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SLAAE47A May 2022 – August 2022 DAC11001A , DAC11001B

4.5 Resistor Tolerance Error

This error refers to the gain error caused by the tolerance of the gain setting resistors. This is one of the major contributors of error in any amplifier design. \ and Equation 15 can be used to calculate the error due to resistor tolerances for both the non-inverting and inverting gain stages.

Equation for non-inverting stage:

Equation 14.

R e s i s t o r T o l e r a n c e E r r o r (p p m) = \frac{\{[1 + \frac{R_{f} (Ω) \times (1 + \frac{T o l e r a n c e (%)}{100})}{R_{g} (Ω) \times (1 - \frac{T o l e r a n c e (%)}{100})}] - A b s (1 + \frac{R_{f}}{R_{g}})\}}{A b s (1 + \frac{R_{f}}{R_{g}})} \times 10^{6}

Equation for inverting stage:

Equation 15.

R e s i s t o r T o l e r a n c e E r r o r (p p m) = \frac{\{[1 + \frac{R_{f} (Ω) \times (1 + \frac{T o l e r a n c e (%)}{100})}{R_{g} (Ω) \times (1 - \frac{T o l e r a n c e (%)}{100})}] - A b s (- \frac{R_{f}}{R_{g}})\}}{A b s (- \frac{R_{f}}{R_{g}})} \times 10^{6}