Hello, 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?