Version 4 SHEET 1 880 1112 WIRE 208 144 -80 144 WIRE 336 160 272 160 WIRE 464 160 336 160 WIRE -80 176 -80 144 WIRE 208 176 128 176 WIRE 128 256 128 176 WIRE 240 256 128 256 WIRE 336 256 336 160 WIRE 336 256 320 256 WIRE -80 288 -80 256 WIRE 128 288 128 256 WIRE 128 400 128 368 FLAG 464 160 Ua FLAG -80 144 U0 FLAG 128 176 U1 FLAG 128 400 0 FLAG -80 288 0 DATAFLAG 48 144 "round($*10k)/10k" DATAFLAG 192 256 "round($*10k)/10k" DATAFLAG 400 160 "round($*10k)/10k" SYMBOL Opamps\\opamp 240 224 M180 WINDOW 0 -16 142 Left 2 WINDOW 3 -16 114 Left 2 SYMATTR InstName U1 SYMBOL Misc\\EuropeanResistor 224 272 R270 WINDOW 0 27 56 VTop 2 WINDOW 3 5 56 VBottom 2 SYMATTR InstName R2 SYMATTR Value 90k SYMBOL Misc\\EuropeanResistor 112 272 R0 SYMATTR InstName R1 SYMATTR Value 10k SYMBOL voltage -80 160 R0 SYMATTR InstName V1 SYMATTR Value 1 TEXT -96 496 Left 2 !.subckt opamp in- in+ out\nRe in+ in- 100k\nEV out 0 in+ in- 100\n.ends TEXT -96 456 Left 2 !.op TEXT -96 648 Left 2 ;R12=R1*R2/(R1+R2)\n R1e=R1*Re/(R1+Re) \n \n Überlagerung anwenden\n U1 = Ua*R1e/(R2+R1e) +U0*R12/(R12+Re) (1)\n \n Ua = V*(U0-U1) (2) \n U1 = U0 -Ua/V (3)\n \n U1 in (1) durch (3) ersetzen\n \n U0 -Ua/V = Ua*R1e/(R2+R1e) +U0*R12/(R12+Re) \n Ua*(R1e/(R2+R1e) +1/V) = U0*(1-R12/(R12+Re))\n Ua/U0 = (1-R12/(R12+Re))/(R1e/(R2+R1e) +1/V)\n Ua/U0 = (Re/(R12+Re)) / ( (R1e+(R2+R1e)/V)/(R2+R1e) )\n Ua/U0 = (R2+R1e)/ ( (R12/Re+1)*(R1e+(R2+R1e)/V))\n Ua/U0 = (R2+R1e)/ ((R1e+(R2+R1e)/V)*(R12/Re+1))