On Sat, 22 Oct 2011 18:33:18 -0700, "Artemus"
wrote:


"ehsjr" wrote in message
...
John Fields wrote:

A nice PDF. I like it - much better than the text output my
program produces (shown below). I programmed it, using the 18 ohm
resistors mentioned in the original post. Total R is shown in the
right hand column.

I like it better your way, with the schematic and the generic R. It
works works for any value of R; my program does too, but the output
is limited to only one resistor value per run. Your multiplication
factor works for any resistance. Here's the output I got:

10 in parallel = 1.8
9 in parallel = 2
8 in parallel = 2.25
7 in parallel = 2.57142857
6 in parallel = 3
5 in parallel = 3.6
4 in parallel = 4.5
3 in parallel = 6
2 in parallel = 9
1 single resistor = 18
1 in series with 9 in parallel = 20
1 in series with 8 in parallel = 20.25
1 in series with 7 in parallel = 20.5714286
1 in series with 6 in parallel = 21
1 in series with 5 in parallel = 21.6
1 in series with 4 in parallel = 22.5
1 in series with 3 in parallel = 24
1 in series with 2 in parallel = 27
1 in series with 1 in parallel = 36
2 in series with 8 in parallel = 38.25
2 in series with 7 in parallel = 38.5714286
2 in series with 6 in parallel = 39
2 in series with 5 in parallel = 39.6
2 in series with 4 in parallel = 40.5
2 in series with 3 in parallel = 42
2 in series with 2 in parallel = 45
2 in series with 1 in parallel = 54
3 in series with 7 in parallel = 56.5714286
3 in series with 6 in parallel = 57
3 in series with 5 in parallel = 57.6
3 in series with 4 in parallel = 58.5
3 in series with 3 in parallel = 60
3 in series with 2 in parallel = 63
3 in series with 1 in parallel = 72
4 in series with 6 in parallel = 75
4 in series with 5 in parallel = 75.6
4 in series with 4 in parallel = 76.5
4 in series with 3 in parallel = 78
4 in series with 2 in parallel = 81
4 in series with 1 in parallel = 90
5 in series with 5 in parallel = 93.6
5 in series with 4 in parallel = 94.5
5 in series with 3 in parallel = 96
5 in series with 2 in parallel = 99
5 in series with 1 in parallel = 108
6 in series with 4 in parallel = 112.5
6 in series with 3 in parallel = 114
6 in series with 2 in parallel = 117
6 in series with 1 in parallel = 126
7 in series with 3 in parallel = 132
7 in series with 2 in parallel = 135
7 in series with 1 in parallel = 144
8 in series with 2 in parallel = 153
8 in series with 1 in parallel = 162
9 in series with 1 in parallel = 180

Ed

Maybe I'm missing what you and Ed are trying to show but per the OP
it seems you both are missing some combinations such as
3P in series with 3P = 12ohms.

Art


There are a *lot* more combinations, like complex bridged stacks. I
wonder if there is a general way to enumerate them all.

John