Basic Circuit Theory Chpter10 Problems I The physical construction of three pairs of coupled coils is shown in Fig. 10-16. Show two different possible locations for the two dots on each pair of coils 2 For the circuit illustrated in Fig. 10-17(a) find I and VR:(b) repeat if a 6Q2 resistor is connected between the terminals at the right 6 For pr 4H k=0.71x F-3H 5H (20H 8H C18H @=5rad/s Fig. 10-17 For prob. 2 Fig. 10-18 For prob. 3 3 Let 1,=5 sin 40t A and 12=2 sin 40t A in Fig. 10-18. Find i,(t)and v(t). Is the direction of average power flow to the right or to the left in the center of the circuit? 4 If the circuit shown in Fig. 10-19 is series resonant at @.=lk rad/s find C and Q k=0.5 IHD C4H 25mH Fig. 10-19 For prob. 4 Fig 10-20 For prob.5 5 In Fig. 10-20, let Z, be a 4 u F capacitor having an-j25Q2 and calculate Z in when k=(a)0; (b)0.5;(c)1 6 Find the average power delivered to each resistor in the circuit shown in Fig. 10-21 129 00V 5Q 2Q Fig. 10-21 For prob. 6 Fig. 10-22 For prob. 7 DaLian Maritime UniversityBasic Circuit Theory Chpter10 Problems 1 The physical construction of three pairs of coupled coils is shown in Fig. 10-16 . Show two different possible locations for the two dots on each pair of coils. 2 For the circuit illustrated in Fig. 10-17 (a) find and ; (b) repeat if a 6Ω resistor is connected between the terminals at the right. • A I • V B 1 2 4 3 1 4 2 3 1 4 2 3 (a) (b) (c) Fig. 10-16 For prob.1. - + - + 10Ω 100 4H ω = 5rad / s / 0°V 3H 5H I A • V B • - + x i 1 i 2 i v k = 1 5H k = 0.7 20H 8 H H 18 Fig. 10-17 For prob.2. Fig. 10-18 For prob.3. 3 Let i 1= 5 sin 40t A and i = 2 sin 40t A in Fig. 10-18. Find i (t) and v(t). Is the direction of average power flow to the right or to the left in the center of the circuit? 2 x 4 If the circuit shown in Fig. 10-19 is series resonant at ω r = 1k rad/s find C and Q. + - C V s 4H 10Ω • 1H 10Ω k = 0.5 20Ω 2Ω in 25mH Z Z L k 100mH Fig. 10-19 For prob.4. Fig. 10-20 For prob.5. 5 In Fig. 10-20, let Z be a 4 L µ F capacitor having an – j25Ω and calculate Z in when k = (a) 0; (b) 0.5; (c) 1. 6 Find the average power delivered to each resistor in the circuit shown in Fig. 10-21. - - + - + + 1 • V 2 • V / 0°V x 120 1 : a 12 Ω 36 Ω 5 : 1 y + - 2Ω 5Ω 3 Ω 30/ 0°V 1 : 2 Fig. 10-21 For prob.6. Fig. 10-22 For prob.7. DaLian Maritime University 1