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Let's suppose we have 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.