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    In a lag compensator circuit, the output voltage Vo(s) is determined by the current flowing through the series connection of a resistor and a capacito
    Question

    In a lag compensator circuit, the output voltage Vo(s) is determined by the current flowing through the series connection of a resistor and a capacitor. What is the primary role of the capacitor in a lag compensator circuit?

    A.

    To introduce a phase shift that delays the signal

    B.

    To decrease the system's settling time

    C.

    To improve the transient response

    D.

    To introduce a phase shift that advances the signal

    Correct option is A

    In a lag compensator, the capacitor (in series or parallel with a resistor, depending on realization) is used to: Introduce a phase lag (negative phase shift) Improve steady-state accuracy (increase low-frequency gain) Attenuate high-frequency componentsThe phase lag arises because the capacitor’s reactance causes the output to lag behind the input, especially around the compensator’s corner frequencies.\text{In a lag compensator, the capacitor (in series or parallel with a resistor, depending on realization) is used to:} \\[8pt]\bullet \ \text{Introduce a phase lag (negative phase shift)} \\[4pt]\bullet \ \text{Improve steady-state accuracy (increase low-frequency gain)} \\[4pt]\bullet \ \text{Attenuate high-frequency components} \\[8pt]\text{The phase lag arises because the capacitor’s reactance causes the output to lag behind the input, especially around the compensator’s corner frequencies.}​​

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