Basic Circuit Theory ChpterI Problems 1 For the circuit of Fig. 1-26 find: V, i, and the power absorbed by the load 10g2A 2Q 3A lOad Fig. 1-26 For prob. I 2 With reference to the network shown in Fig. 1-27 find ix, Vr, and the power absorbed by the 5V source A +8V ↑6A Fig. 1-27 For prob. 2 3 Find the power supplied by the 3V source in Fig. 1-28 69 Fig. 1-28 For prob. 3 4 For the battery-charging circuit shown in Fig. 1-29 a)find i and the power delivered to the load. b)What would i be if the battery voltage increased to 12.6 V? Fig. 1-29 For prob. 4 5 For the circuit shown in Fig. 1-30 find V 3o and the power supplied by the 10 mA source a )Find V30, ir, and iy for the circuit shown in Fig. 1-31. b)Change the control on the dependent source in Fig. 1-31 from 21, to 2ly, and then find V 30, ir, and iy 110mA Fig. 1-30 For pr Dalian maritime university
Basic Circuit Theory Chpter1 Problems 1 For the circuit of Fig. 1-26 find: v, i , and the power absorbed by the load. v 20V 3A 10Ω 2Ω i − + 60V 2 A + - + - Load Fig. 1-26 For prob. 1. 2 With reference to the network shown in Fig. 1-27 find i , v , and the power absorbed by the 5V source. x x + − 5 V A 3A 6A B x i 8 V x v − + + - 3 Find the power supplied by the 3V source in Fig. 1-28. Fig. 1-27 For prob. 2. 1 i 5Ω 3 V 10Ω 6Ω 13V 20 1 i + - + - + - Fig. 1-28 For prob.3. 4 For the battery-charging circuit shown in Fig. 1-29 a) find i and the power delivered to the load. b) What would i be if the battery voltage increased to 12.6 V? 1 v 0.06Ω i 16V 2 1 0. v 12V 0.24Ω − + + - + - + - Load Fig. 1-29 For prob. 4. 5 For the circuit shown in Fig. 1-30 find V 30 and the power supplied by the 10 mA source. a ) Find V , i , and i for the circuit shown in Fig. 1-31. b) Change the control on the dependent source in Fig. 1-31 from 2 i to 2 i , and then find V 30 , i , and i 30 x y x y x y − 30mA + 1 kΩ 10mA v 30 250Ω Fig. 1-30 For prob. 5. DaLian Maritime University 1
Basic Circuit Theory ChpterI Problems 6 It is desired that the 5S conductance in Fig. 1-32 be replaced by a conductance G that will absorb exactly 100 w when used in that circuit. Find the larger value of g that will accomplish this V301kQ 10mA Fig 1-31 For prob. 6 7 a) Find the v, i, and the power delivered by the independent source in Fig. 1-33. b)Repeat if the arrow of the dependent source is reversed 3 mA 5S 10s Y 13mA Fig. 1-32 For prob.7 8 Findi and i in the circuit of fig 1-34 29 0.5 9 Referring to the circuit in Fig. 1-35, a)If i,=5A, find v, and i.b)If v,=3v, find i and c)What value of i, will lead to vI*v2? ig. 1-34 For prob. 9 10 a)Use Kirchhoffs and Ohms laws in a step-by-step procedure to evaluate all the currents and voltages in the circuit of Fig 1-36. b)Calculate the power absorbed by each of the five circuit elements and show that the sum is zero Fig. 1-35 For prob. 10 Dalian maritime university
Basic Circuit Theory Chpter1 Problems 6 It is desired that the 5S conductance in Fig. 1-32 be replaced by a conductance G that will absorb exactly 100 W when used in that circuit. Find the larger value of G that will accomplish this. − 30mA + 1 kΩ x i 10mA 30 v x 2 i y i Fig. 1-31 For prob. 6. 7 a) Find the v, i, and the power delivered by the independent source in Fig. 1-33. b) Repeat if the arrow of the dependent source is reversed 1 v − + 20 1 v 13mA 3 mA 5 S S 6 S 10 8 Find i and i in the circuit of Fig. 1-34 x y Fig. 1-32 For prob.7. 10A 2Ω − i + 0.5 v 2Ω v Fig. 1-33 For prob. 8. 9 Referring to the circuit in Fig. 1-35, a) If i = 5A, find v1 and i . b ) If v1= 3V, find i and i . c) What value of i s will lead to v1 x y x y ≠ v ? 2 10 a ) Use Kirchhoff’s and Ohm’s laws in a step-by-step procedure to evaluate all the currents and voltages in the circuit of Fig.1-36. b) Calculate the power absorbed by each of the five circuit elements and show that the sum is zero. Fig. 1-34 For prob.9. 5Ω 1Ω 5A x i y i 1A − + 10Ω x i y i 2 v 1 + v − 10Ω 10Ω 10Ω 10Ω s i Fig. 1-35 For prob.10. DaLian Maritime University 2
Basic Circuit Theory ChpterI Problems Reference answers to Selected Problems 1:(a)10.0V(b)5.0A;(c)50.0W. 2:1=3A.V.=3VP=15W 4:(a)5.13A;(b)63.1W;(c)2.82A 5:v30=4V,P=0.04W 6:(a)-20V,-20mA,50mA;(b)26.7V,26.6mA,3.33mA 7:6.57S 8:(a)667V,3.33A,667W;(b)20V,10A,200W 9:i,=1A,i,=5A. 10:(a)i=2.5A,v =25 V;(b)1-600 mA, 1,=300 mA;(c)no value Dalian maritime university
Basic Circuit Theory Chpter1 Problems Reference Answers to Selected Problems 1: (a) 10.0 V; (b) 5.0 A; (c) 50.0 W. 2: i =-3 A, v =-3 V, P=15 W. x x 3: -20W. 4: (a) 5.13 A; (b) 63.1 W; (c) 2.82 A. 5: v 30 =4 V, P=-0.04 W. 6: (a) –20 V, -20 mA, 50 mA; (b) 26.7 V, 26.6 mA, 3.33 mA. 7: 6.57 S. 8: (a) 6.67 V, 3.33 A, 66.7 W; (b) 20 V, 10 A, 200 W. 9: i =1 A, i =5 A. x y 10: (a) i =2.5 A, v =25 V; (b) i =600 mA, i =300 mA; (c) no value. y x x y DaLian Maritime University 3