Basic Circuit Theory Chpter3 Problems 1. In the circuit shown in the Fig 3-15, it is desired that 23 2v, a)Find the value of R that gives the desired relationship. b) Suppose that v,=-10V and v2=10V, find the magnitude of the currents through all resistors and the powers dissipated by all resistors R,=10kg2 R=SkQ R=l0kQ Fig 3-15 For prob. 2. For the circuit shown in the Fig 3-16, find v2/V, G Fig 3-16 For prob. 2 3. Find v,/v for the circuit shown in the Fig 3-17 Rs Fig 3-17 For prob. 3 ferring to Fig 3-18, calculate the voltage v 2.2kg 1509 ig. 3-18 For prob. 4 DaLian Maritime University
Basic Circuit Theory Chpter3 Problems 1. In the circuit shown in the Fig.3-15, it is desired that v 2 = 3 3 v - 2v1 . a) Find the value of R a that gives the desired relationship. b) Suppose that v1= - 10V and v = 10V, find the magnitude of the currents through all resistors and the powers dissipated by all resistors. 2 - + + oo + + - + - 3 v R 1 R 2 10kΩ 1 v 2 v 5kΩ Ra Rb 10kΩ = = = 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 G1 G2 G3 G4 G5 Fig. 3-16 For prob.2. 3. Find v o / v1 for the circuit shown in the Fig.3-17. - + + oo - + + oo R 1 R 2 1 v o v − + R3 R4 R5 − + Fig. 3-17 For prob.3. 4. Referring to Fig.3-18, calculate the voltage v o + - - + + oo Fig. 3-18 For prob.4. 1mA o 150Ω v 2.2kΩ DaLian Maritime University 1
Basic Circuit Theory Chpter3 Problems 5. For the circuit of Fig3-19, calculate the voltage v, IkQ 4MΩ 6. Find an expression for vo in circuit of Fig 3-20, and evaluate it at t=3 second 2 sin 3t mVo 7. ChooseR, andR in Fig. 3-21 to obtain v,=23. 7cos500t volts 8. Ifv,=5 mV in the circuit of Fig 2-22, calculate v 00g Ik Q 3kQ 9. Derive an expression for v, in terms of v and v2 for the circuit of Fig 3-23 Fig. 3-23 For prob.9 DaLian Maritime University
Basic Circuit Theory Chpter3 Problems 5. For the circuit of Fig.3-19, calculate the voltage v1 . 1µ A + - - + - + + oo 1 V v 3 1kΩ 100Ω 17kΩ 75kΩ 4MΩ 300kΩ 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 2kΩ 1kΩ 2 V 2 sin 3 t mV o v Fig. 3-20 For prob.6. 7. Choose R1 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 100Ω 1kΩ 100kΩ − + 3.3kΩ 1 v 1 3 3 10 v − × Fig. 3-22 For prob.8. 9. Derive an expression for v in terms of v1 and v for the circuit of Fig.3-23. o 2 + - - + + oo - + - + + oo + - V1 R 2 R 3 R1 R f V 2 Vo Fig. 3-23 For prob.9. DaLian Maritime University 2
Basic Circuit Theory Chpter3 Problems mp circuit in Fig. 3-24 11. Find v and i, in the circuit in Fig. 3-25 3V 4kg凵v。 OkE Fig. 3-25 For prob. Il 12. Find v. and i, in the circuit in Fig. 3-26 IV( sokol Reference answers to selected problems 1:(a)80k9;(b)i1=i2=-1.333mA,ia=ib=0.333mA,p1=889mW,p2=17.78mW pa=8.89 mW, p=llll mW;(c)11=12=0, ia=ib=lmA, p,=p2=0, Pa=80 mW, P=10 m2aG+02+0+G)+60。R(R,+R) GIGA R1(R2R4+R2R5+R3R4) 4:-22V5:21V.6:-2(2+2sin3t),-648V.7:R1=10092,Rr=2369k.8:929mV 9:V R3 0:(a)2V,(b)2V. 11:-2V.-1mA DaLian Maritime University
Basic Circuit Theory Chpter3 Problems 10. Determine v for the op amp circuit in Fig.3-24. o + - - + + oo 4V o v 1mA − + 2kΩ Fig. 3-24 For prob.10. 11. Find v and i in the circuit in Fig.3-25. o o + - - + + oo 3V o v − + 2kΩ 8kΩ oi 4kΩ 10kΩ 5kΩ Fig. 3-25 For prob.11. 12. Find v and i in the circuit in Fig.3-26. o o 1 + - - + + oo 100kΩ o v − + V oi 10kΩ 50kΩ 90kΩ 10kΩ Fig. 3-26 For prob.12. Reference Answers to Selected Problems 1: (a) 80 kΩ ; (b) i 1=i = - 1.333 mA, i =i =- 0.333 mA, p1=8.89 mW, p =17.78 mW, p =8.89 mW, p =1.111 mW; (c) i 1=i =0, i a =i =1mA, p1= p =0, p =80 mW, p =10 mW. 2: 2 a b 2 a b 2 b 2 a b 1 2 4 4 5 1 4 G G G G G ) G G G G + + + + − 3 5 ( .3: ( ) ( ) R1 2 4 2 5 3 4 2 3 4 5 1 0 R R R R R R R R R R v v + + + = − . 4: -2.2V. 5: 21.1V. 6: -2(2+2 sin 3t ), -5.648V. 7: R =100 1 Ω , R =23.69 k . 8: 929 mV. f Ω 9: V = out 1 2 1 2 3 1 3 ( )( 1) R R V V R R R R R f f + − + . 10: (a) 2V; (b) 2V. 11: -2V, -1 mA. 12: 2.7V, 288 µ A. DaLian Maritime University 3