# Questions tagged [math]

Math or Mathematics is the abstract study of topics such as quantity (numbers), structure, space, and change.

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### How does an XOR phase difference detector behave when input frequencies are different?

How does an XOR phase difference detector such as AD8302 behave when input frequencies are different? Does it give meaningful results when the frequencies are close but different? Is there a simple ...
65 views

### How do I calculate how long it will take for a capacitor to discharge when shorted?

If I know the capacitance, series resistance, and the voltage it is charged to. I tried using a graph y=x/0.003 Where y is current and x is voltage, but now i'm lost, because I don't know where to put ...
67 views

### Energy consumption of mathematical operations

Are there any general estimates of the (relative) power consumption of mathematical operations in electronic circuits? Surely, this is chip-dependent, but for example, ...
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### How to Select Prony Method Order?

I'm implementing a Prony decomposition to analyse power system signals in python. I think the code is generally working, but reconstructing a signal from the decomposition shows that it's not "perfect"...
54 views

### Why don't these even/odd mode transmission line results math up?

In Pozar's Microwave Engineering, he analyzes the Wilkinson power divider using even-odd mode analysis. His results match the expected values and power conservation is satisfied. Similar derivations ...
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### How can I calculate the sparks when I discharging a big capacitor?

Several years ago I've tried to find answer to this question but I couldn't find the answers. I hope you help me. Because my job I have to discharging constantly "big" capacitors ( 400 vdc, 300 ...
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### Capacitor constant power charge, constant current discharge curve

I have an (ideal) capacitor that is simultaneously being charged through a DC/DC boost converter (assumed constant power $P_{in}$) and discharged through a linear regulator (assumed constant current ...
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### Calculating differences in gyro values

I want to draw a distribution of the change in gyro values (my values are coming from android). I read here that magnitude is relevant. I came up with 2 ideas for formulas, but can't quite make sense ...
100 views

### What is the RMS value of this waveform

I would like to know what is the RMS value of this waveform. I would like to see the mathematics. I ve done the mathematics but it seems that the result has a lot of terms ... If some approximations ...
71 views

### Fourier Series Concept

Hello, I am learning about the Fourier Transform, and I can do the math, but I'm having trouble with the fundamental concepts. From my understanding, the Fourier transform allows us to see the ...
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### Delay between steps, given speed in mm/min [stepper motor]

I'm building a device that have to move in orders of thousandths of mm per minute. I've got suitable stepper motor and driver, it is working correctly but I'm unable to figure out the formula needed ...
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### Why are complex numbers used in electrical engineering? [duplicate]

When I was in high school, I asked a physics teacher "Why do we use complex to calculate stuff with electricity?" (something along that line) and he said "Because it just happens to work" without ...
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### Battery Charge and Discharge Time Calculations

I am performing some calculations but struck with confusion whether I am doing it correct or wrong due to contradictions of these calculations on different calculators websites. I hope here someone ...
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### Math steps to get to answer

I have a issue understanding the math steps used to simplify an equation after deriving it. I would be grateful if someone would show all the steps taken to get from equation 1 to equation 2 shown ...
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### Calculate battery discharging time?

Being far enough from everything about electrical engineering and so on, I'm sorry in advance for a dumb and possibly asked here in threads earlier such question. I have only the next data on ...
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### Why is RMS used for P=VI (where there are no squares)?

I understand why RMS values are used for $$P = {\bar{v^2} \over R}$$ because $\bar{v^2}$ would be the "MS" so to speak, and then by square rooting we get the "RMS" ($\sqrt{\bar{v^2}}$), which ...
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### Laplace Transform Question

looking at laplace transform for electrical applications, I don't understand how the provided answer works? Like how did they get the e^(-sT), through using the laplace conversion table? And also, ...
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### Observability matrix different forms

The observability matrix formula is present in two forms in textbooks. My question is about which one to use. the first one: the second one: Now when applying both on the same system, I get ...
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### Is a CPU declarative?

I know that this might seem like a stupid question, because declarative is not really an electrical term. I'm having a discussion (argument) with someone who is a functional programming fanatic, and ...
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### Is there a mathematical proof that reactive power regulates voltage?

So after studying the power triangle and trying to conceptualize real power and reactive power, I seem to have come across a contradiction, at least in my own head. Most explanations disregard ...
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### How does shifting Product/Divide Block work?

I've just learned about PID MRAC using MIT Rule, and to build it in Simulink I need to use the Product/Divide Block. https://www.mathworks.com/help/simulink/slref/product.html This is a figure from "...
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### Syntax of complex numbers [closed]

In inductive reactance equation $X_L = j2\pi fL$, why do we write "j" in front of "2πfL"? Does it matter where we put it? Could you show me example where denoting real and imaginary number makes ...
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### Difference between four matrices of state space?

I already know that there are two common types of representations used for mathematical modelling. One is transfer function and the other is state space. When dealing with state space representation, ...
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### Question about the accuracy of integrated resistors

I'm studying the implementation of resistors in integrated technology. In particular the books deals with the accuracy of the obtained resistors. It says: Then it says: "We observe that the value of ...
92 views

### Efficiently calculate $-x-y$ using a single adder

I would like to know if there is an efficient way of implementing the operation $-x-y$ on an FPGA using only a single chain of adders or subtractors, roughly equal in length to the maximum number of ...
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### please explain this fourier equaton

reference from here why are there 2 exponential terms on right side of equation in red box ? i know euler identity but why does ,the left side is trigonometry form when n=1 equal to exponential ...
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### Trying to find value of two capacitors using resonant frequencies in three conditions, but wrong formula is derived

I was trying to find capacitance of two capacitors in the following way. Connect each capacitor individually to a same inductor and find resonant frequency in each case. Connect the same capacitors ...
160 views

### Diode sine wave shaper - location of break points

I'm attempting to generate a sine wave from a triangular wave using the diode breakpoint method where the sine wave is approximated by multiple straight-line segments. Where should the breakpoints be ...
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### Implementing an absolute value function in C

I am implementing a function to find the absolute value like this: uint16_t absolute_value(int16_t n) { int16_t mask = n >> 15; return ((n+mask)^mask); } ...
758 views

### How to find the right smoothing capacitor for rectification circuit

I am creating a power supply which will need to convert the 24vac to 5vdc. I am thinking of using a rectifier to convert ac to dc, then a capacitor to smooth out the voltage, then an LM2596-5 to drop ...
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### How to convert T matrix to Z matrix in two port network?

How can I transform a T matrix to become a Z matrix for a two-port network? I found the following conversion to get the T matrix from Z matrix from here : https://www.tutorialspoint.com/...