# Questions tagged [step-response]

For questions about the step response of an electrical system, which is the response of the system in the time domain to a unit step function input. Important characteristics of the step response include rise/fall time, overshoot, ringing, and settling time. Consider using in conjunction with related tags such as "rise-time", "control-theory", etc., if applicable.

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### How to sketch the waveform of the voltage across capacitor and find equation that describes it? [closed]

Below DC voltage source, a switch, resistor and capacitor. At time $t=0$, $C$ has zero voltage across it and switch is closed. How do I sketch waveform of voltage across capacitor v/s time and ...
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1 vote
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### 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 ...
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### How to calculate natural frequency and zeta of underdamped, 2nd order system if only given experimental data?

How do I estimate the values of $K$, $\zeta$ and natural frequency, given the plot of unit step response of the system in time domain? I figured that at $t = \infty$, $Y(t) = K$ and I ...
69 views

### Graetz diode bridge with series LC circuit oscillation problem

I am trying to understand a problem I have encountered. I simulated the voltages on a Graetz diode bridge with a step voltage input of 24 volts. The schematic and the voltage signals are given below. ...
1 vote
224 views

### High pass filter: Overshooting before attenuation

Working with a 2nd order Sallen-Key high pass Butterworth filter with a cutoff frequency of $f_c=0.5$ Hz I am having difficulties making sense of a result that I got: After applying at its input a ...
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### Harmonic response of PID only works if multiplied by a large number?

I am trying to control just one motor using a H-bridge as shown in the picture (one motor only). I am attempting to use PD control, but for some reason I only obtain a sin wave when I multiply sin(x) ...
74 views

### Using lag-compensator to get good system response - RHP zero

I am designing a velocity controller for a balancing robot. The most important thing for the robot is to maintain balance, so I would prefer a slower response velocity response in turn for a steady ...
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### Velocity control system is stable even though CLTF has a pole at s=0?

I was reading about steady error calculation for system with H(s) having Nth order Zero at s=0. In book it is written that steady error calculation is meaningless when closed loop transfer function(...
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### Finding the output time response of a transfer function with a step response

The question is finding the output time response of the transfer function below. I solved that it is an underdamped response. The step response is 1/s. $$T(s)=\frac{20}{s^{2}+6s+144}$$ According to ...
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### Can I remove my step response overshoot?

I am working on a balance controller for a robot. I found the open loop transfer function between the motor voltage and robot pitch angle: ...
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1 vote
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### RC filter impulse response is exponential decaying but inverse Fourier is Sinc function

As we all know that the inverse Fourier transform of a frequency domain unit pulse/rectangular function (which looks like low pass filter) is Sinc function. So, I was under the impression that any low ...
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### How can I find the current in the resistor,when I found inductor current in this question?

Previous part of the question, I found the inductor current (from natural and step force). But here, I think it asks 10 ohm resistor's current. How can I find it ?
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### What happens when the direction of initial current through an inductor is opposite of the direction of applied current?

I am having trouble understanding the behavior of current through an inductor when the direction of applied current is the opposite of what is initially flowing through it. An example is that when an ...
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### Homework: RL step response

I am seeking guidance on this problem regarding RL circuits because me and my study group are getting two different answers and we don't know why. Question: After being open for a long time, the ...
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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 ...
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1 vote
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### 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 ...
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### 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 ...
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### 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 ...
603 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-...
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2k 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 ...
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### 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 ...
1 vote
248 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 ...
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