# Questions tagged [step-response]

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### RLC circuit: how to find voltage/current derivatives and derive differential equation

Trying to resolve differential equations for RLC-networks, I'm always stumbling upon the voltage/current derivatives. Here I would like to give two examples from the same textbook and explain my ...
69 views

### Parallel RLC Circuit: how to write differential equation?

Please consider the following circuit: At t>0 this circuit will be transformed to source-free parallel RLC-circuit, where capacitor voltage is Vc(0+) = 0 V and inductor current is Il(0+) = 4. Now is ...
83 views

### Ordinary LED response to nanosecond pulses

Can anybody explain to me the output waveform generated on pins of an ordinary LED when it is exposed to very short light pulses? I can clearly see that there is a precise difference in the length of ...
49 views

### Total response of a first order RC circuit

I need to find the step response (steady-state + natural response) of the given RC circuit. The step is at t = 0 secs, that is, where Vp is a constant. I found the time constant to be I am stuck ...
68 views

### How to calulate mosfet response time with load?

I would like to calculate the response time of a PMOS circuit and of the circuit Could you tell me how to do it? I'm using this transitor. https://www.infineon.com/dgdl/Infineon-IRFR6215-DS-v01_02-...
25 views

### Transfer Function For Electronic Pressure Regulator and a Step input

I was wondering if I could have some help in how to determine the transfer function for a Proportional Pressure Regulator. (VEAB-L-26-D7-Q4-V1-1R1). I have done a basic instrumentation and control ...
78 views

### Relationship Between Root Locus Pole and Percent Overshoot and Gain in MATLAB

I have a peculiar confusion regarding the relationship between a closed-loop pole on a root locus plot and its gain and percent overshoot. I have found a point on the root locus plot that MATLAB ...
30 views

### Step response of Series RLC circuit

Can we solve this question by using KVL to derive characteristic equation and passive sign convention at t>0 rather than using derived formule. p.s. the response I(t) is underdamped. I am having ...
32 views

### Characteristics from transfer function

All! I am trying to figure out characteristics of a second order system The system is (for example) And its characteristics for an unit step input are I want to solve this equation by hand and ...
99 views

### Bandwidth and stability of nonlinear circuit

I'm designing an antilog amplifier which produces an exponential output (0.4 mV to 4 V) for a 50 Hz sawtooth input waveform (4 mV to 4 V ramp). If this were a linear circuit, I could determine the ...
47 views

### Controller for RC Filter

My class was asked to implement in MATLAB, a controller for an RC filter configuration with output response: 4/(s+3) The controller should give an output response whose steady state is 1 to unit ...
110 views

### Find transfer function and step function for this circuit

Can someone help me to find the transfer function of this circuit (i want to have the tension through the capacitor I think) and the step response in order to get the voltage in the function of the ...
42 views

### Calculating input voltage required for a series of capacitors to reach a a certain voltage in a certain time

just had a question regarding a system of capacitors. Its from the EE263 Introduction to Linear Dynamical Systems, Stanford University, 2008 Prof Boyd. If I have the step response and eigenvalues of ...
116 views

### How can I estimate TL431 output voltage swings based on datasheet alone?

I am trying to design a series-pass regulator that brings 12V down to 3.3V. If I see a 20 mA step change in current, I would like to stay within a certain output voltage range (±2%). What parameters ...
92 views

### Analyzing circuit with dirac delta current source without using Laplace transformation

At $t=0$ the switch is closed and $v_o(0)= -5 V$. The problem asks for $v_o(t)$. I did it using Laplace method and get $$v_o(t)=5+10\,e^{-2t}$$ which does not even satisfy the initial condition,...
44 views

### Determine the impulse response of the following discrete system

I'm not sure how they got the answer (provided below) for the following discrete system y[n] = x[n]- 2x[n-2]+ x[n-3]- 3x[n-4] the answer is given as .... h[n] = [1 0 -2 1 -3] why is this? any help ...
752 views

### PI Controller Design (Ziegler-Nichols) and Unit Step Response Graphing for 4th order system

I have a system that requires a PI controller designed using the Ziegler-Nichols Methods. I would also like to plot the unit step response in Matlab, but I am getting extremely weird results. This is ...
83 views

### What is the relationship between an amplifier's step input and the frequency sweep response?

What is the relationship between step input response and the frequency response of a system such as an amplifier? I see similarities between the step input response of an amplifier and the frequency ...
105 views

### Analysis of BJT transistor - is a linear analysis possible?

Since semiconductors aren't passive components, can I realistically derive analytic solutions for a circuit with BJTs? I know this may seem like a very naive question, but am I on the right track with ...
143 views

### Gain of an experimental first order step response

I have a pwm driven DC motor control system with magnetic encoder that measures the output shaft speed and outputs the RPM values every 50ms over serial comms to plot a graph of RPM vs Time. The ...
310 views

### Equivalent Inductor Equation (Antoniou Gyrator Proof)

I've been working on a proof for University and I've been able to understand most of what I was asked, but I'm having trouble understanding why is it that the equivalent inductor in an Antoniou ...
92 views

### Would a current feedback op-amp work well as a precision ground reference?

I've been looking into precision ground reference circuits to form ±5V rails from a 10V supply for a project I'm working on, and noticed that current feedback (CFB) op-amps have some desirable ...
1k views

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### how to solve electric signal noise using lest capacitor size or no capacitor at all?

I have a chip that I use Arduino to program. The chip takes the voltage as an input. I have 10 lights as an output according to the range of the voltage one of the light turns on and the other ones ...
390 views

### How to find the step and impulse response of a circuit with a diode

I have a circuit similar to the following: simulate this circuit – Schematic created using CircuitLab I am trying to find the impulse and step response mathematically. I know I can split the ...
7k views

### over and critically damped systems settling time

I know that for second order systems the settling time(St) equation is: So my question is, should this same formula be used when the system is over or critically damped? Is it right to use it in that ...
124 views

### identifying overshoots in given state space system with step inputs

Suppose I have the following state space system: $$\dot{x}(t) = Ax(t) + Bu, \quad y(t) = Lx(t), \quad x(0) = x_0\neq 0$$ where $A$, $B$ and $L$ are real matrices, $u$ is a constant real ...
1k views

### Plotting step and impulse responses on Matlab

I'm trying to graph a simple response function: 1/(1-0.5s^-1) Now, I know that the function can also be written as: s/(s-0.5) ...
1k views

### RL circuit Step-Response Equation explaination

Im having difficulty understanding the integral calculation in number 4. How does (Response) section of "V/L" convert into "V/R"? Where does exponents go? The last equation is from the textbook. *I ...
145 views

### optimal low pass by trial and error?

After opening an old webcam I found a lens with a magnetic socket, which is used for autofocus. A coil moves the lens in and out to adjust sharpness. I recently mounted that feature onto the ...
117 views

### Finding some variables in a second-order circuit?

Can any one please help me solving these questions .. I always get a wrong answers :/ The first order circuit is much easier than this one !! This is my answer : for the first time i thought it ...
2k views

### Step response and time constant of RC circuit with multiple capacitors

I need to find the step response and the time constant of the given RC circuit: : Can anybody please share the method to solve this circuit? Also, if R1=R2=R and C1=C2=C; then is the step response a ...