Version 4 SHEET 1 880 904 WIRE 224 32 112 32 WIRE 320 32 224 32 WIRE 416 32 320 32 WIRE 112 48 112 32 WIRE 224 64 224 32 WIRE 224 144 224 128 WIRE -144 176 -288 176 WIRE -96 176 -144 176 WIRE 112 176 112 128 WIRE 112 176 -16 176 WIRE -288 192 -288 176 WIRE 112 192 112 176 WIRE -288 288 -288 272 WIRE 112 288 112 272 WIRE -144 400 -144 176 WIRE -96 400 -144 400 WIRE 96 400 -16 400 WIRE 256 400 144 400 WIRE 336 400 256 400 WIRE 432 400 336 400 WIRE 96 432 96 400 WIRE 144 432 144 400 WIRE 256 432 256 400 WIRE 256 528 256 496 WIRE 96 544 96 512 WIRE 144 544 144 512 FLAG -288 288 0 FLAG 112 288 0 FLAG 96 544 0 FLAG 144 544 0 FLAG 416 32 T1 IOPIN 416 32 Out FLAG 432 400 T2 IOPIN 432 400 Out FLAG 320 112 0 FLAG 336 480 0 FLAG 224 144 0 FLAG 256 528 0 SYMBOL ind2 96 288 M180 WINDOW 0 -15 80 Right 0 WINDOW 3 -7 42 Right 0 SYMATTR InstName L1 SYMATTR Value 100µ SYMATTR Type ind SYMBOL ind2 96 144 M180 WINDOW 0 36 80 Left 0 WINDOW 3 36 40 Left 0 SYMATTR InstName L2 SYMATTR Value 400µ SYMATTR Type ind SYMBOL voltage -288 176 R0 WINDOW 123 24 132 Left 0 WINDOW 39 0 0 Left 0 SYMATTR InstName V1 SYMATTR Value "" SYMATTR Value2 AC 1 SYMBOL ind2 160 528 R180 WINDOW 0 -38 77 Left 0 WINDOW 3 -60 40 Left 0 SYMATTR InstName L4 SYMATTR Value 900µ SYMBOL ind2 80 528 M180 WINDOW 0 -37 80 Left 0 WINDOW 3 -59 42 Left 0 SYMATTR InstName L3 SYMATTR Value 100µ SYMBOL res 0 160 R90 WINDOW 0 0 56 VBottom 0 WINDOW 3 32 56 VTop 0 SYMATTR InstName R1 SYMATTR Value 100 SYMBOL res 0 384 R90 WINDOW 0 0 56 VBottom 0 WINDOW 3 32 56 VTop 0 SYMATTR InstName R2 SYMATTR Value 100 SYMBOL res 304 16 R0 SYMATTR InstName R3 SYMATTR Value 900 SYMBOL res 320 384 R0 SYMATTR InstName R4 SYMATTR Value 900 SYMBOL cap 208 64 R0 SYMATTR InstName C1 SYMATTR Value 10p SYMBOL cap 240 432 R0 SYMATTR InstName C2 SYMATTR Value 10p TEXT -24 96 Left 0 !K1 L1 L2 1 TEXT -288 528 Left 0 !.ac oct 32 100kHz 100Meghz TEXT -288 -80 Left 0 ;A Transformer and Auto-Transformer with \nidentical voltage ratios (1:3) and \nidentical impedance ratios (1:9) TEXT 64 368 Left 0 !K2 L3 L4 1 TEXT 184 192 Left 0 ;Voltage ratio = 1+sqrt(Lsec/Lpri)\nImpedance ratio = voltageratio^2\n = 1 + 2*sqrt(Lsec/Lpri) + Lsec/Lpri\nOutput self-inductance = (sqrt(Lpri) + sqrt(Lsec))^2\n where Lpri = L1, Lsec = L2 TEXT 192 568 Left 0 ;Voltage ratio = sqrt(Lsec/Lpri)\nImpedance ratio = voltageratio^2 = Lsec/Lpri TEXT -288 664 Left 0 ;No load output voltage = 3x input voltage in both cases.\n \n9x impedance transformation matches 100R source to 900R load,\nresulting in halving of the output voltage.\n \nDespite the apparent difference in output inductance on the schematic, \nthe actual output and input self-inductances are equal; the AC analyses\nare identical regardless of additional reactive components added equally to\neither side of the transformers. TEXT 296 -80 Left 0 ;This example schematic is supplied for \ninformational/educational purposes only.