Tagged Questions

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

learn more… | top users | synonyms

1
vote
2answers
42 views

Is the cut-off frequency for each high order butterworth filter the same or different?

From reading I see that I can calculate my cut-off frequency for a given Butterworth filter using the equations below. Let's say then that I have a 8th order filter, and I'm going to make it out of ...
1
vote
2answers
65 views

High Order Butterworth Filter Math

I'm trying to learn more about high order filter design, with my goal being to design an 8th order Butterworth lowpass filter in spice, then in the real world. I've been reading a filter book I have ...
1
vote
0answers
42 views

In the under-damped RLC Circuit, one constant is imaginary, but there can't be imaginary current

I'm just learning about RLC circuits and all the math makes sense, but one thing has been bothering me. In the derivation of the equation for a underdamped, series RLC, the roots to the ...
0
votes
1answer
90 views

Time domain of a Sine wave?

I am working on a lab in school with a common source JFET amplifier, and I needed to express \$v_{out}\$ in terms of time domain. If \$f\$ is the frequency and \$T\$ is the period, then I need ...
0
votes
2answers
66 views

How does Decimal Mode in an ALU work?

Trying to wrap my head around the basic of how to do decimal addition in an ALU. Here is what I have so far. I am primarily looking at the MOS 6502 CPU architecture. It has two modes in which you ...
1
vote
2answers
322 views

How do you do operations on large numbers using a small fixed-width ALU?

I am wanting to design a simple calculator like what you would find in the dollar store. Something like this: This little guy can display a number 8 digits long, meaning 99999999 is the largest ...
0
votes
2answers
32 views

how to express y(t) as function of x(t) from a given two signal?

is there a simple way to answer ? I couldn't do it by finding the equation of the two signal and then proceed like any problem in math
-3
votes
1answer
34 views

exam problem finding impulse response from a given system? [closed]

I search but i did't find useful way to answer it please how to get the impulse response from a given given system
0
votes
1answer
64 views

Complex numbers manipulation

I have a complex number s of the form s=[1/sqrt(NN\$_{t})] e^{j\phi_{k}}\$ S\$_{o}\$ is another complex number. It is given that |s-s\$ _{o}\$|<= \$\epsilon\$ where 0< \$\epsilon\$< 2 It ...
0
votes
1answer
69 views

OLA adder and signed digit vhdl design problem

I have implemented the following online adder for signed digit using vhdl code and I have simulated my design according to the example table shown in the figure attached the problem is I am not ...
0
votes
1answer
43 views

Calculating resistor wire properties for my projects

I have a few things I wanna do with the resistor wire. They all involve getting approximate temperature using known voltage. I understand that temperature heavily depends on environment, but what I ...
0
votes
2answers
104 views

Online arithmetic with radix 2 addition

I am having trouble working with OLA(online arithmetic addition) radix 2 SD(signed digit) addition MSDF(most significant digit first). If I have an 8 bits range unsigned number and a redundant and ...
2
votes
1answer
106 views

Magnetometer tilt compensation without accelerometer

I need to use the magnetometer in a device to accurately determine how many degrees the user twists (rotates in x-y plane) it. I don't care about absolute orientation, just the angular delta. Of ...
0
votes
1answer
46 views

Any Way of Converting Several 2-Port S-Parameters Measurement to 4-Port S-Parameters

I have a bi-driectional coupler and attenuator (att) in which I would like to capture its s-parameters: So I measured 2-port s-parameters between ports 1 & 2, 1 & 3, 1 & 4, 2 & 3, 2 ...
0
votes
1answer
38 views

Fourier Transform involving frequency differentiation property

Going through some past exams, I've came across this question; To get started, I've noticed that it resembles to the frequency differentiation property; Now, the differentiation was extremely ...
1
vote
2answers
70 views

Fourier Transform help

I have this question here, which I am unsure of my final answer: Firstly, I times the numerator and denominator by the conjugate 1-jt - resulting me in the alternate form of the function Next, I've ...
2
votes
3answers
144 views

Fourier Transform of a half triangle

I have to derive the Fourier transform of a half triangle which is shown here: So far I got the equation of the line as 1-t/T, and now I think that I have to substitute into the Fourier transform ...
2
votes
2answers
133 views

Check my math: Calculating the size of extension cord needed

I think I've done this right, but I don't trust myself. Will you check my math and see if I'm right about this, or correct my error if I'm wrong? The facts I have a device (A Yamaha Stagepas 400i ...
0
votes
2answers
66 views

FWHM of something which does not reach half of maximum?

