Basic circuit the I Find vx(t)in the circuit of Fig 8-30 if v si=20cos1000t V and V$2=20sin1000t V Fig. 8-30 For prob. 1 sh analysis to find ir (t) in the circuit sho Fig 8-31 Fig. 8-31 For prob. 12 Reference answers to Selec b ot ed problems (a)781∠-1287V,(b)9.89 2:647√2cos(100044)V 3:(a)110√2cos(10001337°)A;(b)3.29√2cos(10001705 4:(a)-4+2cos(10°t45°)V(b)2cos10°t135°)V 5:(a)464√2cos(1000+21.8°)V;(b)179√2cos(1000164°)A 8:1.58∠-1843 10:344∠23.6 707cos(1000t-45°)V 0t-76.0°)A Dalian maritime universiBasic Circuit Theory Chpter8 Problems 11 Find v X (t) in the circuit of Fig.8-30 if v =20cos1000t V and v =20sin1000t V. S1 S 2 + - + - 10mH 0.1mF s1 v 25Ω x v s 2 v Fig. 8-30 For prob.11. 12 Use mesh analysis to find i (t) in the circuit shown in Fig.8-31. X + - - + Fig. 8-31 For prob.12. x i 100t V 10cos 1Ω x v 1Ω 1Ω 0.04H 1Ω 0.04F Reference Answers to Selected Problems 1: (a) 7.81 V; (b) 9.8Ω . o ∠ −128.7 2: 6.47 2 cos(10000t+44 ) V. o 3: (a) 11.09 2 cos(10000t+33.7 ) A; (b) 3.29 o 2 cos(10000t+170.5 ) A. o 4: (a) –4+2 cos(10 t-45 ) V; (b) 2 cos(10 t+135 ) V. 6 o 6 o 5: (a) 46.4 2 cos(1000t+21.8 ) V; (b) 17.9 o 2 cos(10000t+63.4 ) A. o 7: (a) 15.8∠ −18.4 A, (1+j1) mS; (b) 1 mS, 0.5 o µ F. 8: 1.58∠ −18.43 . o 9: 65 and -61 , or -113 o and 13 . o o o 10: 34.4∠23.6 V. o 11: 70.7 cos(1000t-45 ) V. o 12: 1.213 cos(100t-76.0 ) A. o DaLian Maritime University 3