Explore BrainMass
Share

Explore BrainMass

    Circuit Diagrams, Pole Frequencies, and Bode Plots

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Not exactly sure how to go about solving the attached problem - concepts include circuit diagrams, pole frequencies, and bode plots.

    © BrainMass Inc. brainmass.com October 10, 2019, 5:57 am ad1c9bdddf
    https://brainmass.com/engineering/electronic-engineering/circuit-diagrams-pole-frequencies-bode-plots-523232

    Attachments

    Solution Preview

    Please see the 2 attachments.

    1. The first order high pass filter is shown below

    Note that I have drawn this as 2 general impedances and as shown.

    In this particular case since is a pure resistance we can say its impedance is simply

    Similarly the impedance being a pure capacitance has an impedance given by where is the angular frequency of operation of the driving source and is the complex operator telling us that current and voltage are not in phase through such an impedance.

    Moreover and to simplify the analysis we can substitute the parameter to obtain the impedance if we wanted to.

    GENERAL TRANSFER FUNCTION EXPRESSION:

    The output voltage is just given by the voltage divider rule for 2 impedances (in this case and in series) and taking the output voltage as over the impedance .We can therefore write the output voltage as measured across impedance using the voltage divider rule, thus

    And as a result we can then write the transfer function as the ratio of to by re-arrangement of the above equation to get

    Substituting in our impedance values derived earlier and we obtain

    Multiplying top and bottom by (which doesn't change the value of the above as this is equivalent to multiplying by 1) we can write

    Which when ...

    Solution Summary

    The circuit diagrams, pole frequencies and bode plots are examined in the solution.

    $2.19