Basic Circuit Theory Chpter10 Problems 7(a) In the circuit of Fig. 10-22 find the turns ratio a and the average power delivered to each resistor.(b)If there is no voltage between points x and y, determine V, and v2 8 It is desired to connect a resistor between points a and b in Fig. 10-23. (a)What is the maximum power that can be delivered to this resistor and what should the value of resistance be?(b) Repeat for the where the dot is at the lower terminal of the secondary winding 90ga10910:119 1000° 2kQ 00°V 3Ω √2 0=NoRad/s Fig. 10-23 For prob. 8 Fig. 10-24 For prob. 9and 10 9 In the circuit shown in Fig. 10-24, find the average power absorbed by (a) the source; (b)each of the two resistors; (c)each of the two inductances; (d) the mutual inductance 10(a) Find the Thevenin equivalent network faced by the 2 k Q2 resistor in the circuit of Fig. 10-24 (b)What is the maximum average power that can be drawn from the network by an optimum value of z,(instead of kQ2)? Reference answers to Selected Problems l:(a)l-3or2-4;(b)2-3orl-4,(c)2-3or1-4 2:(a)3.7142A,374∠218°V(b4.296∠-589°A,159∠-17.1V 3: 2.11 sin 40t A.-286 cos 40t 4:1.333FF,462. 5:20+j10009,20+722.292,20j119 6:P3=119.7W,P2=199W,Ps=499W 7:(a)a=1,p12108W,P36=324W,(b)V1=V2=108∠180°V 8:(a)6429,562W,(b)85892,564W 9:(a)-10.4W;(b)Ps0=563,P20004.7w,(c) 0 each;(d)0 0:(a)oc=145.5∠-1666°V,Zm=1059+76.592;(b)25W DaLian Maritime UniversityBasic Circuit Theory Chpter10 Problems 7 (a) In the circuit of Fig. 10-22 find the turns ratio α and the average power delivered to each resistor. (b) If there is no voltage between points x and y, determine and . • V1 • V2 8 It is desired to connect a resistor between points a and b in Fig. 10-23. (a) What is the maximum power that can be delivered to this resistor and what should the value of resistance be? (b) Repeat for the where the dot is at the lower terminal of the secondary winding. + - 50Ω 3H ω 2 100 / 0°V = 100rad/s 2kΩ + 2 H 5 H - 90 Ω a 10Ω 50 / 0°V 3 Ω 10 : 1 1Ω b Fig. 10-24 For prob.9and 10. Fig. 10-23 For prob.8. 9 In the circuit shown in Fig. 10-24, find the average power absorbed by (a) the source; (b) each of the two resistors; (c) each of the two inductances; (d) the mutual inductance. 10 (a) Find the Thevenin equivalent network faced by the 2 kΩ resistor in the circuit of Fig. 10-24. (b) What is the maximum average power that can be drawn from the network by an optimum value of Z (instead of 2 k )? L Ω Reference Answers to Selected Problems 1: (a) 1—3 or 2—4; (b) 2—3 or 1—4, (c) 2—3 or 1—4. 2: (a) 3.714 A, 37.14 V;(b)4.296 A, 15.96 V. 2 o ∠21.8 o ∠ − 58.9 o ∠ −17.1 3: 2.11 sin 40t A, -286 cos 40t. 4: 1.333F µ F, 46.2. 5: 20+j1000Ω , 20+j722.2Ω , 20-j111Ω . 6: P =119.7W, P 2 =19.9W, P =49.9W, 3 5 7: (a) α =1, p12 108W, P =324W; (b) V1=V =108 V. 36 2 o ∠180 8: (a) 64.2Ω , 5.62W; (b) 85.8Ω , 56.4W. 9: (a) –10.4W; (b) P =5.63, P =4.77W; (c) 0 each; (d) 0. 50 2000 10: (a) =145.5 V, Z =105.9+j76.5 • V OC o ∠ −166.6 th Ω ; (b) 25W. DaLian Maritime University 2