circuit Theory hpter12 Problems I Find the four Y parameters of the network shown in Fig. 12-19 20g2 5094092 R川 Fig. 12-20 For prob. 2 Fig. 12-19 For prob. I 2 LetRs= lkQ, yu=3 mS, y1=-1 mS, y21= 24 mS, y22=0.5 mS, andr,=4 kQ2 for the circuit shown in Fig. 12-20. Determine numerical values for: (a) voltage gain G=v2/vI;(b) current gain 12/I, and I2 /Is:(c)power gain G p=P,/Ps:(d)input impedance Zin=v1/l;(e)output impedance Zout =V2/l, with Is=0 andR, =00;(f)reverse voltage gain GvR=VI/v 2 with Is=0 andR,=00 3(a)Find all the Y parameters for a two-port characterized by the equations: 6v,-312=0 and 5v2=1211+ 212-3v,.(b) Find new values for the Y parameters after a 52 resistor is added in series with one conductor of the output port 4 For the amplifier circuit of Fig. 12-21, find the four Y parameters and the ratio of output power to that supplied by the ideal voltage source 109309200g 10人 Fig. 12-21 For prob. 4 Fig 12-22 For prob.5 5 The block in Fig. 12-22 is described by the following open-circuit impedance parameters z1=10092,z12=-500g2,z21=100092,z22=10k92.(a)lfR=5kg, what is the rms 'oltage across it. (b)What value ofR would result in maximum power delivered tori?(c) What are the values of the Y parameters for the block? 6 Find the four hybrid parameters for each network shown in Fig. 12-23 V [HV,R Fig. 12-23 For prob. 6 Fig. 12-24 For prob. 7. DaLian Maritime University
Basic Circuit Theory Chpter12 Problems 1 Find the four Y parameters of the network shown in Fig. 12-19. + + - - R L 1 • V I s • 2 • 1 I • I 2 • V RS Two port + + - - - + 20Ω 5Ω 50Ω 10Ω 1 • V V T • 2 • V 40Ω Fig. 12-20 For prob.2. Fig. 12-19 For prob.1. 2 Let R = 1k , y =3 mS, y12 = - 1 mS, y = 24 mS, y =0.5 mS, and R = 4 kΩ for the circuit shown in Fig. 12-20. Determine numerical values for: (a) voltage gain GV = / ; (b) current gain / and / ; (c) power gain G =P /P ; (d) input impedance Z = / ; (e) output impedance Z = / with = 0 and R = S Ω 11 21 22 L 2 • V 1 • V • 2 I • 1 I • 2 I • S I P L S in 1 • V • 1 I out 2 • V • 2 I • S I L ∞ ; (f) reverse voltage gain G = / with = 0 and R = VR 1 • V 2 • V • S I L ∞ . 3 (a) Find all the Y parameters for a two-port characterized by the equations: 6v1 - 3i = 0 and 5v 2 = 12i 1+ 2i - 3v1 . (b) Find new values for the Y parameters after a 5 2 2 Ω resistor is added in series with one conductor of the output port. 4 For the amplifier circuit of Fig. 12-21, find the four Y parameters and the ratio of output power to that supplied by the ideal voltage source. DaLian Maritime University 1 1 - - + + + - 10Ω 1 • V 10I x • 100 Ω 30Ω 2 • V 10Ω 200 Ω I x • / 0°V R L / 0°A [Z] 500 Ω 1 Fig. 12-22 For prob.5. Fig. 12-21 For prob.4. 5 The block in Fig. 12-22 is described by the following open-circuit impedance parameters: z 11 =100 , z 12 Ω = - 500Ω , z = 1000 21 Ω , z =10k 22 Ω . (a) If R = 5 k L Ω , what is the rms voltage across it. (b) What value of R would result in maximum power delivered to R ? (c) What are the values of the Y parameters for the block? L L 6 Find the four hybrid parameters for each network shown in Fig. 12-23. 1kΩ 1 R L • V + V s • 2 • V − + − + − [H] + + - - 1 • V 2 • 10Ω V h11=30Ω h12=0.02S h21=4 h22=0.02S Fig. 12-23 For prob.6. Fig. 12-24 For prob.7
