Basic Circuit Theory Chpter2 Problems I Writing nodal equations by inspection determine v, in each circuit of Fig 2-32 6 A 4A 5g2 Fig 2-32 For prob. I 2 Apply nodal analysis to the circuit in Fig. 2-33 to evaluate v 2 Q 50V ↑2A 39 4A Fig 2-33 For prob. 2 3 Use nodal technique to determine ik in network shown in Fig. 2-34 10g Fig 2-34 For prob. 3 4 Set up nodal equations for the circuit of Fig 2-35 and find the power furnished by the 5V source Any S 5A 5 Use nodal analysis on the circuit of Fig 2-36 to determine v and v B 2Q 5Q VRI1O Q2 5Q DaLian Maritime University
Basic Circuit Theory Chpter2 Problems 1 Writing nodal equations by inspection determine v1 in each circuit of Fig.2-32. 2 Ω 2 S 2 S 5 A 4 S 4 S 1 v 2 S − 6 A A + 4 v 1 10 Ω − + 5 Ω 7 A (a) (b) Fig.2-32 For prob.1. 2 Apply nodal analysis to the circuit in Fig.2-33 to evaluate v1 . 1 v 7 Ω 2 A − + 3 Ω 50 V 2 Ω 4 A + - Fig.2-33 For prob.2. 3 Use nodal technique to determine i in network shown in Fig.2-34. k 5 Ω − 3 A 10 Ω 4 A 20 Ω k i k 3i Fig.2-34 For prob.3. 4 Set up nodal equations for the circuit of Fig.2-35 and find the power furnished by the 5V source. V x 3 S S 1 5 A 5 V 4 S 2 S V x 4 + − + - Fig.2-35 For prob.4. 5 Use nodal analysis on the circuit of Fig.2-36 to determine v and v . A B 5 Ω 3 A − Ω + 12 V 2 10 Ω + V A − V B A i Bi 5 Ω 2 Ω 6 A + - Fig.2-36 For prob.5. DaLian Maritime University 1
Basic Circuit Theory Chpter2 Problems 6 Write nodal equations by inspection and then determine vn in the circuit shown in Fig. 2-37 10g 40950g 10A 20gv100g 5A↑20092 2.5A 7 For the circuit of Fig 2-38, a)use nodal analysis to determine v, and v2. b)compute the power absorbed the 6@ resistor 12g 40V ①6V 38 For prob.7 8 Referring to the circuit depicted in Fig. 2-39, use nodal analysis to determine the value of V2 that will result in v,=0 Fig 2-39 For prob. 8 9 Employ nodal analysis to obtain a value for v as indicated in Fig. 2-40 5 mA 470g210kg2.2kΩ 7mA 0.2v Dalian maritime university
Basic Circuit Theory Chpter2 Problems 6 Write nodal equations by inspection and then determine v in the circuit shown in Fig.2-37. p 2 A 2 .5 A 10 Ω 20 Ω 1 00 Ω 2 00 Ω 10 A 40 Ω 5A 50 Ω − + p v Fig.2-37 For prob.6. 7 For the circuit of Fig.2-38, a) use nodal analysis to determine v1 and v . b) compute the power absorbed the 6 resistor. 2 Ω 1 v 3 Ω 6Ω 12 Ω 240 V 10 A 30 Ω 60 V + − + −2 v - + - + Fig.2-38 For prob.7. 8 Referring to the circuit depicted in Fig.2-39, use nodal analysis to determine the value of V that will result in v1= 0. 2 − + 1 v 2 v 10 Ω 4 A 6 A 20Ω 40Ω 1 0.1v 96V + - + - + - Fig.2-39 For prob.8. 9 Employ nodal analysis to obtain a value for v as indicated in Fig.2-40. x 1 v − + x v 9 V 7 mA 470 Ω 1 0 kΩ 2 .2 kΩ + − 1 0 .2 v 5 mA + − Fig.2-40 For prob.9. DaLian Maritime University 2
Basic Circuit Theory Chpter2 Problems 10 Consider the circuit of Fig 2-41. Writing nodal equations determine the current labeled i, 0.5i 2 Q 2A 4Q Fig 2-41 For prob. 10 11 In the circuit of Fig 2-42 writing nodal equations determine the power supplied by the 2A 1Q 4A 392 Fig 2-42 For prob. 11 Write mesh equations and then determine i in each of the circuits illustrated in Fig. 2-43 10g 10g 2A 10V 5g2 Fig 2-43 For prob. 12 Reference answers to selected Problems (a)10V,(b)1.238V 21V 4:256W. 5:VA=1.5V,vn=3V. 6:1716V 7:(a)v1=58.5V,v2=644V,(b)543W 9:-8086V 10:-1.636A 11:133.2W. 12:(a)6A;(b)5A DaLian Maritime University
Basic Circuit Theory Chpter2 Problems 10 Consider the circuit of Fig.2-41. Writing nodal equations determine the current labeled i 1 . 1 i 2 A 4 Ω 3V 4 V 0 .5i 1 2 Ω + - + - + - Fig.2-41 For prob.10. 11 In the circuit of Fig.2-42 writing nodal equations determine the power supplied by the 2A source. 6Ω 1 V 2 A 3 Ω 4 Ω 4 V 3V 2 Ω 4 A 1 Ω 7 Ω + - + - + - Fig.2-42 For prob.11. 12 Write mesh equations and then determine i in each of the circuits illustrated in Fig.2-43 x 10 Ω 5 Ω 60 V 10V 2 A x i 4 Ω + - + - 4 Ω 2 Ω 4 V 10 Ω 6 V x i 8 x i + - + - - + (a) (b) Fig.2-43 For prob.12. Reference Answers to Selected Problems 1: (a) 10V; (b) 1.238V. 2: 21V. 3: 2.0A. 4: 25.6W. 5: v =1.5V, v =3V. A B 6: 171.6V. 7: (a) v1=58.5V, v =64.4V; (b) 543W. 2 8: -28W. 9: -8.086V. 10: -1.636A. 11: 133.2W. 12: (a) 6A; (b) 5A. DaLian Maritime University 3