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Determining technical technical uncertainty of the output of a voltage divider, when resistor tolerances are known.

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Find the maximum deviation from a nominal value of a voltage output of a voltage divider given below.

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Use partial derivative calculus to estimate the maximum dviations of each of the variables that determine the output.

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Resistor 1 in a voltage divider

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Resistor 2 from a voltage divider

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Component tolerance of resistor 1

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Component tolerance of resistor 2

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Voltage source to the voltage divider

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A voltage divider is created by two resistors in series, R1 and R2, with values R1 = {r1} Ohm and R2={r2} Ohm. The input is a voltage source with nominal value of {Vs}V.

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The tolerances of resistors R_1 and R_2 are {tol1}% and {tol2}, respectively.

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Calculate the nominal value of the output voltage of the voltave divider, Vo, and estimate its worst case variation from the nominal value, dV, in volts.

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