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Per LvQ suggestion, fixed answer
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When finding the transfer function of these active op-amps how come we don't include the characteristics of the op amp itself?

Generally you want to operate at frequency/gain underneath the gain bandwidth product. That way the op-amp dynamics don't come into play. However, when realizing impedances (say an inductor), the op-amp's integrator like response is used. Look up 'gyrators' for info on this.

When finding the transfer function of these active op-amps how come we don't include the characteristics of the op amp itself?

Generally you want to operate at frequency/gain underneath the gain bandwidth product. That way the op-amp dynamics don't come into play. However, when realizing impedances (say an inductor), the op-amp's integrator like response is used. Look up 'gyrators' for info on this.

When finding the transfer function of these active op-amps how come we don't include the characteristics of the op amp itself?

Generally you want to operate at frequency/gain underneath the gain bandwidth product. That way the op-amp dynamics don't come into play.

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When finding the transfer function of these active op-amps how come we don't include the characteristics of the op amp itself?

Generally you want to operate at frequency/gain underneath the gain bandwidth product. That way the op-amp dynamics don't come into play. However, when realizing impedances (say an inductor), the op-amp's integrator like response is used. Look up 'gyrators' for info on this.