Electric Circuits Dorf V4 Solutions

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END NODE 1) 4) 0 2 5 0 3 5 3 0 6 6 2 3 1 3 2 1 4 1 4 2 ( ( VOLTAGE -1.2332 1.1621 ( ( NODE VOLATAGE 2) -1.6364 5) -1.7154 ( ( NODE VOLTAGE 3) -2.8379 6) -2.8379 VOLTAGE SOURCE CURRENTS NAME CURRENT V7 -6.008E-O.1 V9 -5.613E-0.1 SP 4-5 Input File: R1 R2 R3 R4 R5 V1 V2 I1 Vsc1 H1 0 1 1 3 4 2 6 5 1 3 5 6 2 4 5 3 4 4 0 6 6000 3000 2000 2000 8000 dc 16 dc 8 dc 1m 0 Vsc1 4 .dc V1 16 16 1 .print dc I(Vsc1) .end Output: V1 I(Vsc1) 1.600E+1 1.684E-03  SP 4-6 Input File: R1 0 1 R2 3 4 R3 4 10 R4 10 7 R5 6 7 R6 10 9 R7 7 8 V1 9 11 V2 2 1 Vsc1 2 3 Vsc2 11 0 Vsc3 5 6 H1 1 10 F1 8 9 E1 4 5 .dc V1 6 6 1 .print dc I Vsc2 .end Output: V1 I(Vsc2) 6.000+E00 -6.706E-01 1 7 5 3 4 2 6 dc 6 dc 10 0 0 0 Vsc2 4 Vsc1 2 7 83 SP 4-7 Spice deck corresponding to Problem SP 4-7 R1 R2 VSC3 F3 R4 R5 I6 .END NODE ( ( 1) 4) 1 4 1 2 2 3 3 0 2 4 0 3 0 1 2 1 0 VSC3 2 2 DC 4 3 VOLTAGE 8.6667 8.6667 NODE ( 2) VOLTAGE 10.0000 NODE ( 3) VOLTAGE 2.0000 VOLTAGE SOURCE CURRENTS NAME CURRENT VSC3 -1.333E+00  9HULILFDWLRQ3UREOHPV 93 $SSO\.&/DWQRGHE Y Y Y Y                            z     E D E F 7KHJLYHQYROWDJHVGRQRWVDWLVI\WKH.&/HTXDWLRQDWQRGHE7KH\DUHQRWFRUUHFW 93 $SSO\.&/DWQRGHD  FG Y H IJ    Y  K F  IJ       G HK  E Y  D D    z 7KHJLYHQYROWDJHVGRQRWVDWLVI\WKH.&/HTXDWLRQDWQRGHD7KH\DUHQRWFRUUHFW 93 :ULWLQJDQRGHHTXDWLRQ   VR        5 5 5    FG  IJ          H5 K 5 5      7KHUHDUHRQO\WKUHHFDVHVWRFRQVLGHU 6XSSRVH5  N:DQG5   N:7KHQ                5 5  5  7KLVFKRLFHRIUHVLVWDQFHYDOXHVFRUUHVSRQGVWREUDQFKFXUUHQWVWKDWVDWLVI\.&/ 7KHUHIRUHLWLVLQGHHGSRVVLEOHWKDWWZRRIWKHUHVLVWDQFHDUHNWDQGWKHRWKHU UHVLVWDQFHLVNW7KHNWLV5  'HVLJQ3UREOHPV '3 6LPSOLI\WR .&/DWQRGHD Y D DWQRGHE  QRZY ED  Y E  YD Ÿ Y E   YD   YD  FG    IJ   Y   H  K  F  I G  JY L  H  K E E V    3OXJJLQJ  LQWR  \LHOGVY D  9 Y E 9 WKXVIURP  JHW L V  $ '3 L L $ 6XSHUPHVK  Y V  L  L    L   L   L    Y   L  L   PHVK L   L  L    L   L   L  L     b g DOVRL  L    &RPELQLQJ     \LHOGVL  $L  $ IURP  Y V 9 '3 * L YF 6XSHUQRGH Y D *  *   Y E  *  *   *Y F DOVRY E  Y D  &RPELQLQJ     \LHOGVY D      Y D Y  Y Y D Y Y     ŸYD   Y  Y       L    6  *Y  Y ?Y Y    VROHWY   9DQGY 9 RQHVROXWLRQ  '3 D .9/OHIWPHVK     L   L  ,   ULJKWPHVK 5  ,  ,  L    6ROYLQJ     IRU, Ÿ ,   5 'HVLUHP$d,dP$ VRLI5 WKHQ, P$fiDPSZLOOQRWOLJKW E IURP  QRWHWKDWDV5 ,  VRWU\5  : Ÿ , P$ ZRQ WOLJKW WU\5 : Ÿ , P$ Ÿ ZLOOOLJKW 1RZFKHFNLI5 rZLOOOLJKWDQGQRWEXUQRXW  o : o , P$ ODPSZLOO  o : o , P$ VWD\RQ '3    BA U V W 5 5   