# Questions tagged [laplace-transform]

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

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### Type-2 compensator transient response

I'm looking to find the transient response to a step impulse of a type-2 compensator. I already found the transfer function, but when it comes to finding the transient response by using the inverse ...
69 views

### 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 ...
333 views

### How do I refer the transfer function of a system from its Laplace equivalent?

I have a problem, I know how to analyze circuits in Laplace domain to get the transfer Laplace function. However, I don't know how to translate the answer to "real life" Suppose that I have a ...
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. ...
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1 vote
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### Circuit analysis - laplace transform

So i have a circuit where R1 = 5 W, R2 = 2 Ω, L = 1 H, C = 1/6 F ja E = 2 V. And i need to figure out what is iL when t=0.5s with laplace transform. Switch opens when t=0 When t<0 i got ...
1 vote
80 views

### What is up with this series/parallel calculation? Inverse Laplace looks strange

I'm trying to find an analytic solution for this circuit. If the cap is inverted (series resistor to ground) the solution is straightforward. In this case I ended up with a strange cos term that makes ...
992 views

### Why is a capacitor to ground a low frequency pole, instead of a high frequency zero?

In building my intuition about how analog circuits relate to the s-plane, I am wondering why a pole emerges from a capacitor to ground, for example in a simple lowpass filter consisting of only a ...
63 views

### How do I find Vo in the circuit?

I1 + I2 = I3 I1 = Vi/Z1 ... Z1 = (1+sCR1)/sC I1= Vi(sC)/(1+sCR1) I2= Vi/R1 I3= -Vo/R1 I1 + I2 = I3 Vi[(sc)/(1+sCR1) + (1/R1)] =-Vo/R1 -Vi[(R1sC)/(1+sCR1) + 1] = Vo How do I change back to time domain?
348 views

### why transfer function of derivative controller is $s$ while Laplace of derivative is not only $s$?

For derivative controller transfer function, it's $K_ds$ but the Laplace Transform of $\frac{df(x)}{dx}$ is $sF(s)-f(0)$. For example if $$f(x) = \frac{dg(x)}{dx}$$ hence its Laplace will be ...
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
1 vote
63 views

### Differential equation of a LC circuit in series with a parallel RLC circuit

I have the following RLC circuit. I am having trouble finding an expression for the natural response of this circuit. I found a similar question, but I was unable to simplify exactly like was done in ...
1 vote
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### Zero Order Hold Bode diagram

Here is the transfer function of the Zero Order Hold and its bode diagram: This transfer function is usually used for modelized a Digital to Analog Converter. Do you know why there is sharp roll off ...
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### Can't figure out this PMDC motor model

I was going through a series of experiments on PMDC motor where I found out the following block diagram representing the system: I'm new to this field and I'm trying to get a little ahead of my ...
1 vote
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### Compensation Loop of a mixed system

I have a system which is a mixed system. The system is an analog and numerical system. I modelized the analog part and I know its transfer function which I do not want to modify. The numerical part is ...
1 vote
290 views

### Two representations of a circuit, what is the advantage?

Usually a circuit or system can be represented by its transfer function in Lapace domain or differential equations in time domain. For example, for the low pass filter below you could express them as: ...
1k views

### What is difference between natural response and zero-input response of a system and how to find natural response?

In most books it is said that natural response is another name to zero-input response while in some resources is is mentioned that the classification is based on poles of transfer function and input....