# Questions tagged [linearity]

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### Why do linear components make linear circuits?

We can use the concept of linear circuits to simplify circuit analysis (e.g. superposition & Thevinin’s theorem.) In order to do this, we need a simple way to identify linear circuits. I believe ...
• 23
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### How to linearize logarithmic DC signal?

I am modifying a cheap Chinese CNC mini-router controller to be able to control the spindle speed with a PWM signal. In theory the spindle controller board has all the electronics already on it to be ...
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1 vote
37 views

### Determining Sensor Calibration Method

How to calibrate a sensor that can be affected by humidity? For example MQ-135 as gas sensor (NOx, CO, etc.). According to the datasheet, there are two different curves for the sensor response when ...
• 23
1 vote
198 views

### Linearity and speed tradeoff with closed-loop feedback

This article describes some tradeoffs involved with methods to increase an amplifier's linearity. One of the ways to increase a circuit's linearity is by applying negative feedback, which converts an ...
• 677
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### Can you automatically know if a system is stable or causal based on its components?

suppose i have system with response Q(s) and I know that the systems H and G are LTI ,BIBO stable and causal. can i automatically say that Q is causal and stable?
89 views

### Linearize an OTA audio crossfader

I'm working on a voltage-controlled crossfader. The schematic is taken from this thread on the electro-music forum. It's a simplified version of Thomas Henry's VC crossfader. I've been experimenting ...
146 views

### Transimpedence amplifier with photo-transistor linearity

Given that the irradiance and collector current for a (random) photo-transistor is linearly correlated like below. Then I am wondering why the output voltage graph of the transimpedence amplifier ...
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1 vote
105 views

### How can a system represented by the relation (y = mx + b) be linear?

It is not clear to me how he goes to the conclusion.
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### Counter potentiometer's varying linearity on a microcontroller [closed]

I have a sliding potentiometer and whilst its a linear one, it is not completely linear. I wanted to know if there was a way to filter out the linearity variance using mathematical operators on a ...
286 views

### SAR ADC dynamic range and accuracy

This App Note states: To have the maximum ADC conversion precision, it is preferable that the ADC dynamic range matches the maximum amplitude of the signal. Assume that the signal to be converted ...
59 views

### How is the linearity of a power amplifier related to its power efficiency? T

How is the linearity of a power amplifier related to its power efficiency? The two conceptsdo not seem to have much in common, or do they in this context?
55 views

### Would we like to have a linear circuit application to cause low distortion at the output port?

Would we like to have a linear circuit application to cause low distortion at the output port? What about a power amplifier? Is it necessary for a power amplifier to have only low distortion at the ...
36 views

### AGC (automatic gain control) circuit for brushless phase measurement?

Intro: I am projecting a Brushless motor driver which relevant specs here are basically: use with 6v to 60v. To make it work the circuit's microcontroller needs to analyze the signal that comes from ...
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116 views

### Linear ODE vs Linear System

I'm currently a third year undergrad electrical engineering student studying linear control system and very much confused regarding the term "linearity". Does the term "A linear ODE&...
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### Linear non-causal system

Suppose we have a linear non-causal system with an input x(t) and an output y(t). If the input is zero up until t=a, must the output be zero before to because of linearity? Or can the output take ...
213 views

### What exactly is the intuition behind physical circuits being linear?

After learning mesh-current method for solving circuits, I started reading the wikipedia article on linearity to understand more on the "why?" Reference. In this article, I sort of get why ...
395 views

### Proof of linearity of a transistor

When we deal with a transistor we break it up into two parts, 1 The DC bias. 2 The small signal perturbations. Then we add the currents/voltages from the both the analysis to get the total response. ...
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### three points (two slopes) op amp conditioning circuit

I'd like to get the output on the right when applying the signal on the left to a signal conditioning circuit using op amps. I've got different slopes so I guess I need two amplifier circuits with ...
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142 views

### Linear Circuit and System Interpetation

My question is about interpreting a given circuit as being itself a linear system. We know that a linear system needs to satisfy the superposition principle: if $f(ax_1+bx_2)=af(x_1)+bf(x_2)$. This ...
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127 views

### Does anyone have any idea how to solve this?

Apparently you could use linearity here, but that doesn't make the question any less intricate.
• 101
78 views

### RF amplifier top level design

I am trying to design a more linear amplifier by using less linear amplifiers in a push-pull configuration. IE run the signal through a 180deg splitter, each leg running through identical amplifiers ...
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### How can I find the capacitance value changes that will result in linear tuning steps in a parallel LC circuit?

