电路基础(贺洪江)第二版--第2章
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习题参考答案第1章习题1.1 t =7.5×105s1.2Q=6C1.3 I ab=30mA,I ba= -30 mA1.4U ab= -12V,U ba= 12V1.5 V O= -5V,V A=16V,V B=10V;U AB=6V,U BO=15V1.6 W=720kWh1.7 (1)I=6.818A;(2)W=1.125kWh;(3)0.776元1.8 (1)A汽车电池没电;(2)W=6kWh1.9 t =2500小时1.10(1)I=4A;(2)6666.7天1.11 I min=3.463A,I max=3.828A1.12 I=0.532mA1.14 (1)W=10.4kWh;(2)P=433.3W1.15 W=2333.3kWh1.16 (a)I=0.5A,P=1W;(b)I=2A,P=4W;(c)I= -1A,P= -2W;(d)I=1A,P=2W。
1.17 (1)I a= -1A;(2)U b= -10V;(3)I c= -1A;(4)P= -4mW。
1.18 (a)P=10 mW,吸收;(b)P=5sin2ωt W,吸收;(c)P= -10mW,产生;(d)P= -12W,产生。
第2章习题2.1 (a)20//20//20//20=5Ω;(b)300+1.8+(20//20)=311.8Ω(c)24k//24k+56k//56k=40k;(d)20+300+24k+(56k//56k)=52.32k2.2 R ab=10Ω2.3 S打开及闭合R ab=45Ω2.4 R0=11.25Ω2.5 (1)u2=400V;(2)u2=363.6V2.6 U0=8V,I0=0.2A2.7 (1)I1=0.136A,R1=806.67Ω;I2=0.364A,R2=302.5Ω(2)灯泡1超额定电压,灯泡2不能正常发光。
(U1=160V,U2=60V)2.8 P1=72 kW,P2=18kW2.9 U0/U S= -α/4;α=402.10 I1=3.2A,I2=4.8A,I3=2.4A,I4=9.6A2.11 I =0.1A ,U =2kV ,P =0.2kW 2.12 P =30W2.13 R 1=375Ω,R 2=257.1Ω 2.14 I =0.2A 2.15 U =1.333V 2.16 R =3Ω 2.17 P = -4W 2.18 P =9W (吸收) 2.19 I =5.77A 2.20 U =80V 2.21 U =14V 2.22 I S =9A ,I 0= -3A2.23 (a )U =7V ,I =3A ;(b )U =8V ,I =1A 2.24 AI 1191-=,AI 1112-=,AI 1183-=2.25 P S1= -112W (产生功率),P S2= -35.33W (产生功率) 2.26 I 1=2.5A ,I 2=0,I 1= -2.5A , 2.27 VU322=2.28 U 0/U S = -8 2.29 U 0= -0.187V第3章 习题3.1 U 0=0.4995V3.2 (a )0.5V ,0.5A ;(b )5V , 5A ;(c )5V ,0.5A 3.3 I =1A 3.4 U =4V3.5 I = -1.32A ,P =17.43W 3.6 U ab =6V 3.7 U x = -0.1176V 3.8 I =1.5625mA3.9 (a )R =50Ω,U OC =-20V ;(b )R =15Ω,U OC =42V 3.10 I =1A 3.11 U ab =15V3.12 (a )R =76.66Ω,U OC =8.446V ;(b )R =72.97Ω,U OC =0.81V(c )R =35.89k Ω,U OC =1.795V ;(d )R =1.3k Ω,U OC =89.63V3.13 (a )R ab =3.857Ω,U ab =4V ;(b )R bc =3.214Ω,U bc =15V 3.14 U =7.2V 3.15 I =3A3.16 R AB =15.95Ω,U AB = -1.545V 3.17 U =12.3V 3.18 I =0.1mA 3.19 I =0.5A3.20 (a )R =8Ω,I SC =2A ;(b )R =20Ω,I SC =2.5A 3.21 (1)R =10Ω,U OC =0;(2)R =10Ω,I SC =0;(3)I x =0 3.22 R =3.33Ω,I SC = -0.4A ,I =2.4A3.23 (a )R ab =2Ω,I ab =7A ;(b )R cd =1.5Ω,I cd =12.67A 3.24 (1)R =22.5Ω,U OC =40;(2)R =22.5Ω,I SC =1.78A 3.25 (1)R =3.33Ω,U OC =10;(2)R =3.33Ω,I SC =3A ; 3.26 R =2k Ω,U OC = -80V 3.27 R =3Ω,U OC = 3V 3.28 R =-12.5k Ω,I SC = -20mA3.29 (1)R L =5.366Ω,P max =20.7mW ;(2)R L =727Ω,P max =3.975mW 3.30 R =1.6Ω,P max =0.625W 3.31 R =7.2Ω,P max =1.25W 3.32 R =20Ω,P max =0.1W 3.33 R =8k Ω,P max =1.152W3.34 (1)R =12Ω,U OC =40V ;(2)I =2A ;(3)R L =12Ω;(4)P max =33.33W 3.35 R =1k Ω 3.36 P =42.6W 3.37 R =8Ω,U OC =12V3.38 (1)I =1.286A ;(2)P max =8.1W3.39 (1)平衡;(2)R =5.62k Ω,P max =18.92mW 3.40 (1)R =20Ω;(2)R =37.14Ω,I max =69.2mA 3.41 I =-1A 3.42 I =16.67mA3.43 R x =1Ω;(4)P max =2.25W第4章 习题4.1 (1)3100C C d u u d t-+=;(2)i (0+)=10mA ;(3)i =10e -1000t (mA );(4)i |t=1.5ms =2.23mA ;W=5×10-5J 4.2 u C (0+)=50V , i (0+)=12.5mA 4.3 u 1(0+)=-20V ,i (0+)=-2A4.5 0)0(05.0)0(==++C L u A i ,;sA ti L/1000d d 0-=+,sA tu C/105d d 40⨯=+4.6 (1)i 0(0+)=2A ,i 2(∞)=4A ;(2)i 0(t )=(4 -2e -1000t )A ;(3)t =2.3ms4.7 (1)i 1(0-)=0.2mA ,i 2(0-)=0.2mA ; (2)i 1(0+)=0.2mA ,i 2(0+)= -0.2mA ;(3)mAet i t61012.0)(-=;(4)mAet i t61022.0)(--=4.8 u c (0+)=20V , i 1(0+)=5 mA , i c (0+)=5mA 4.9 u c (0+)=24V ,i L (0+)=2A ,u (0+)=-8V 4.10 C =1μF4.11 τ充=R 2C ,τ放=(R 1+R 2)C4.12 i L =e -10t (A ),i 10Ω= i 20Ω=0.5e -10t (A ) 4.13 i L =1.6(1-e -10t )(A ),u L =3.2e -10t )(V )i 2.5Ω=(1.6-1.28e -10t )(A ),i 10Ω=0.32e -10t )(A ) 4.14 )(3)(91000V et u t-=,mAe t i t9100032)(-=4.15 i =0.5e -5t (A ),u = -2.5e -5t (V )4.16 (1)R =20k Ω,(2)C=0.05μF ,(3)τ=1ms ,(4)W =2.5×10-4J ,(5)t =0.112ms 4.17 u c (0+)=0,u R (0+)=20V ,i (0+)=2.857mA ,t =3.29ms 4.18 Aeet i tt)(133)(10005001---=4.19 i =8(1-e -2t )(mA ),u C =40e -2t (V ),u R =40(1-e -2t )(V ),i (τ)=5.06mA 4.20 ))(5.67120()(41000V et u tab -+=( 0≤t <100ms )))(857.12150()()(5.1710001V et u t t ab ---= (t 1=100ms ,t >100ms )4.21 i =5-10e -1.69t (A ) 4.22 U = -0.368 4.23 i =15-10e -500t (A ) 4.24 u L =15e -7.5t (V )4.25 u C =-10+20e -0.2t (V );t 0=3.46s4.26 u C =1+e -t (V )( 0≤t <1s );u C =0.5+0.868e -2(t-1)(V )(t ≥1s );4.27 u = -12-54e -25t (V ) 4.28 i =0.6+0.332e -2t (A ) 4.29 u C =4+0.8e -t (V )4.30 i L =0.833+4.167e -2t (A ) 4.32 8次,R=560kΩ第5章 习题5.1 (1)u ac =200sin ωt ,u bc =150sin (ωt+30o ),u dc =150sin (ωt+135o ),u ad =200sinωt -150sin (ωt+135o ) (2)ψu -ψi = -135o ,(3)ψu -ψi =45o5.2 (1) 7.13+j3.4 ; (2)6.9-j9.69 ; (3) -11+j19.1 ; (4) -69.28-j40 5.3 (1)10.63∠41.2°; (2) 150.95∠-144.57°; (3) 52∠-52°;(4) 3.22∠97.3° 5.4 (1)13.08∠126.6°; (2) 58.56∠-78.68° 5.5 (1)(a )5∠53.13°, (b) 6∠105° ;(2)(a )10sin (ωt -53.13o ),(b )10sin (ωt +143.13o );(c )-10cos (ωt ) 5.6 u 14=107.79V ;U 14=91V 5.7 mAt t i R )601000sin(23)(︒+=;At t i L )301000sin(26.0)(︒-=;mAt t i C )1501000sin(212)(︒+=5.8 (1)U m =170V ;(2)f =60Hz ;(3)ω=120πrad/s ;(4)-5π/6;(5)-150º;(6)16.67ms ;(7)t =9.03ms ;(8)u =170sin (120πt+60º)V ;(9)t =6.94ms ;(10)t =9.03ms 5.9 R =1Ω,u =14.1sin (314t+30º)V5.10 I =4.67A ,Q=1027.6Var ,i =6.6sin (314t-90º)A ;I =2.34A ,Q=513.8Var ,i =3.3sin (628t-90º)A 5.11 I =0.55A ,Q=121.6V ar ,i =0.78sin (314t+90º)A ;I =1.1A ,Q=243.1V ar ,i =1.56sin (628t+90º)A 5.12 U L =69.82V5.13 A I ︒∠=11.23707.0 ;i =sin (8000t+23.11º)A ; 5.14 V t u S )7.51000sin(205.10︒+= 5.15 (1)At i )87.36314sin(222︒+=,容性;(2)A t i)87.361256sin(222︒-=,感性5.16 At i)87.661000sin(210︒+=5.17 (1)AI m︒∠=4510 ,VU m ︒∠=45100ab ,VU m︒∠=135200bc ,VU m︒-∠=45100cd(3)i =10sin (20t +45o )A , u ab =100sin (20t +45o )V ,u bc =200sin (20t +135o )V , u cd =100sin (20t -45o )V5.18 AI ︒-∠=57.7132.61,AI ︒∠=0102,AI ︒∠=90103,AI ︒∠=43.1877.1005.19 (1)(a )U =67.1V ;(b )U =30V ;(c )U =25V(2)(a )U 1=12V ,U 2=0;(b )U 1=12V ,U 2=0;(c )U 1=0,U 2=0,U 3=12V 5.20 R =2.76k Ω 5.21 U 2=24V5.22 I =17.32A ,R =6Ω,X 2=2.89Ω,X C =11.55Ω 5.24 R =40Ω,L =15H5.25 I =5A ,Z =33.33-25j (Ω) 5.26 19.6819.7I A =∠-︒ ,198.433.43U V =∠︒ ,2196.856.59U V =∠︒ 5.27 U =113.2V ,I =0.377A第6章 习题6.1 (1)P =3400W ,Q =0;(2)P =155.29W ,Q =579.56Var ;(3)P = -2137.63W ,Q = -5873.1V ar 6.2 P us =7.5W ,P 4Ω=7.5W ,P 2Ω=2.5W 6.3 P =126.19W ,Q =180.2Var ,S =220V A 6.4 459.0cos 1=ϕ(超前)6.5 (1)P =60W ,Q = -80Var ,6.0cos =ϕ(超前)6.6 (1)Z 1=192∠53.13o Ω,Z 2=57.6∠-53.13o Ω,Z 3=320Ω(2)Z =51.83∠-30.26o Ω,864.0cos =ϕ(超前)6.7 P =573.19W 6.8 533.0cos =ϕ6.9 P =7.33kW ,Q = 1.197kVar ,987.0cos =ϕ6.10 Z =2.867∠38.74o Ω ,S =15.38kV A 6.11 818.0cos =ϕ,C =124.86μF6.12 (1)Q =32.91kVar ,S =86.51KV A ;(2)9248.0cos =ϕ;(3)I = 157.3A6.13 899.0cos =ϕ,C =574μF6.14 