Loading [MathJax]/jax/output/HTML-CSS/jax.js

Tuesday, July 7, 2020

3 - Resistor Voltage Divider


I0+I1+I2=0,! Notice the directions of the currents !
{I0=V0VXR0 I1=V1VXR1 I2=V2VXR2
V0VXR0+V1VXR1+V2VXR2=0
V0R1R2VXR1R2+V1R0R2VXR0R2+V2R0R1VXR0R1R0R1R2=0|×R0R1R2
V0R1R2+V1R0R2+V2R0R1R1R2+R0R2+R0R1=VX
Note: the VX is the unmarked voltage point on the schematic !

It is easy to see the calculation scheme easily adjusts for N voltages all connecting to the single VX
VXN=N1i=0ViN1k=0RkRiN1i=0N1k=0RkRi
thus BWD chek ::
for N=2 :
VX=V1R0+V0R1R0+R1
incase of the V0=0 it reduces to a trivial 2 resistor divider formula :
VX=V1R0R0+R1

Simulation example/chk. for N=4 :



[Eop]

No comments: