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    Prove that state equations belong to the RLC circuit

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    See attached file for full problem description.

    Show that the state equations for this circuit are

    State Equations
    dq1(t)/dt = -(1/RC) * q1(t) - q2(t) + (1/C) * x(t)

    dq2(t)/dt = (1/LC) * q1(t)

    © BrainMass Inc. brainmass.com October 9, 2019, 6:48 pm ad1c9bdddf
    https://brainmass.com/physics/circuits/prove-state-equations-belong-rlc-circuit-98444

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    Solution Preview

    Please see the attached file.

    Show that the state equations for this circuit are

    State Equations
    dq1(t)/dt = -(1/RC) * q1(t) - q2(t) + (1/C) * x(t)

    dq2(t)/dt = (1/LC) * q1(t)

    Output Equation
    y(t) = q1(t)

    The ...

    Solution Summary

    It proves that state equations belong to the RLC circuit. The solution is detailed and was rated '5/5' by the student who originally posted the questions.

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