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# RLC Series Circuit

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.

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.

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.

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.

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.

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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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.

My Home Page