Hi, My lecturer decided to set us a coursework question WITHOUT teaching us what s-plane analysis is. I have attached a copy of the question but to be honest I'd just really like someone to tell me what it is?
I have done Laplace transforms but not when dealing with circuits only in relation to signals etc. So I don't know how I would apply it to this
There are a couple of ways. Circuit elements can be replaced by their Laplace equivalents, similar to the way you handle circuits using phasors, you should be able to find a table of these online (edit: pages 7, 8 and 9 of this PDF have the Laplace equivalents: http://web.cecs.pdx.edu/~ece2xx/ECE222/Slides/LaplaceCircuits.pdf) The other option is to form the differential equation for the circuit and apply the Laplace transform to that.
I have changed them all so the values are now r = R(s) = 1kΩ l = sL = jω.10mH c = 1/sC = 1/jω.25μF Is there somewhere I can get the equation needed to work it out, I have done this when using transfer functions but somehow I dont think it is the same thing.
Once you have the Laplace equivalents you can apply standard network analysis techniques to the circuit (e.g. nodal, mesh, etc.) Relating Is and I2 using current division would probably be the easiest way to proceed here.
Either method can be used with a circuit regardless of what information is given. However, current division will be the easiest since it can be applied directly: Where Y is admittance (Y = 1/Z)
This is where I've gotten to with the workings, I'm just wondering if I have to add the whole of the bottom of it then substitute ω with what they want in the question. Then finally find the modulus of the equation on the right to solve lI2l/lIsl?
Almost, just three things: 1.) Admittance for capacitor is jωC. 2.) The resistance is 1kΩ, so admittance becomes 1/1000. 3.) The inductor is 10mH (10x10^-3) So: