# Questions tagged [laplace-transform]

Questions regarding or involving Laplace Transforms with respect to Electrical Engineering.

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### Who was the first person to use Laplace transforms for circuit analysis?

I am an electrical engineering student and I have been using Laplace transforms for circuit analysis. I would like to know: who was the first person to use Laplace transforms for the analysis of ...
41 views

### How to measure a DC motor's inertia

I want to measure the inertia of a DC motor. However, I have no idea how to measure or calculate this. I need the inertia to determine the numeric transfer function for voltage to angular velocity. ...
98 views

1 vote
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1 vote
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### Reverse Engineering Filter Laplacian Equation from Bode Plot

I am dealing with a particular filter that I was told has the response curve shown below in red. I am trying to figure out how quickly this filter could settle to n-bits from a step function input. I ...
62 views

### Laplace transform, How to calculate the output of a system to a infinitely extending signal?

I need to calculate the output of a system given as \begin{align*} H(s) = \frac{s}{(s+1)(s+2)} \end{align*} For an input \begin{align*} e^{3t} \ \ \ \ \forall \ t \end{align*} I currently ...
126 views

### Help with inverse Laplace of a circuit solution in time domain

A part of a circuit has the transfer function in s domain as: H(s) = R / (s×R×C + 1) V(s) = I(s) × H(s) and the input is a pulse current with an area: 1, pulse duration: a and amplitude 1/a. And its ...
1 vote
84 views

### How to calculate inverse Laplace of this response function?

Sorry for my English in terms of control theory - up to now I used only German phrases in that field. There is a controlled process of order 2 with $$F_p(s)=\frac{1}{(1+s)^2}$$ which shall be ...
52 views

### Discrete $z$-transform for deriving transfer function

I have a discrete linear system that reads as follows: $$x_{i+1} = A x_{i-1} + Bu_{i-1} \\ y_{i} = C x_i + Du_{i}$$ The first equation is supposed to denote the discrete time evolution of some ...
138 views

### 2nd Order Differential circuit convert to Laplace domain

The circuit is closed At t = 0 , initial state of capacitor v(0-) = 1v and inductor i(0-) = 0A. My problem is when I convert this circuit into Laplace domain resistor become 2 and inductor become S. ...
48 views

### Why ROC is important in Laplace transform

For example there is a function 1/s where ROC is Re(s)>0, but why is this important and what we can see from ROC? What is the practical reason we calculate ROC, when it doesn't contain poles?
363 views

### Q: Homework - Past exam solution Is this the right solution?

I am trying to find Vo but I am not sure If this solution right? Is there a shorter path to find Vo? solution
241 views

### Thevenin of DC circuits with inductors and capacitors

Can I use Thevenin's theorem for DC circuits containing an inductor or capacitor upon application of Laplace transform - bringing the entire circuit to the $s$ frequency?
1 vote