5    5   5  Y  5   5 8VLQJYROWDJHGLYLGHU   5  5   5   5  5 5 Y   5 5 5   5    5  5   5   5  e b gj e b gj RQHVROXWLRQFKRRVH5  5   : o     5    Ÿ 5  :      c h c h 5   5  '3  Ÿ 5  :  PHVKL   5   5  L  5 L   Y b g     PHVKL     5 L   5   5  L   Y  b g &RQWLQXHG  IURP     JHWL  LMY   5 OP N Y b5  5 gQ      ' ZKHUH'  5   5   5   5    5   L LM 5  5 Y OP N5   Y Q      ' b gb g 1RZLI5  5  5   .ZKHUH.UHSUHVHQWV WKHQ'   .  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Y:   9 L:   Y :      9 Ÿ Y RF Y:  Y :       9  ? 3PD[ :  36SLFH3UREOHPV 63 Input file V1 1 I2 2 R3 2 R4 2 R5 1 R6 3 I7 0 R8 4 .dc V1 12 .print dc .END 0 dc 1 dc 0 3 3 4 3 dc 0 12 1 V (4) 12 2 2 1 2 1 4 2 result V(4)= v =4.952E+00V 63 Input file R1 1 I2 1 R3 2 R4 2 R5 1 I6 0 R7 1 V8 4 .dc V8 12 .print dc .END 63 Input file V1 4 G2 0 R3 1 R4 1 R5 2 R6 2 R7 3 .dc V1 6 .print dc .END 0 dc 1 1 2 4 0 3 0 61 V(3) 6 2 500m 1 1 1 1 0 2 dc 0 3 3 3 dc 4 0 dc 12 1 I(R1) 2 2 1 2 1 4 2 12 result i = I(R1)=3.000E+00A 2 result v = v(3) = 1.714E+00V  63 Probe result Input file V1 1 R2 1 I3 2 .dc I3 0 .probe V(2) .end 0 2 0 2e-3 dc 10 5k dc 1m 0.2e-3 63 Input file V1 1 R1 1 R2 2 G4 0 R3 3 R4 3 .dc V1 5 .print dc .end 0 dc 2 0 3 20 0 0 51 I(R4) 5 3k 6k 4 5k 2k result i = I(R4)= 9.524E+00A  63 Input G1 R2 I3 R4 .tf .end file 0 1 0 2 V(1) 1 2 2 0 I3 2 dc 0 20 0.2 30 25m result answer: ( NODE 1) V1= Voc = VT = 36V VOLTAGE 36.0000 ( NODE 2) VOLTAGE 24.0000 RTH = OUTPUT RESISTANCE AT V(1)=2.000E+02: 9HULILFDWLRQ3UREOHPV 93 (YDOXDWLQJGDWD 7KHYHTXLY &DVH 5 /  : L , VF  P$ Y RF 5W   &DVH5 / : L P$  6ROYLQJ \LHOGV5 W 6R : Y RF Y RF 5 W   9 :KHQ5 / Y RF L 5W 5/  : P$ QRWP$DVUHFRUGHG? 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Z = 6 .print ac Im(L2) Ip(L2) .END Output: FREQ 9.549E-01 IM(L2) 2.339E+00 IP(L2) -2.743E+01 6RL W  FRV W   G $  63 &LUFXLW Y6  FRV W  G 9 Input file: Vs L2 R3 C4 1 1 2 3 0 2 3 0 ac 5 4 12 55.6m -30 .ac lin 1 0.7958 0.7958 .print ac Vm(2) VP (2) .END Output: FREQ 7.958E-01 ;Z=5 VM(2) 3.082E+00 VP (2) -1.005E+02 6RY  W  FRV WG 9 63 &LUFXLW Y6  FRVZW L 6  FRV ZW  G Z  UDG VHF 1RWH7KHPWUHVLVWRUZDVDGGHGWRSURYLGHWKHGFSDWKWRJURXQGUHTXLUHGE\6SLFH6LQFHWKHUHVLVWDQFHLVVR ODUJHLWKDVOLWWOHHIIHFWRQWKHVROXWLRQFDOFXODWHG &RQWLQXHG  Input File: V1 R2 R3 L4 R5 C6 I7 R8 C9 R9 1 1 2 3 2 4 0 5 6 6 0 2 3 0 4 5 5 6 0 0 ac 200 20 20 40m 40 50u 8 20 50u 100MEG ac 90 .ac lin 1 159.15 159.15 .print ac Im(R5) Ip(R5) .END Output: FREQ 1.592E+02 IM(R5) 1.335E+00 IP(R5) -7.018E+01 6RL W  63 FRV W   G $ Y6  FRVZW Z  SI  