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In Lab 5 we constructed an ideal, uncompensated AC differentiator. However, as you may have observed in lab, an uncompensated differentiator has two major problems.

In Lab 5 we constructed an ideal, uncompensated AC differentiator. However, as you may have observed in lab, an uncompensated differentiator has two major problems. First, the input impedance is a capacitor. Thus, the input impedance decreases as the input frequency increases, such that the impedance is very small and undesirable at high frequencies. Second, the gain equals Zfeedback/Zinput. Thus, as the input frequency increases, the gain also increases. This makes the circuit very susceptible to noise at high frequencies. Hence, we can compensate the differentiator by designing a circuit with a particular cutoff frequency, by which at that cutoff frequency the differentiator turns into an integrator. Thus, we eliminate the high frequency issues of small impedance and high noise

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