There is some curve for which I have find FWHM. But the curve does not reach half maximum i.e., its maximum is 1 and it only reaches .7 (but it does have the bell curved shape the filters have). Right ...
2
votes
2answers
119 views

When is it theoretically possible to fit PCB circuit on x Layers (emphasis: x =1)

When is it theoretically possible to fit a given circuit on a certain number of layers? (Presumably PCB layers.) What is/are the name of the mathematics/algorithms that might determine this, or ...
1
vote
1answer
72 views

Electrical Engineering Math, showing time independence? how?

I have a cheat sheet provided by the teacher about the calculation of the Coherence Time, however I get lost along the way. There are 2 paths of a signal at: Path 1: \$\phi_1(t) = ...
0
votes
1answer
45 views

How to calculate the oscillator capacitor value for a switched capacitor (MAX7405)?

I would like to use an 8-order LPF switched capacitor: MAX7405 datasheet The cut-off frequency can be set by simply connecting an external oscillator capacitor, Cosc. I would like to design a 50Hz ...
-2
votes
1answer
145 views

Would it be practical to build a chip that can do this math?

I was theorizing a new kind of 64-bit number for use in data storage, but then started wondering if it could become practical if created in hardware. (I believe it would be too slow if only software ...
0
votes
2answers
76 views

Cascading Low Pass Filter Parameters

I'm trying to implement two cascaded low pass filters in a software application so that I can smooth out a potentially volatile data set. Based on the incoming data, I want a signal to be turned ...
0
votes
1answer
359 views

How to calculate the resistance of a complicated circuit?

I learned in high school the basic rules of how to compute resistance between two points, given a network of resistors. You try to rearrange the circuit so into parallel parts and series parts, then ...
5
votes
1answer
112 views

What's wrong with my boost converter math?

I'm working some equations for a boost converter, and running into a contradiction I don't understand. Assume a steady state, perfect efficiency, and continuous conduction. Total instantaneous ...
0
votes
3answers
89 views

Signal to noise ratio for a non-physical property

The signal to noise ratio for a voltage, current, or power is easy to understand, but how do I calculate the SNR when the signal is not a physical property, but instead an abstract quantity? I'll try ...
0
votes
0answers
46 views

Is there a “integer divide” function in PSIM?

I want to use the "Math function" voltage source in PSIM, and implement a time dependented voltage source, and want to use a "integer divide" function, is there some similar functions in PSIM? ...
0
votes
2answers
44 views

Is there any correlation between eigen functions and eigen vectors of an LTI system?

Eigen functions are the origin for Laplace transform while eigen vectors is for state space representation.Can we relate the eigen concept in these two? The complex exponential functions, are eigen ...
1
vote
2answers
120 views

Simulating accelerometer noise

I would like to create a software simulation of an accelerometer (MPU-6000). As part of that simulation, I need to model the noise on the accelerometer signal. According to the datasheet of the chip, ...
2
votes
1answer
54 views

Converting a summation to an integration

I've seen it done a few times, it's always roughly apparent that "oh yeah, okay, they've dropped this, pulled this there, yeah, okay, kind of convincing" - but I've never why or how to do it for ...
0
votes
1answer
135 views

Number of independent KVL equations in a circuit?

Why, for a circuit with B branches and N nodes, the number of the linearly independent KVL equations for a network is: B-N+1 ?
4
votes
7answers
504 views

How do we know loop currents exist?

I've been practising loop analysis questions, but don't really understand why the method is valid. Say you have a circuit that only consists of resistors and some power source. Assume the circuit is ...
0
votes
3answers
101 views

Why are the Resistance/Resistivity Equations Formulated as they are?