C =19.52μF 6.15 I = 16.1A ,982.0cos =ϕ,C =43.4μF6.16 9967.0cos =ϕ,P =1886.75kW6.17 64.0cos =ϕ,P =295.1W ,C =130.4μF6.18 (1)C =2.734mF ;(2)C =6.3mF 6.19 Z =75-j103.55(Ω)6.20 (1)Z =40-j8(Ω);(2)P =66.61W 6.21 341.56元6.22 f =2.813kHz ,P =0.432W 6.23 I = 17.19A ,P =1559.77W第7章 习题7.1 (a )a 、d 同名端,或b 、c 同名端;(b )a 、c 、e 同名端,或b 、d 、f 同名端 7.2 2、3端连接,1、4端接220V 电源 7.3 (1)M=4mH ;(2)k=0.75;(3)M=8mH 7.4 开关闭合电压表正偏,开关打开电压表反偏 7.5 u 34 =31.4sin (314t -120º)V7.6 (a )u 1 =cos t V ,u 2 = -0.25cos t V ;(b )u 1 =2sin t V ,u 2 =2sin t V 7.7 M=52.87mH 7.8 (a )221L M L L -=;(b )221L M L L-=7.9545a bU V =︒ ,Z ab =j1000Ω,45ab I m A =-︒7.10 U ab =15V 7.11 At i )1510sin(231︒-=,i 2=07.12 n =32 7.13 N 2=100 7.14 P =315W7.15 n =2,I 1=41.67A ,I 2=83.33A 7.16 n =110,I 1=7.567mA7.17 R =10Ω,C =0.159nF ,L =0.159mH ,Q =100 7.18 I 2=12A7.19 (1)R =10Ω,C =3.19nF ,L =0.8mH ;(2)Q =50 7.20 L =160mH , Q =4007.21 (1)R =4Ω,C =0.25μF ,L =40mH ,Q =100 ;(2)C (132.63μF ~331.57μF ) 7.22 (1) f (0.541MHz ~1.624MHz );(2)Q (68~204.1) 7.23 I 1=22.738nA ,I 2=2.145n A 7.24 f 0=899.53kHz ,f 0=937.83kHz第8章 习题8.1 (1)12730BU V=∠-︒ ,127150CU V=∠-︒ ;(2)22060ACUU V -=∠︒ ;(3)12790BCU U V +=∠-︒8.2 (1)V U V U V U CB A ︒∠=︒-∠=︒∠=1202201202200220 ,,(2),,,A I A I A I CB A ︒∠=︒∠=︒-∠=57.5686.1957.17686.1943.6386.19 8.3 (1)略;(2)I l =6.818A ,I N =0;(3)U 1=95.3V ,U 2=285V 8.4 I l =1.174A ,U l =376.49V 8.5 I l =30.1A ,I p =17.37A 8.6 △ I l =66A ,Y I l =22A , 8.7 △连接,I l =65.82A ,I p =38A 8.8 I N =16.1A ,中线不能去掉。
《电路分析基础》各章习题参考答案第1章习题参考答案1-1 (1) 50W;(2) 300 V、25V,200V、75 V;(3) R2=12.5Ω,R3=100Ω,R4=37.5Ω1-2 V A=8.5V,V m=6.5V,V B=0.5V,V C=−12V,V D=−19V,V p=−21.5V,U AB=8V,U BC=12.5,U DA=−27.5V1-3 电源(产生功率):A、B元件;负载(吸收功率):C、D元件;电路满足功率平衡条件。
1-4 (1) V A=100V,V B=99V,V C=97V,V D=7V,V E=5V,V F=1V,U AF=99V,U CE=92V,U BE=94V,U BF=98V,U CA=−3 V;(2) V C=90V,V B=92V,V A=93V,V E=−2V,V F=−6V,V G=−7V,U AF=99V,U CE=92V,U BE=94V,U BF=98V,U CA=−3 V1-5 I≈0.18A ,6度,2.7元1-6 I=4A,I1=11A,I2=19A1-7 (a) U=6V,(b) U=24 V,(c) R=5Ω,(d) I=23.5A1-8 (1) i6=−1A;(2) u4=10V,u6=3 V;(3) P1=−2W发出,P2 =6W吸收,P3 =16W吸收,P4=−10W发出,P5=−7W发出,P6=−3W发出1-9 I=1A,U S=134V,R≈7.8Ω1-10 S断开:U AB=−4.8V,U AO=−12V,U