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    State Space Equation

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    For the given circuit diagram, select the state variables as a subset of nodal current and loop voltage. Also determine the state space equation and transfer function of the circuit. Please look at the attached file for further details.

    Kindly give a detailed step by step solution.

    © BrainMass Inc. brainmass.com December 24, 2021, 8:42 pm ad1c9bdddf
    https://brainmass.com/engineering/electrical-engineering/state-space-equation-303066

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    SOLUTION This solution is FREE courtesy of BrainMass!

    Please see attached file for the solution to the given problem.

    Hope this helps you in your studies.

    Solution: The state variables we will use are as follows:

    The state-space equations we will have using nodal analysis and mesh analysis are:

    The output equation y(t) is equal to:

    We will have the following state-space equations in matrix form:

    The output equation in matrix form is:

    To get the transfer function, we need to get the Laplace transform of each state-space equations and the output equation. We will have:

    Since the output requires the inductor current, we will equate the state-space equations in terms of inductor current:

    Substitute it to the equation of the output, we have the transfer function of:

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

    © BrainMass Inc. brainmass.com December 24, 2021, 8:42 pm ad1c9bdddf>
    https://brainmass.com/engineering/electrical-engineering/state-space-equation-303066

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