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We recently learned in mathematics the Laplace transform. But we didn't actually use it to solve circuits yet.

I took things at my own hand and tried to figure out whats the point of Laplace transform. I figured out all that frequency and time stuff. But here is the thing.

If you Laplace transform an equation that describes lets say capacitor(in time domain), you get

I=V*wC-I0*C right?

I see resemblance with impedance and other phasor techniques we used to solve circuits. But where is that imaginary part?

From transform up top. Xc=1/wC. But its missing that "-j" part. How did people get to the equation Xc=-j*1/wC?

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# Laplace transform in electrical engineering

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