BO=−7.2V;S闭合:U AB=−12V,U AO=−12V,U BO=0V 1-11 支路3,节点2,网孔2,回路31-12 节点电流方程:(A) I1 +I3−I6=0,(B)I6−I5−I7=0,(C)I5 +I4−I3=0回路电压方程:①I6 R6+ U S5 +I5 R5−U S3 +I3 R3=0,②−I5 R5−U S5+ I7R7−U S4=0,③−I3 R3+ U S3 + U S4 + I1 R2+ I1 R1=01-13 U AB=11V,I2=0.5A,I3=4.5A,R3≈2.4Ω1-14 V A=60V,V C=140V,V D=90V,U AC=−80V,U AD=−30V,U CD=50V1-15I1=−2A,I2=3A,I3=−5A,I4=7A,I5=2A第2章习题参考答案2-1 2.4 Ω,5 A2-2 (1) 4 V,2 V,1 V;(2) 40 mA,20 mA,10 mA2-3 1.5 Ω,2 A,1/3 A2-4 6 Ω,36 Ω2-5 2 A,1 A2-6 1 A2-7 2 A2-8 1 A2-9 I1 = −1.4 A,I2 = 1.6 A,I3 = 0.2 A2-10 I1 = 0 A,I2 = −3 A,P1 = 0 W,P2 = −18 W2-11 I1 = −1 mA,I2 = −2 mA,E3 = 10 V2-12 I1 = 6 A,I2 = −3 A,I3 = 3 A2-13 I1 =2 A,I2 = 1A,I3 = 1 A,I4 =2 A,I5 = 1 A2-14 V a = 12 V ,I1 = −1 A,I2 = 2 A2-15 V a = 6 V,I1 = 1.5 A,I2 = −1 A,I3 = 0.5 A2-16 V a = 15 V,I1 = −1 A,I2 = 2 A,I3 = 3 A2-17 I1 = −1 A,I2 = 2 A2-18 I1 = 1.5 A,I2 = −1 A,I3 = 0.5 A2-19 I1 = 0.8 A,I2 = −0.75 A,I3 = 2 A,I4 = −2.75 A,I5 = 1.55 A2-20 I3 = 0.5 A2-21 U0 = 2 V,R0 = 4 Ω,I0 = 0.1 A2-22 I5 = −1 A2-23 (1) I5 = 0 A,U ab = 0 V;(2) I5 = 1 A,U ab = 11 V2-24 I L = 2 A2-25 I S =11 A,R0 = 2 Ω2-26 18 Ω,−2 Ω,12 Ω2-27 U=5 V2-28 I =1 A2-29 U=5 V2-30 I =1 A2-31 10 V,180 Ω2-32 U0 = 9 V,R0 = 6 Ω,U=15 V第3章习题参考答案3-1 50Hz,314rad/s,0.02s,141V,100V,120°3-2 200V,141.4V3-3 u=14.1sin (314t−60°) V3-4 (1) ψu1−ψu=120°;(2) ψ1=−90°,ψ2=−210°,ψu1−ψu2=120°(不变)3-5 (1)150290VU=∠︒,25020VU=︒;(2) u3ωt+45°)V,u4ωt+135°)V3-6 (1) i1=14.1 sin (ωt+72°)A;(2) u2=300 sin (ωt-60°)V3-7 错误:(1) ,(3),(4),(5)3-8 (1) R;(2) L;(3) C;(4) R3-9 i=2.82 sin (10t−30°) A,Q≈40 var3-10 u=44.9sin (314t−135°) V,Q=3.18 var3-11 (1) I=20A;(2) P=4.4kW3-12 (1)I≈1.4A, 1.430AI≈∠-︒;(3)Q≈308 var,P=0W;(4) i≈0.98 sin (628t−30°) A3-13 (1)I=9.67A,9.67150AI=∠︒,i=13.7 sin (314t+150°) A;(3)Q=2127.4 var,P=0W;(4)I C=0A3-14 (1)C =20.3μF ;(2) I L =0.25A ,I C =16A第4章 习题参考答案4-1 (a) 536.87Z =∠︒Ω,0.236.87S Y =∠-︒;(b) 45Z =-︒Ω,45S Y =︒ 4-2 Y =(0.06-j0.08) S ,R ≈16.67 Ω,X L =12.5 Ω,L ≈0.04 H 4-3 R 600V U =∠︒,L 8090V U =∠︒,S 10053.13V U =∠︒ 4-4 2036.87I =∠-︒4-545Z =︒Ω,10A I =∠︒,R 1000V U =∠︒,L 12590V U =∠︒,C 2590V U =∠-︒ 4-645S Y =︒,420V U =∠︒,R 20A I =∠︒,L 0.2290A I =∠-︒,C 1.2290A I =∠︒4-7 