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Simple Voltage Divider Calculator with Uncertainty Calculated via Partial Derivatives

Note

Variance is for an stats study.

Absolute Uncertainty of f f# Δ.abs x# f# Unknowns : fs# f# num2str : xs# x# num2str vectorize : 13 mat f# abs(diff(fs#, xs# k# el))*Δ xs# k# el concat str2num k# 1 xs# length sum 21 mat 21 line :

Relative Uncertainty of f f# Δ.rel x# f# Unknowns : fs# f# num2str : xs# x# num2str vectorize : 13 mat f# 1 f# / abs(diff(fs#, xs# k# el))*Δ xs# k# el concat str2num x# k# el * k# 1 xs# length sum * 21 mat 21 line :

Inputs:

Input voltage V.in 27 V * :

Input voltage variance ΔV.in 1 % * V.in * :

Upper voltage divider resistor R1 R1 20 kΩ * :

R1 variance using tol ΔR1 2 % * R1 * :

Lower voltage divider resistor R2 R2 30 kΩ * :

R2 variance using tol ΔR2 5 % * R2 * :

Formulas:

Vout formula Δ V.in R1 R2 Clear V.in R2 R1 R2 + / * Δ.abs 21 line :

V.out ΔV.out 21 mat Δ :

Outputs:

Nominal output voltage V.out V 16.2

Output voltage variance ΔV.out mV 615.6

Nominal output voltage range V.out ΔV.out ± V 16.8156 15.5844 21 sys

With relative uncertainities

ΔV.in 1 % * :

ΔR1 2 % * :

ΔR2 5 % * :

Formulas:

Vout formula Δ V.in R1 R2 Clear V.in R2 R1 R2 + / * Δ.rel 21 line :

V.out ΔV.out 21 mat Δ :

Outputs:

Nominal output voltage V.out V 16.2

Output voltage variance ΔV.out % 3.8

Nominal output voltage range V.out 1 ΔV.out ± (* V 16.8156 15.5844 21 sys

Alvaro