this contains the cheat sheet for calculating resistances, currents and voltages for parallel, series and mixed connections
R1 <- U0
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R2 ---- R3 ------- R7 <- U1
| | |
R4 ---- R5 ---- R6 -- R8 <- U2
*U1, U2 and U3 is voltage for 1, 2 and 3 line-levels (up to down)
U1=U0-R1*I
U2=U1-R23*I
U3=U2-R456*I
R23=R2*R3/(R2+R3)
R456=1/(1/R4+1/R5+1/R6)
R78=R7+R8
R=1/(1/(R456+R23)+1/R78)+R1
---- R78 ----
R78=R7+R8
I78=(U1-U3)/R78
U7=U1-I78*R7
U8=U7-I78*R8
---- R23 ----
I2=(U1-U2)/R2
I3=(U1-U2)/R3
R2=(U1-U2)/I2
R3=(U1-U2)/I3
U=U1-R2*I2
U=U1-R3*I3
R2=1/(1/R23-1/R3)
R3=1/(1/R23-1/R2)
---- R456 ----
I4=(U2-U3)/R4
I5=(U2-U3)/R5
I6=(U2-U3)/R6
R4=(U2-U3)/I4
R5=(U2-U3)/I5
R6=(U2-U3)/I6
U=U2-R2*I4
U=U2-R3*I5
U=U2-R3*I6
R4=1/(1/R456-1/R5-1/R6)
R5=1/(1/R456-1/R4-1/R6)
R6=1/(1/R456-1/R4-1/R5)