S   UDG VHF Input file: V1 C2 R3 R4 R5 R6 Vdummy F7 R8 C9 R10 1 1 2 2 3 3 6 4 4 4 5 0 2 0 6 0 4 3 3 0 5 0 ac Vdummy 4 10n 20K 1000 100 100K 0 100 10K 20n 5K 0 .ac lin 1 1000 1000 .print ac Vm(5) VP (5) Output: VM(5) 4.245E+01 VP (5) -8.472E+01 6RY W  FRV ZW  G 9  63 &LUFXLW L6  Y6 FRV W  G $ FRV W  G 9 Input file: Is C2 R3 L4 Vs 0 1 1 2 0 1 0 2 3 3 ac 2 500m 2 4 3 10 ac 30 .ac lin 1 0.4776 0.4776 .print ac Im(C2) Ip(C2) .END Output: FREQ 4.776E-01 IM(C2) 1.999E+00 IP(C2) 1.706E+01 6RL W  FRV W  G $ 63 &LUFXLW Y6  L6  FRVW FRVW Input file: Vs R2 C3 C4 L5 L6 R7 Is 1 1 2 2 2 3 3 0 0 2 0 3 3 0 0 3 ac ac 5 500m 500m 1 500m 250m 1 5 0 0 &RQWLQXHG  .ac lin 1 0.3183 0.3183 ; Z = 2 .print ac Vm(2) VP (2) .print ac Im(R7) Ip(R7) .END 0utput: FREQ 3.183E-01 FREQ 3.183E-01 VM(2) 2.236E+00 IM(R7) 4.472E+00 VP (2) -2.657E+01 IP(R7) 6.344E+01 6RY D W  FRV W   G 9 DQGL W  FRV W G $ 63 &LUFXLW Y6  FRVW9 6HHQRWHRQSUREOHP63IRUH[SODQDWLRQ Input file: Vs R2 R3 C4 Vdummy H5 R6 C7 R7 1 5 2 2 1 3 3 4 4 0 2 0 0 5 2 4 0 0 ac Vdummy 4 500 2K 200n 0 300 2K 200n 100MEG 0 .ac lin 1 795.8 ; w = 5000 rad/sec .print ac Im(R2) Ip(R2) .END Output: FREQ 7.958E+02 IM(R2) 4.180E-03 IP(R2) 3.103E+01 6RL W  FRV W G P$  63 &LUFXLW I G +] 8VH‘ $WHVWVRXUFH 9 7KHQ=  ‘G Input file: Is 0 L2 1 R3 2 R4 1 R5 1 C6 3 .ac lin 1 60 60 .print ac Vm(1) .END Output: FREQ 6.000E+01 1 ac 2 0 0 3 0 400u ; f = 60Hz VP (1) 1 15m 8 5 6 0 VM(1) 2.784E+00 VP (1) -3.831E+00 6R=  9  ‘G ‘   G : 63 &LUFXLW Y6  I VLQ ZW  G N+] Input file: Vs R2 L3 C4 1 1 2 3 0 2 3 0 ac 120 1000 100m 1000n -60 &RQWLQXHG  .ac lin 1 10e3 10e3 .print ac Im(R2) Ip(R2) .END Output: FREQ IM(R2) 1.000E+04 1.891E-02 6RL W FRV ZW P$ G IP(R2) -1.409E+02 9HULILFDWLRQ3UREOHPV 93    M; 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H  K     7 Q Z    bg  QS G   &RQWLQXHG  7KHRXWSXWYROWDJHLV Y W   ¦ $W W PV Y    bg B   FRV FG H S S QS S S  G  WDQ  Q  WDQ  Q FRV Q  W  Q      QS IJ FG KH IJ K Q  e  Q S je  Q S j IJ K    bg Q  ¦ B   FRV FG H QS S S S S FRV Q  Q  G  WDQ  Q  WDQ  Q      Q S IJ FG KH e  Q S je  Q S j     36SLFH3UREOHPV 63 Iin R1 1 1 0 0 pulse (3.1415 1 -3.1415 -3.1415 6.2830 0 0 6.2830) .tran 0.1 6.2832 .four 0.15915 v(1) .probe .end FOURIER COMPONENTS OF TRANSIENT RESPONSE V (1) DC COMPONENT = HARMONIC NO 1 2 3 4 5 6 7 8 9 1.883515E-04 FOURIER COMPONENT 2.000E+00 1.001E+00 6.676E-01 5.013E-01 4.016E-01 3.353E-01 2.880E-01 2.526E-01 2.251E-01 NORMALIZED COMPONENT 1.000E+00 5.003E-01 3.338E-01 2.506E-01 2.008E-01 1.676E-01 1.440E-01 1.263E-01 