RLC Series Circuit

danilorj

danilorj

@danilorj-DuKxBn • Oct 23, 2024
Guys,
Let's suppose we have a RLC series circuit feeded by tension source initially with no energy stored. When we apply an unitary step of tension at t=0 at the terminals of the circuit, we observe a current of i(t)=(125/24) * exp(-700t)* Sin(2400t) mA that goes around the circuit for t>0s.
I want to find the values of R, L, C.
I was trying to match the laplace transformation of the current above to the laplace transformation of the circuit for the current but no success.
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  • danilorj

    danilorj

    @danilorj-DuKxBn • Mar 4, 2011

    Let me explain it better
    The Laplace transformation of the given current is I(s)=12500/[(s+700)^2+2400^2]
    And if I apply the Kirchhoff Law Tension around the RLC series circuit I get
    I(s)=1/[s*(LC*s^2+RC*s+1)]. But I don't know what to do with this. They seem to be different, one has degree 3 and the other has degree 2 in the denominator.
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  • danilorj

    danilorj

    @danilorj-DuKxBn • Mar 4, 2011

    And I think the best way of doing this is using the Laplace transformation, cause solving the differential equation would take a very hard work, and I don't think it's gonna work as well.
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  • aicbal

    aicbal

    @aicbal-t5T7aK • Mar 24, 2011

    I(s)=12500/[(s+700)^2+2400^2]

    the problem is in the above equation. you must mistaken to take laplace transform of unitary step as 1. but it should be 1/s. then your derived above equation contain s^3, then just compare with the standard equation.

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