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Monday, January 1, 2018

Differentiator

Circuit:


Analysis:

As usual, the voltage of the opamp negative input is driven to 0 by feedback. The current is

$ 1\frac{dV_{in}}{dt} = \frac{-V_{out}}/0.25 $
$ V_{out} = -2.5\frac{dV_{in}}{dt} $

Simulation:



Note that 90 degree out of phase, this is caused by the differentiation.

LTSpice:

The model can be downloaded here.

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