I've found articles that derive the shape of a mechanical capacitor plate so as to achieve linear frequency tuning for linear dial rotation as in each degree of rotation shifts the frequency the same ...
378 views

### Thevenin Voltage with only Dependant Sources?

If I have a circuit composed of only dependant sources with linear control functions (ie a voltage source with a voltage of bVx, where b is a constant and Vx is some other potential in the circuit) ...
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1 vote
914 views

### Op - Amp: Linearity, Negative Feedback and Virtual Short

I need some explanations about Linearity, Negative Feedback and Virtual Short for an ideal Operational Amplifier. Precisely, I have been always told that an operational amplifier with negative ...
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137 views

### Can linearity of photoreceptor be improved by calibration?

I am trying to determine if equipment I already have can be used to take a reading in mcd/m2, for a quality control test. I have a sensor which meets all the requirements listed in the standard test ...
• 23
115 views

### "Linear" Amplifier

For example, the "small-signal" gain we find for a Common Emitter amplifier is -gmRc, (assuming no emitter degeneration) Rc being the resistance attached between the collector node and supply. Now, if ...
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### Paralleling Multibit current DAC: Improving Accuracy by Averaging

No doubt that if I put in parallel n DACs, multibit (i.e. 16 bit) current output R2R ladder chips, I get n-times higher current at the summing node and the output impedance is also reduced by "n". ...
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304 views

### Why is the frequency of the response same as that of the forcing function in a linear circuit?

Why is the frequency of the response same as that of the forcing function in a linear circuit? What's the case when the circuit isn't linear?
7k views

### How is it that two electric currents can travel in opposite directions on the same wire, at the same time, without interfering with each other?

An Introduction to Information Theory: Symbols, Signals and Noise, by John R. Pierce, says the following: While linearity is a truly astonishing property of nature, it is by no means a rare one. All ...
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### How is it that two electric currents can travel in opposite directions on the same wire, at the same time, without interfering with each other? [duplicate]

An Introduction to Information Theory: Symbols, Signals and Noise, by John R. Pierce, says the following: While linearity is a truly astonishing property of nature, it is by no means a rare one. All ...
• 1,281
186 views

### Linearization of motor's thrust

I'm working with a water vehicle that use four motors to move. They are placed at the corner and are fixed. Hence the movements are obtained changing the speed of each one. The vehicle can move along ...
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### PWM nonlinearity

simulate this circuit – Schematic created using CircuitLab I am using the PIC16F1786 in a current transducer to measure 0-1 Amp DC. I use an A/D converter to measure voltage from a Hall Effect ...
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2k views

### Difference between in-band and out-band 3rd order intercept points?

I am reading the datasheet of this IC. The specification has listed in-band and out-band 3rd order intercept point (Page 11). I ...
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### Why linearise around an equilibrium point?

In the control theory dealt in class I was taught to always linearise a nonlinear system around an equilibrium point, i.e., where $$\dot x = 0$$ However, linearization is a Taylor series expansion, ...
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### FSR linearization when using adc

I'm using Interlinks 30-49649 Force sensitive sensor(FSR), the FSR resistance decrease when the force applied increase. the FSR datasheet has the following graph. Looking into the graph, a 10K ...
• 408
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### Load-line of MOSFET when analyzing triode mode

When we are analyzing MOSFET within a circuit (e.g. as an amplifier) with drain or source resistor we must consider the load line of transistor, like so: When used in triode mode a.k.a. ohmic mode ...
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1 vote