Basic Circuit Theory Chpter3 Problems 1. In the circuit shown in the Fig.3-15, it is desired that v 2 = 3 3 v - 2v 1 . a) Find the value of R a that gives the desired relationship. b) Suppose that v 1 = - 10V and v = 10V, find the magnitude of the currents through all resistors and the powers dissipated by all resistors. 2 - + + oo + + - + - 3 v 1 R 2 R ?k10 1 v 2 v ?k5 a R b R ?k10 = = = Fig. 3-15 For prob.1. 2. For the circuit shown in the Fig.3-16, find v 2 / v . 1 - + + oo + - ? + 1 v 2 v 1 G 2 G 3 G 4 G 5 G Fig. 3-16 For prob.2. 3. Find v o / v 1 for the circuit shown in the Fig.3-17. - + + oo - + + oo 1 R 2 R 1 v o v ? + 3 R 4 R 5 R ? + Fig. 3-17 For prob.3. 4. Referring to Fig.3-18, calculate the voltage v o + - - + + oo Fig. 3-18 For prob.4. mA1 o v?150 ?k2.2 DaLian Maritime University 1 Basic Circuit Theory Chpter3 Problems 5. For the circuit of Fig.3-19, calculate the voltage v 1 . A1μ + - - + - + + oo 1 v V3 ?100?k1 ?k17 ?k75 ?M4 ?k300 Fig. 3-19 For prob.5. 6. Find an expression for v in circuit of Fig.3-20, and evaluate it at t = 3 seconds. o + - + - + - - + + oo ?k2 ?k1 V2 mVt3sin2 o v Fig. 3-20 For prob.6. 7. Choose R 1 and R in Fig.3-21 to obtain v = 23.7cos500t volts. f o + - + - - + + oo Fig. 3-21 For prob.7. 8. If v s = 5 mV in the circuit of Fig.2-22, calculate v o - + - + + oo + - o v s v ?100 ?k1 ?k100 ? + ?k3.3 1 v 1 3 103 v ? × Fig. 3-22 For prob.8. 9. Derive an expression for v in terms of v 1 and v for the circuit of Fig.3-23. o 2 + - - + + oo - + - + + oo + - 1 V 2 R 3 R 1 R f R 2 V o V Fig. 3-23 For prob.9. DaLian Maritime University 2 Basic Circuit Theory Chpter3 Problems 10. Determine v for the op amp circuit in Fig.3-24. o + - - + + oo V4 o v mA1 ? + ?k2 Fig. 3-24 For prob.10. 11. Find v and i in the circuit in Fig.3-25. o o + - - + + oo V3 o v ? + ?k2 ?k8 o i ?k4 ?k10 ?k5 Fig. 3-25 For prob.11. 12. Find v and i in the circuit in Fig.3-26. o o 1 + - - + + oo ?k100 o v ? + V o i ?k10 ?k50 ?k10 ?k90 Fig. 3-26 For prob.12. Reference Answers to Selected Problems 1: (a) 80 k?; (b) i 1 =i = - 1.333 mA, i =i =- 0.333 mA, p 1 =8.89 mW, p =17.78 mW, p =8.89 mW, p =1.111 mW; (c) i 1 =i =0, i a =i =1mA, p 1 = p =0, p =80 mW, p =10 mW. 2: 2 a b 2 a b 2 b 2 a b 54421 41 ) GGGGGGG GG ++++ ? 53 ( .3: )( )( 4352421 R 5432 1 0 RRRRRR RRRR v v ++ + =? . 4: -2.2V. 5: 21.1V. 6: -2(2+2 sin 3t ), -5.648V. 7: R =100 1 ?, R =23.69 k . 8: 929 mV. f ? 9: V = out 1 12 132 3 )1)(( R R VV R R RR R ff ?+ + . 10: (a) 2V; (b) 2V. 11: -2V, -1 mA. 12: 2.7V, 288μ A. DaLian Maritime University 3