# RLC Circuit analysis - s-domain transformation

#### danatic

Joined Jul 4, 2015
31

Hello, I am having trouble transforming this circuit to s-domain using Laplace Transformation and then transforming back. It would be great if I could get some help in a step by step manner. I have attached my workings as well but didn't get the answer correct. Question is in attachment. My workings are as follows:

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#### drc_567

Joined Dec 29, 2008
855
voltage divider ...
$${V_o=V_i*Z_2/(Z_1+Z_2)}$$

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#### danatic

Joined Jul 4, 2015
31
Ah, thanks for spotting the mistake. I finally solved it. Thank you!

#### WBahn

Joined Mar 31, 2012
25,910
Even leaving that error aside, you got a wrong answer. Look at the units on your final result -- they don't work out.

If you are taking the ratio of the two impedances, each of which has a resistance in the numerator, how is it that the ratio has BOTH resistances in the numerator?

Always, always, ALWAYS track your units.