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Analysing a First Order Filter Step Response.

A) FIGURE 2 shows the response of a first-order filter to a step input. Estimate the half-power cut-off frequency of the filter and sketch its frequency and phase response.

B) Select (with justification) from the op-amps listed in TABLE A those which are NOT suitable for use as the active component in the filter of (a) above.

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PART A:

The general Laplace transfer function for a first order low pass filter is given by (1).

T(s) = 1 / (1 + s Tau) (1)

Where Tau is the time constant of the filter (time taken for the time domain response to rise to 63.2%* of the value of the peak of a step input).

We can define ...

Solution Summary

(a) The response of a first-order filter (as shown in a curcuit diagram) to a step input. Estimation of the half-power cut-off frequency of the filter and its frequency and phase responses are sketched.

(b) Selection with appropriate justificationfrom the op-amps listed in TABLE A those which are NOT suitable for use as the active component in the filter of (a) above.

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