1.126E-01 PHASE (DEG) -1.078E-04 -1.800E+02 -3.232E-04 -1.800E+02 -5.370E-04 -1.800E+02 -7.493E-04 -1.800E+02 -9.600E-04 NORMALIZED PHASE (DEG) 0.000E+00 -1.800E+02 -2.153E-04 -1.800E+02 -4.291E-04 -1.800E+02 -6.415E-04 -1.800E+02 -8.522E-04 FREQUENCY (HZ) 1.592E-01 3.183E-01 4.775E-01 6.366E-01 7.958E-01 9.549E-01 1.114E+00 1.273E+00 1.432E+00  63 Iin R1 1 1 0 0 pulse 1 (1 0 0 1 0 0 1) .tran 0.1 1 .four 1 V(1) .probe .end FOURIER COMPONENTS OF TRANSIENT RESPONSE V(1) DC COMPONENT = FREQUENCY (HZ) 1.000E+00 2.000E+00 3.000E+00 4.000E+00 5.000E+00 6.000E+00 7.000E+00 8.000E+00 9.000E+00 -5.080439E-01 FOURIER COMPONENT 3.182E-01 1.590E-01 1.059E-01 7.925E-02 6.326E-02 5.257E-02 4.491E-02 3.914E-02 3.464E-02 NORMALIZED COMPONENT 1.000E+00 4.996E-01 3.327E-01 2.490E-01 1.988E-01 1.652E-01 1.411E-01 1.230E-01 1.088E-01 PHASE (DEG) -1.771E+02 -1.742E+02 -1.713E+02 -1.684E+02 -1.655E+02 -1.627E+02 -1.598E+02 -1.569E+02 -1.541E+02 NORMALIZED PHASE (DEG) 0.000E+00 2.895E+00 5.787E+00 8.676E+00 1.156E+01 1.444E+01 1.731E+01 2.017E+01 2.303E+01 HARMONIC NO 1 2 3 4 5 6 7 8 9 63 Vin R1 1 1 0 0 1m v(1) pulse 1 (40 40 0.25m 0 0 0.5m 1m) .tran 1u .four 1k .probe .end FOURIER COMPONENTS OF TRANSIENT RESPONSE V(1) DC COMPONENT = -7.999887E-02 &RQWLQXHG  HARMONIC NO 1 2 3 4 5 6 7 8 9 FREQUENCY (HZ) 1.000E+03 2.000E+03 3.000E+03 4.000E+03 5.000E+03 6.000E+03 7.000E+03 8.000E+03 9.000E+03 FOURIER COMPONENT 5.093E+01 1.600E-01 1.698E+01 1.600E-01 1.019E+01 1.600E-01 7.274E+00 1.600E-01 5.657E+01 NORMALIZED COMPONENT 1.000E+00 3.142E-03 3.333E-01 3.142E-03 2.000E-01 3.142E-03 1.428E-01 3.142E-03 1.111E-01 PHASE (DEG) -9.036E+01 8.928E+01 8.892E+01 -9.144E+01 -9.180E+01 8.784E+01 8.748E+01 -9.288E+01 -9.324E+01 NORMALIZED PHASE (DEG) 0.000E+00 1.796E+02 1.793E+02 -1.080E+00 -1.440E+00 1.782E+02 1.778E+02 -2.520E+00 -2.880E+00 63 Vin R1 1 1 0 0 pulse 1 (25 5 0 0 0 4 5) .tran 0.01 5 .four 0.2 v(1) .probe .end FOURIER COMPONENTS OF TRANSIENT RESPONSE V(1) DC COMPONENT = HARMONIC NO 1 2 3 4 5 6 7 8 9 8.960000E+00 FOURIER COMPONENT 7.419E+00 6.030E+00 4.061E+00 1.935E+00 8.000E-02 1.182E+00 1.704E+00 1.537E+00 8.954E01 NORMALIZED COMPONENT 1.000E+00 8.127E-01 5.473E-01 2.609E-01 1.078E-02 1.593E-01 2.297E-01 2.072E-01 1.207E-01 PHASE (DEG) 1.253E+02 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This note was uploaded on 09/30/2010 for the course ECE 2025 taught by Professor Juang during the Spring '08 term at Georgia Tech.

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