An equal-component Sallen-Key low-pass section is built with gain for a target

PHYSICS · Multi-part · Fermi University Physics · Electronics, Instrumentation & Communication · Feedback, operational amplifiers and analogue signal processing · Feedback, operational amplifiers and analogue signal processing

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Problem

An equal-component Sallen-Key low-pass section is built with gain K=3−1/QK = 3 - 1/Q for a target Q=5Q = 5, where KK is set by two feedback resistors. ((a)) Find the value of KK needed. ((b)) Compute the sensitivity SKQ=KQS^Q_K = KQ. ((c)) Use the first-order sensitivity to estimate the percentage change in QQ for a 1 %1\,\% increase in KK. ((d)) Compute the exact new value of QQ for that 1 %1\,\% increase in KK, and state the exact percentage change.

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