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    The step response of the system

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    Problem 1 only. See attached file for full problem description.

    In the following circuit, v1(t) is the input voltage and v2(t) is the output voltage. Calculate the step response of the system. i.e., calculate the output v2(t) when the input is a unit step function.

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    Solution Preview

    Please see the attached file for detailed solution.

    First the current flowing through the capacitor:

    R2 is in parallel with R3 and the capacitor C, so

    Therefore, the current on R2 is

    According to KCL, the current on R1 is

    The source voltage is

    Plug in R and C values, (change ...

    Solution Summary

    The solution is comprised of detailed steps of calculations of the step response of the system.