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I have a parallel circuit with a 10 Ω resistor in series with a 1mH inductor in one branch and a .1uF capacitor in the other.

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trying to understand how to analyze an RLC circuit using Laplace transforms. Please help???

I

have a parallel circuit with a 10 Ω resistor in series with a 1mH inductor in one branch and a .1uF capacitor in the other. I am required to calculate total impedance Z(s) using Laplace Transforms. The professor has given me the answer of Z(s)=10^7 ((s+10^4)/(s^2+10000s+10^10)), but I don’t understand how he got there. How do I arrive at that solution?

 
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