The equation for temperature dependence on resistivity: $$ \rho(dT) = \rho(0)(1+\alpha dT) $$ where \$dT\$ is change in temperature from some reference and \$rho\$ is resistivity. This leads to ...
1
vote
1answer
252 views

Frame size range calculation for stop-and-wait protocol

I have a question and answer below. The answer seems to show less working on how it derived. My question is if the efficiency of at least is changed to say 60%? Will it still be the same answer? ...
1
vote
1answer
121 views

To what extent can Gielis' so-called “Superformula” be used to improve the efficiency of WIFI antennas? [closed]

I am new to this Stack Exchange venue, so please don't shoot me if this question is not appropriate. This question was taken Math Stack Exchange. In 2003, the Belgian plant biotechnologist Johan ...
5
votes
3answers
390 views

How long can I practically power an IC with a capacitor?

If I have, for example, an IC that draws 10mA @ 3.3V, how large of a capacitor would I need to power it for 2 minutes? 5 minutes? I understand that using capacitors to power an IC is not the most ...
0
votes
0answers
108 views

Understanding how bypass caps work, mathematically

Assume there is a band of noises that you you want to filter with center frequency Fn. Then The complex voltage representing noise at frequency F is V_(F, T) = V(F) e^(i W(F) T), where V(F) is the ...
2
votes
1answer
85 views

Is there a convention for the polarity of voltage specified as \$V_{XY}\$? [duplicate]

Inspired by this answer, which includes the image: Which solicited the comment: No, you have the polarity of Vce shown backwards in the diagram [...] The diagram seems consistent to me: the ...
0
votes
2answers
59 views

Are there other uses for the value of RMS current besides heating computations?

For most purposes I've personally encountered, RMS current and voltage have been useful only for computing heat losses in a resistor. Do RMS current or voltage have other applications besides ...
8
votes
4answers
1k views

Mathematical proof that RMS voltage times RMS current gives mean power

I know this is true because I read it in a reputable source. I also understand intuitively that power is proportional to the square of voltage or current for a resistive load, and that the "S" in RMS ...
0
votes
1answer
453 views

Tracking 2D positioning with IMU Sensor

I am using a miniature car and I want to estimate the position. We can not use GPS modules and most of the tracking systems that I saw, are using IMU senson with the GPS module. In our car we are able ...
6
votes
3answers
132 views

How do I size fuses to handle sudden changes in AC line voltage into a capacitive load?

Suppose I have a rectifier on the AC line, followed by some caps and a load. simulate this circuit – Schematic created using CircuitLab If the AC line is suddenly increased, there's a ...
0
votes
1answer
146 views

Capacitor discharge math discrepancy

I'm trying to cross check mathematically the mA being discharged from a .33uF capacitor which is charged to about 1200V by a circuit which is provided 37W of power to it. I do it three ways. 1) ...
1
vote
1answer
633 views

What is the fastest logic gate?

I have been told that the fastest logic gate family is ECL. My first question: Is this true? In this or another family (Depending on the answer to the above question), Is there any particular gate ...
0
votes
1answer
118 views

Affine Non Autonomous State Space system

Normally We all know the state space model of the the form der(x) = F*x(t)+G*u(t) y = H*x(t)+J*u(t). However I came across a state space model which has the following form der(x) = F*x(t)+G*u(t) + ...
2
votes
1answer
72 views

Z-Transform Initial Value Theorem

I have a small understanding of how to solve limits to infinity for regular rational equations, but I'm unsure of how to apply this to the Z-Transform initial value theorem. The equation is: \$ ...
0
votes
2answers
417 views

Average Power Formulas

I've becomes a bit confused with the average power formulas. These formulas can be found on Wikipedia here and here. Let's suppose V(t) = 1V (DC) and we have a square wave for the current that ...
4
votes
2answers
175 views

Salvage data from a reverse connected thermocouple?

My SAE Baja team had a competition this past weekend, and we were using some thermocouples in order to get some temperature data on the drivetrain and engine. They were hooked up right before the ...
1
vote
1answer
401 views

What is the physical meaning of an LC circuit having a negative transfer function?

Say you have an ideal LC circuit: simulate this circuit – Schematic created using CircuitLab The transfer function of this circuit is a complex voltage divider: $$ \frac{\frac{1}{sC}}{sL ...