Basic Circuit Theory Chpter 12 Problems 7 The two-port shown in Fig. 12-24 has these hybrid parameter values: h,=1000Q2,h12=0.0015, h,=100, h,,=100 uS. Let Vs=10 Z0 mV(a) Find v2 ifr =10 kQ2(b)Find the value ofR L, which result in maximum power being delivered to Ri.(c)What are z parameters for 8 In the circuit shown in Fig. 12-25 the transmission parameters for each of two-port are given find transmission parameters T for entire network 9 Find the yu and y, for the two-port shown in Fig. 12-26 0 Find the four Y parameters for the network of Fig. 12-27 3 Fig. 12-25 For prob. 8 ig. 12-26 For prob. 9 100 2I Fig. 12-27 For prob. 10 Fig. 12-28 For prob. 1l DaLian Maritime University
Basic Circuit Theory Chpter12 Problems 7 The two-port shown in Fig. 12-24 has these hybrid parameter values: h11 =1000Ω , h12 = 0.0015, h = 100, h =100 21 22 µ S. Let V S =10 mV. (a) Find if R =10 k • o ∠0 2 • V L Ω . (b) Find the value of R , which result in maximum power being delivered to R . (c) What are z parameters for this two-port? L L 8 In the circuit shown in Fig. 12-25 the transmission parameters for each of two-port are given, find transmission parameters T for entire network. 9 Find the y11 and y 22 for the two-port shown in Fig. 12-26. 10 Find the four Y parameters for the network of Fig. 12-27. + + - - 20Ω 5Ω 2Ω 10Ω 1 • V 3 Ω 2 • V ⎥ ⎦ 0 3 4 2⎤ 2 1 ⎤ 3 3⎥ ⎦ ⎢ ⎣ ⎡ ⎢ ⎣ ⎡ Fig. 12-25 For prob.8. Fig. 12-26 For prob.9. DaLian Maritime University - + + - 25 Ω 1 100Ω • V 2 2 • V 1 • I 1 • I + - + - + - • • • • [Y ] 5Ω 2Ω 1 • V 2 • 1V V 1 • I 2 • I Fig. 12-27 For prob.10. Fig. 12-28 For prob.11. 2
Basic Circuit Theory Chpter 12 Problems Reference answers to Selected Problems l:(a)y11=125,yn=62.5,y21=62.5,y22=93.8mS 2:(a)Gp=32,(b)0.299,(c)02,(d)Gp=256,(e)Zm=28692;(f)zom=153.992;(g) G=0.25 3:(a)yn=06,y12=0.333y21=21,y22=0.5s;(b)yn=16,y12=0.0952,y21=0.6, y2=0.1429s 4:y11253,y12=1.21,y21=2422,y22=31.3mS,Gp=23.4 5:(a)186lV(b)10.83k9;(c)y1=667,y12=0.33y21=0.667,y22=00667mS 6:h1=7.592,h12=0.05,h21=1,h2=0.04S 7:(a)-4V,(b)40kg;(c)z1=500,212=15,221=10°,z2=10g 810 8:T 612 9:14l8and-76.6mS 0.04-004 10Y= 0.04-0.03 DaLian Maritime University
Basic Circuit Theory Chpter12 Problems Reference Answers to Selected Problems 1: (a) y11 =125, y12 =-62.5, y =-62.5, y =93.8 mS. 21 22 2: (a) GV =-3.2; (b) 0.299; (c) 0.222; (d) G =256; (e) Z =28.6 P in Ω ; (f)Z =153.9 ; (g) GVR =0.25. out Ω 3: (a) y =0.6, y =0.333, y =-2.1, y =0.5S; (b) y =1.6, y =0.0952, y =-0.6, y =0.1429S. 11 12 21 22 11 12 21 22 4: y11 =25.3, y12 =-1.21, y =-242.2, y =-31.3 mS; G =23.84. 21 22 P 5: (a) 186.1V; (b) 10.83 kΩ ; (c) y =6.67, y =0.333 y =-0.667, y =0.0667 mS. 11 12 21 22 6: h11 =7.5Ω , h =-0.05, h =1, h =0.04S. 12 21 22 7: (a) –4V; (b) 40 k ; (c) z =-500, z 12 =15, z =-10 , z =10 4 Ω 11 21 6 22 Ω . 8: T= . ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ 6 12 8 10 9: 141.8 and –76.6 mS. 10 Y= (S). ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − 0.04 0.03 0.04 0.04 DaLian Maritime University 3