Recent content by mankku

Thanks for your replies! In fact, the solution to the problem hit me this morning while I was having breakfast. It's kinda odd how the mind works, I wasn't even thinking about the assignment and suddenly *boing*, it hit me. And in five minutes I had derived the differential equation from...

Which was indeed a typo on my behalf. The rest should be correct. Thanks for pointing the typo out, hopefully it hasn't caused others to stop reading through the post. // Mankku

Hi everyone! I'm stuck with an assignment in control systems and I need some opinions on what I've got so far. Homework Statement The problem relates to an RC circuit as displayed: The task is to form the differential equation and transfer function for the circuit, with V0(t) being the...

Problem solved? Hi again! I did a units check on the K's and they seem to be ok. The unit of the denominator \frac{1}{C} + R^2 C f^2 turns out to be volts/amperesecond. Furthermore, the unit of the nominators of K1/R and K2 is volts/second, meaning that the unit of the fractions is...

I thought I saw a post telling me that the units of the RCf in K3 eliminate themselves... Checking it, I believe they do... So this would mean that the units are correct in all three terms and the problem might be solved! YAY! I'll have to check this through in the morning when my head is...

Ack! Good point! That simplification isn't valid! Let's see... I used the correct form when deriving the expressions for K1...3, so they should be ok as such... I take it there is no inverse transform for \frac{1}{As + B}? I need to eliminate whatever's in front of the s to be able to inverse...

Well the logarithmic and the trigonometric factors are scalar, so they don't contribute any physical units... So the unit of i(t) (should be amperes) depends on the K1, K2 and K3 factors... Comparing e.g. K1 and K2, K1 has an R in the nominator that K2 doesn't have... Similarly K3 introduces a...

Partial fractions Thanks for the reply! I looked into turning the expression into partial fractions... I still don't think I got the right answer in the end... Anyway, here's how I went about: I(s) = \frac{As*2\pi f}{(Rs+\frac{1}{C})(s^2+(2\pi f)^2)} = \frac{K_1}{Rs+\frac{1}{C}} +...

Hi everybody! This is my first post, happy to be a part of this forum! I have a problem that may be pretty easy to solve, and a few years ago I could've myself, but at the moment I'm stuck. I enjoy fiddling with electronics during my free time, and I'd like to study the use of a capacitor to...