*version 8.0 1883237198 u 109 I? 5 R? 17 @libraries @analysis @targets @attributes a SimDataSigDigits=3 @translators a 0 u 13 0 0 0 hln 100 TANGO=PCB a 0 u 13 0 0 0 hln 100 SCICARDS=PCB a 0 u 13 0 0 0 hln 100 PROTEL=PCB a 0 u 13 0 0 0 hln 100 PCBOARDS=PCB a 0 u 13 0 0 0 hln 100 PCAD=PCB a 0 u 13 0 0 0 hln 100 PADS=PCB a 0 u 13 0 0 0 hln 100 ORCAD=PCB a 0 u 13 0 0 0 hln 100 EDIF=PCB a 0 u 13 0 0 0 hln 100 CADSTAR=PCB a 0 u 13 0 0 0 hln 100 PSPICE=PSPICE a 0 u 13 0 0 0 hln 100 XILINX=XILINX @setup unconnectedPins 0 connectViaLabel 0 connectViaLocalLabels 0 NoStim4ExtIFPortsWarnings 1 AutoGenStim4ExtIFPorts 1 @index pageloc 1 0 9089 Equivalent Resistance @status n 0 100:01:22:12:04:51;951239091 e s 0 100:01:22:12:04:52;951239092 e c 100:01:23:15:24:41;951337481 *page 1 0 970 720 iA @ports port 11 gnd_analog 130 110 h port 22 gnd_analog 400 100 h port 28 gnd_analog 690 110 h port 103 gnd_analog 80 500 h @parts part 2 idc 80 110 u a 0 sp 11 0 0 50 hln 100 PART=idc a 0 a 0:13 0 0 0 hln 100 PKGREF=I1 a 1 ap 9 0 20 10 hcn 100 REFDES=I1 a 1 u 13 0 -9 21 hcn 100 DC=1A part 3 r 130 110 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R1 a 0 ap 9 0 21 4 hln 100 REFDES=R1 a 0 u 13 0 13 27 hln 100 VALUE=10 part 4 r 180 110 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R2 a 0 ap 9 0 15 0 hln 100 REFDES=R2 a 0 u 13 0 15 25 hln 100 VALUE=10 part 15 idc 330 100 u a 0 sp 11 0 0 50 hln 100 PART=idc a 1 u 13 0 -9 21 hcn 100 DC=1A a 0 a 0:13 0 0 0 hln 100 PKGREF=I2 a 1 ap 9 0 20 10 hcn 100 REFDES=I2 part 14 r 460 100 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R4 a 0 ap 9 0 15 0 hln 100 REFDES=R4 a 0 u 13 0 17 47 hln 100 VALUE=1MEG part 13 r 400 100 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R3 a 0 ap 9 0 15 0 hln 100 REFDES=R3 a 0 u 13 0 13 29 hln 100 VALUE=1 part 25 idc 620 110 u a 0 sp 11 0 0 50 hln 100 PART=idc a 1 u 13 0 -9 21 hcn 100 DC=1A a 0 a 0:13 0 0 0 hln 100 PKGREF=I3 a 1 ap 9 0 20 10 hcn 100 REFDES=I3 part 26 r 750 110 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 u 13 0 17 47 hln 100 VALUE=1MEG a 0 a 0:13 0 0 0 hln 100 PKGREF=R5 a 0 ap 9 0 15 0 hln 100 REFDES=R5 part 37 r 720 60 u a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R7 a 0 ap 9 0 15 0 hln 100 REFDES=R7 a 0 u 13 0 21 31 hln 100 VALUE=1 part 53 r 140 430 h a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R8 a 0 ap 9 0 15 0 hln 100 REFDES=R8 a 0 u 13 0 15 25 hln 100 VALUE=1 part 62 idc 80 480 u a 0 sp 11 0 0 50 hln 100 PART=idc a 0 a 0:13 0 0 0 hln 100 PKGREF=I4 a 1 ap 9 0 20 10 hcn 100 REFDES=I4 a 1 u 13 0 -9 21 hcn 100 DC=1A part 54 r 220 430 h a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R9 a 0 ap 9 0 15 0 hln 100 REFDES=R9 a 0 u 13 0 15 25 hln 100 VALUE=2 part 55 r 300 430 h a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R10 a 0 ap 9 0 15 0 hln 100 REFDES=R10 a 0 u 13 0 15 25 hln 100 VALUE=3 part 59 r 200 480 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R14 a 0 ap 9 0 15 0 hln 100 REFDES=R14 a 0 u 13 0 15 25 hln 100 VALUE=4 part 60 r 280 480 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R15 a 0 ap 9 0 15 0 hln 100 REFDES=R15 a 0 u 13 0 15 25 hln 100 VALUE=5 part 61 r 360 480 v a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R16 a 0 ap 9 0 15 0 hln 100 REFDES=R16 a 0 u 13 0 15 25 hln 100 VALUE=6 part 56 r 140 500 h a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R11 a 0 ap 9 0 15 0 hln 100 REFDES=R11 a 0 u 13 0 15 25 hln 100 VALUE=7 part 57 r 220 500 h a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R12 a 0 ap 9 0 15 0 hln 100 REFDES=R12 a 0 u 13 0 15 25 hln 100 VALUE=8 part 58 r 300 500 h a 0 sp 0 0 0 10 hlb 100 PART=r a 0 s 0:13 0 0 0 hln 100 PKGTYPE=RC05 a 0 s 0:13 0 0 0 hln 100 GATE= a 0 a 0:13 0 0 0 hln 100 PKGREF=R13 a 0 ap 9 0 15 0 hln 100 REFDES=R13 a 0 u 13 0 15 25 hln 100 VALUE=9 part 1 titleblk 970 720 h a 1 s 13 0 350 10 hcn 100 PAGESIZE=A a 1 u 13 0 10 10 hln 100 CompanyName=Calvin College a 1 u 13 0 10 20 hln 100 Line1=ENGR204 a 1 u 13 0 10 40 hln 100 Line3= a 1 u 13 0 150 95 hln 100 Date=February 22, 2000 a 1 u 13 0 10 30 hln 100 Line2=S. VanderLeest a 1 x 13 0 180 60 hcn 100 PAGETITLE=Equivalent Resistance a 1 s 13 0 340 95 hrn 100 PAGECOUNT=1 a 1 s 13 0 300 95 hrn 100 PAGENO=1 @conn w 6 a 0 up 0:33 0 0 0 hln 100 V= s 130 70 80 70 7 a 0 up 33 0 135 51 hct 100 V= s 180 70 130 70 5 w 9 a 0 up 0:33 0 0 0 hln 100 V= s 130 110 80 110 10 a 0 up 33 0 105 109 hct 100 V= s 180 110 130 110 8 w 17 a 0 up 0:33 0 0 0 hln 100 V= s 400 60 460 60 18 s 330 60 400 60 16 a 0 up 33 0 401 43 hct 100 V= w 20 a 0 up 0:33 0 0 0 hln 100 V= s 400 100 330 100 21 a 0 up 33 0 365 99 hct 100 V= s 460 100 400 100 19 w 39 a 0 up 0:33 0 0 0 hln 100 V= s 620 60 620 70 40 s 680 60 620 60 38 a 0 up 33 0 652 45 hct 100 V= w 43 a 0 up 0:33 0 0 0 hln 100 V= s 750 60 750 70 44 s 720 60 750 60 42 a 0 up 33 0 753 45 hct 100 V= w 30 a 0 up 0:33 0 0 0 hln 100 V= s 690 110 620 110 31 a 0 up 33 0 655 109 hct 100 V= s 750 110 690 110 29 w 68 a 0 up 0:33 0 0 0 hln 100 V= s 80 480 80 500 67 s 80 500 140 500 104 a 0 up 33 0 110 499 hct 100 V= w 64 a 0 up 0:33 0 0 0 hln 100 V= s 140 430 80 430 63 a 0 up 33 0 110 411 hct 100 V= s 80 430 80 440 65 w 98 a 0 up 0:33 0 0 0 hln 100 V= s 220 430 200 430 97 s 200 430 200 440 99 s 200 430 180 430 101 a 0 up 0:33 0 198 409 hct 100 V= w 92 a 0 up 0:33 0 0 0 hln 100 V= s 300 430 280 430 91 s 280 430 280 440 93 s 280 430 260 430 95 a 0 up 0:33 0 270 429 hct 100 V= w 88 a 0 up 0:33 0 0 0 hln 100 V= s 360 440 360 430 87 s 360 430 340 430 89 a 0 up 0:33 0 350 429 hct 100 V= w 84 a 0 up 0:33 0 0 0 hln 100 V= s 340 500 360 500 83 s 360 500 360 480 85 a 0 up 0:33 0 362 490 hlt 100 V= w 78 a 0 up 0:33 0 0 0 hln 100 V= s 260 500 280 500 77 s 280 500 280 480 79 s 280 500 300 500 81 a 0 up 0:33 0 290 499 hct 100 V= w 72 a 0 up 0:33 0 0 0 hln 100 V= s 