10245A I =∠︒,S 10090V U =∠︒ 4-8 (a) 30 V ;(b) 2.24 A 4-9 (a) 10 V ;(b) 10 A 4-10 (a) 10 V ;(b) 10 V 4-11 U =14.1 V4-12 U L1 =15 V ,U C2 =8 V ,U S =15.65 V4-13 U X1 =100 V ,U 2 =600 V ,X 1=10 Ω,X 2=20 Ω,X 3=30 Ω4-14 45Z =︒Ω,245A I =∠-︒,120A I =∠︒,2290A I =∠-︒,ab 0V U =4-15 (1)A I =,RC Z =,Z =Ω;(2)10R =Ω,C 10X =Ω 4-16 P = 774.4 W ,Q = 580.8 var ,S = 968 V·A 4-17 I 1 = 5 A ,I 2 = 4 A4-18 I 1 = 1 A ,I 2 = 2 A ,526.565A I =∠︒,26.565V A 44.72S =∠-︒⋅4-19 10Z =Ω,190A I =∠︒,R252135V U =∠︒,10W P = 4-20 ω0 =5×106 rad/s ,ρ = 1000 Ω,Q = 100,I = 2 mA ,U R =20 mV ,U L = U C = 2 V 4-21 ω0 =104 rad/s ,ρ = 100 Ω,Q = 100,U = 10 V ,I R = 1 mA ,I L = I C = 100 mA 4-22 L 1 = 1 H ,L 2 ≈ 0.33 H第5章 习题参考答案5-3 M = 35.5 mH5-4 ω01 =1000 rad/s ,ω02 =2236 rad/s 5-5 Z 1 = j31.4 Ω,Z 2 = j6.28 Ω 5-6 Z r = 3+7.5 Ω 5-7 M = 130 mH 5-8 2245A I =∠︒ 5-9 U 1 = 44.8 V5-10 M 12 = 20 mH ,I 1 = 4 A 5-11 U 2 = 220 V ,I 1 = 4 A 5-12 n = 1.95-13 N 2 = 254匝,N 3 = 72匝 5-14 n = 10,P 2 = 31.25 mW第6章 习题参考答案6-1 (1) A 相灯泡电压为零,B 、C 相各位为220V6-3 I L = I p = 4.4 A ,U p = 220 V ,U L = 380 V ,P = 2.3 kW 6-4 (2) I p = 7.62 A ,I L = 13.2 A6-5 A 、C 相各为2.2A ,B 相为3.8A 6-6 U L = 404 V6-7 A N 20247U ''=∠-︒V6-8 cos φ = 0.961,Q = 5.75 kvar 6-9 33.428.4Z =∠︒Ω6-10 (1) I p = 11.26 A ,Z = 19.53∠42.3° Ω; (2) I p = I l = 11.26 A ,P = 5.5 kW 6-11 U l = 391 V6-12 A t 53.13)A i ω=-︒B t 173.13)A i ω=-︒C t 66.87)A i ω=+︒6-13 U V = 160 V6-14 (1) 负载以三角形方式接入三相电源(2) AB 3.8215A I =-︒,BC 3.82135A I =-︒,CA 3.82105A I =︒A 3.8645A I =∠-︒,B 3.86165A I =∠-︒,C 3.8675A I =∠︒6-15 L = 110 mH ,C = 91.9 mF第7章 习题参考答案7-1 P = 240 W ,Q = 360 var 7-2 P = 10.84 W7-3 (1)() 4.7sin(100)3sin3A i t t t ωω=+︒+ (2) I ≈3.94 A ,U ≈58.84 V ,P ≈93.02 W7-4 m12π()sin(arctan )V 2MU L u t t zRωωω=+-,z =7-5 直流电源中有交流,交流电源中无直流7-6 U 1=54.3 V ,R = 1 Ω,L = 11.4 mH ;约为8%,(L ’ = 12.33 mH )7-7 使总阻抗或总导纳为实数(虚部为0)的条件为12X R R R ==7-8 19.39μF C =,275.13μF C = 7-9 L 1 = 1 H ,L 2 = 66.7 mH 7-10 C 1 = 10 μF ,C 2 = 1.25 μF第8章 习题参考答案8-6 i L (0+)=1.5mA ,u L (0+)=−15V8-7 i 1(0+)=4A ,i 2(0+)=1A ,u L (0+)=2V ,i 1(∞)=3A ,i 2(∞)=0,u L (∞)=0 8-8 i 1(0+)=75mA ,i 2(0+)=75mA ,i 3(0+)=0,u L1(0+)=0,u L2(0+)=2.25V8-9 6110C ()2e Ati t -⨯= 8-10 4L ()6e V t u t -=8-11 6110C ()10(1e )V t u t -⨯=-,6110C ()5e A t i t -⨯= *8-12 500C ()115e sin(86660)V t u t -=+︒ 8-13 10L ()12e V t u t -=,10L ()2(1e )A t i t -=- 8-14 21R S ()eV t R Cu t U -=-,3R S (3)e V u U τ-=-8-15 (1) τ=0.1s ,(2) 10C ()10e V t u t -=,(3) t =0.1s 8-16 510C ()109e V t u t -=-8-17 10L ()5e A t i t -=8-18 (a)00()1()1(2)f t t t t t =---;(b)00000()1()1()[1()1(2)]1()21()1(2)f t t t t t t t t t t t t t =------=-⨯-+- 8-19 0.50.5(1)C ()[5(1e )1()5(1e )1(-1)]V t t u t t t ---=--- 8-20 u o 为三角波,峰值为±0.05V*8-21 临界阻尼R ,欠阻尼R ,过阻尼R *8-22 12666L ()[(1e )1()(1e)1(1)2(1e)1(2)]t t ti t t t t -----=-+-----。
第一章 答案 1-3 求电路中未知的u 、i 、R 或p 的值。
解:(a) i = -0.5A ;(b) u = -6V ; (c) u = -15V t e -; (d) i = 1.75cos2t A ; (e) R =3Ω; (f ) p = 1.8 2cos 2t W .1-13 图示电路中的电源对外部是提供功率还是吸收功率?其功率为多少?解:(a) 供12W ; (b) 吸40W ;(c) 吸2W ;(d) 2V 供26W ;5A 吸10W (总共向外供16W )。
1-15 求图示各电路中电压源流过的电流和它发出的功率。
解:(a) i = 0.5A,p 发 = 1W(b) i = 2A, p 发 = 4W ;(c) i = - 1A, p 发= - 2W ; (d) i = 1A, p发= 2W.1-18 (1) 求图(a)电路中受控电压源的端电压和它的功率;(2) 求图(b)电路中受控电流源的电流和它的功率;(3) 试问(1)、(2)中的受控源可否用电阻或独立源来替代,若能,所替代元件的值为多少?并说明如何联接。
解:W 72 ,V 242 )1(1==p U (发出);(a)5Ω7cos2t V +- R-6t 15+12e V+ -(d) (e) ( f )-6t p =?-t (b) (c)(a) (b)(c)(d)(b)(c)(d)(a)(b)(a)W 15 ,A 36 )2(2==p I (吸收);(3) 图(a)中的VCVS 可用下正上负的24V 电压源替代; 图(b)中的CCCS 可用3A ↓的电流源或(5/3)Ω的电阻替代。
1-19 试用虚断路和虚短路的概念求图示两电路中的 i 1 、i 2 及u 0 的表达式。
解:(a) i 1 = 0,u 0 = U S ,i 2 = U S /L (b) i 1 = i 2 = U S /R 1 ,u 0 = - R f U S /R 1 .1-22 求图示各电路中的u ab ,设端口a 、b 均为开路。
习题11.1、2A 1.2、VU V U BA AB 150150=-=1.3、VU V U V U AC BC AB 1688===C B A V B =2V , V C =5V 1.6、VU d V U c V U b V U a 5)(5)(5)(5)(-==-==1.7、AI d A I c m A I b m A I a 2.0)(2.0)(4)(4)(=-=-==1.8、,吸收功率。
,吸收功率。
,发出功率。
01.0)(012)(012)(W >P c W >P b W <P a ==-= 1.9、W P W P W P i L S 122840==-=,, 1.10、16.67小时 1.11、1000V ,7.1mA1.12、W P W P 3.1191021==,,不安全。
1.13、12度,27.27A1.14、不会熔断;回熔断。