180 500 200 500 71 s 200 500 200 480 73 s 200 500 220 500 75 a 0 up 0:33 0 210 499 hct 100 V= @junction j 130 110 + p 3 1 + s 11 j 80 70 + p 2 - + w 6 j 130 70 + p 3 2 + w 6 j 180 70 + p 4 2 + w 6 j 80 110 + p 2 + + w 9 j 130 110 + p 3 1 + w 9 j 130 110 + s 11 + w 9 j 180 110 + p 4 1 + w 9 j 400 100 + p 13 1 + s 22 j 460 60 + p 14 2 + w 17 j 400 60 + p 13 2 + w 17 j 330 60 + p 15 - + w 17 j 330 100 + p 15 + + w 20 j 400 100 + p 13 1 + w 20 j 400 100 + s 22 + w 20 j 460 100 + p 14 1 + w 20 j 620 70 + p 25 - + w 39 j 680 60 + p 37 2 + w 39 j 750 70 + p 26 2 + w 43 j 720 60 + p 37 1 + w 43 j 620 110 + p 25 + + w 30 j 690 110 + s 28 + w 30 j 750 110 + p 26 1 + w 30 j 140 430 + p 53 1 + w 64 j 80 440 + p 62 - + w 64 j 80 480 + p 62 + + w 68 j 140 500 + p 56 1 + w 68 j 180 500 + p 56 2 + w 72 j 200 480 + p 59 1 + w 72 j 220 500 + p 57 1 + w 72 j 200 500 + w 72 + w 72 j 260 500 + p 57 2 + w 78 j 280 480 + p 60 1 + w 78 j 300 500 + p 58 1 + w 78 j 280 500 + w 78 + w 78 j 340 500 + p 58 2 + w 84 j 360 480 + p 61 1 + w 84 j 360 440 + p 61 2 + w 88 j 340 430 + p 55 2 + w 88 j 300 430 + p 55 1 + w 92 j 280 440 + p 60 2 + w 92 j 260 430 + p 54 2 + w 92 j 280 430 + w 92 + w 92 j 220 430 + p 54 1 + w 98 j 200 440 + p 59 2 + w 98 j 180 430 + p 53 2 + w 98 j 200 430 + w 98 + w 98 j 80 500 + s 103 + w 68 @attributes a 0 s 0:13 0 0 0 hln 100 PAGETITLE=Equivalent Resistance a 0 s 0:13 0 0 0 hln 100 PAGENO=1 a 0 s 0:13 0 0 0 hln 100 PAGESIZE=A a 0 s 0:13 0 0 0 hln 100 PAGECOUNT=1 @graphics t 24 t 6 810 220 580 140 0 227 For two resistors in series, Req = R7 + R5. If R5 >> R7, then Req will be very close to just R5 (the larger one). Pspice verifies that the 1 ohm in series with the 1MEG is seen by the source as Req = V/I = 1 MV / 1A = 1 Mohm. t 107 t 6 60 540 420 710 0 589 The equivalent resistance, as seen by the source: Req = 1 + ({2 + [(3+6+9) || 5] + 8} || 4) + 7 = 8 + ({10 + [18||5]} || 4) = 8 + ({10 + [3.9]} || 4) = 8 + (13.9 || 4) = 8 + 3.1 = 11.1 ohm. This is verified by Pspice, since Req = V/I = 11.1V / 1A = 11.1 ohms. Note that the 1 and the 2 are NOT in series (because the 4 is connected in between). Note that the 4 and the 5 are NOT in parallel because the 2 and the 8 are in between. Only the 3, 6, and 9 can be combined in series at first. Then other combinations become available. t 12 t 6 280 140 10 260 0 184 Two equal resistors in parallel can be simplified as Req = R || R = R^2/(2R) = R/2. Pspice verifies that the resistance seen by the source is V/I = 5V/1A = 5 ohms. Thus 10 || 10 = 5. t 108 t 5 210 50 30 10 0 72 Note: Use Analysis->Display Results ->Enable to see simulation answers. t 23 t 6 290 130 560 250 0 249 For two resistors in parallel, Req = R3 || R4 = (R3*R4)/(R3+R4). If R4 >> R3, then Req will be very close to just R3 (the smaller one!). Pspice verifies that the 1 ohm in parallel with the 1MEG is seen by the source as Req = V/I = 1V / 1A = 1 ohm.