1.15、Ω==5.05.10r V E , 1.16、WP A I c W P V U b W P V U a ab ab 166.100168======,)(,)(,)( 1.17、W P P P W P W P W P A I I I A I A I A I SS S SS S S S S S S S I I I U U U I I I U U U 10201055200101051201055.02001015=====-======-=)()()(,)(,)(,)(;)()()(;)(,)(,)(1.18、W P W P W P WP A I I I A I I I SS S S S S S S S S I I I U I I I U U U 103100131041311001011100101-=-=-========)(,)(,)(;)()()(;)()()(1.19、1354-=-=U V U , 1.20、1mA 1.21、2V 1.22、(a) V U V U V U ba b a 6.9,2.74.2==-=, (b) V U V U V U ba b a 5,61-=-=-=, 1.23、VV V V S V V V V S B A B A 5142-==-==,断开时:,接通时:1.24、(a )P=8W (b )75W 1.25、,功率平衡。
电工基础习题册标准答案(第二版)全国中等职业技术2010-04-12 02:05:34| 分类:电工基础2版习题| 标签:|字号大中小订阅全国中等职业技术(电子类)专业通用教材第二章直流电路§2-1 电阻的连接一、填空题1、在电路中,将两个或两个以上的电阻依次连接构成中间无分支的连接方式叫做电阻的串联。
电阻串得越多,等效电阻阻值越大;串联的电阻阻值越大,分得电压越大,消耗的功率越多。
2、电阻串联,可以用来构成分压器以提供几种不同的电压,也可限制和调节电路中电流的大小,还可以扩大电压表的量程。
3、在电路中,将两个或两个以上的电阻连接在、在电路中,将两个或两个以上的电阻连接在相同两点之间的连接方式叫电阻的并联,电阻并得越多,等效电阻越小;并联的电阻阻值越大,分得电流越小,消耗功率少。
4、电阻并联可以用来获得阻值较小的电阻,还可以扩大电流表的量程。
5、需要分压时,可选用电阻的串联;需要分流时可采用电阻的并联。
6、在电路中,既有电阻串联又有电阻并联的连接方式叫做电阻的混联。
在混联电路中为了便于计算电路等效电阻,可采用画等效电路图的方法,把原电路整理成易于判别串、并联关系的电路,然后进行计算。
7、在下列各图中,指出电流表或电压表的读数(电流表内阻无穷小、电压表内阻无穷大)。
(1)在图2-1中,PV1的读数为4V ,PV2的读数为12V ,PV3的读数为24V 。
(2)在图2-2中,PA1的读数为3A ,PA2的读数为2A ,PV的读数为12V 。
(3)在图2-3中,PV1的读数为11.2V ,PV2的读数为8V ,PA的读数为 1.6A 。
二、判断并改错1、在电阻的串联电路中,总电阻上的电压一定大于其中任何一个电阻上的电压。
(√)2、电阻并联后的总电阻一定小于其中任何一个电阻的阻值。
(√)3、在串联电路中,电阻串得越多,消耗的功率越大;在并联电路中,电阻并联得越多,消耗的功率越小。
(×)4、功率大的电灯一定比功率小的电灯亮。
《电路基础(第2版)》习题答案习题11.1、2A 1.2、VU V U BA AB 150150=-=1.3、VU V U V U AC BC AB 1688===C B A V B =2V , V C =5V 1.6、VU d V U c V U b V U a 5)(5)(5)(5)(-==-==1.7、AI d A I c m A I b m A I a 2.0)(2.0)(4)(4)(=-=-==1.8、,吸收功率。
,吸收功率。
,发出功率。
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1.13、12度,27.27A1.14、不会熔断;回熔断。
1.15、Ω==5.05.10r V E , 1.16、WP A I c W P V U b W P V U a ab ab 166.100168======,)(,)(,)( 1.17、W P P P W P W P W P A I I I A I A I A I SS S SS S S S S S S S I I I U U U I I I U U U 10201055200101051201055.02001015=====-======-=)()()(,)(,)(,)(;)()()(;)(,)(,)(1.18、W P W P W P WP A I I I A I I I SS S S S S S S S S I I I U I I I U U U 103100131041311001011100101-=-=-========)(,)(,)(;)()()(;)()()(1.19、1354-=-=U V U , 1.20、1mA 1.21、2V 1.22、(a) V U V U V U ba b a 6.9,2.74.2==-=, (b) V U V U V U ba b a 5,61-=-=-=, 1.23、VV V V S V V V V S B A B A 5142-==-==,断开时:,接通时:1.24、(a )P=8W (b )75W 1.25、,功率平衡。