# 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 to show that all power in an RC circuit is delivered to the resistor

I am new to electronics and I've been working my way through the Art of Electronics. I've have been able to complete all the exercises up to this point but I have been struggling on this one. Right ...
67 views

### How do I mathematically model a magnetic levitation system?

I am working on a magnetic levitation system project using PID control, and I am getting confused as to how I am supposed to mathematically model this system for my paper. Where am I supposed to start?...
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### Combining sinusoidal waveforms

Please can someone assist me with how to work this out? I know the answers as this is a practice question, but not sure how to get there. Two AC waveforms are described by the expressions: V1 = 190 ...
1 vote
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### How should fuse selection be made in discrete-time alternating current?

In my circuit,I have a resistive load(Lamp).(Rlamp=1 ohm).At the ends of the lamp is voltage V(t) in the picture.In the picture, there is the first 12 seconds of the signal.But you may think that ...
158 views

### Divide a number by x without using /, %, and * [closed]

I want to design and implement hardware in HDL (verilog) to perform division by 3, 5, and 7 specifically. The aim is to achieve this operation in a single cycle. Are there any general methods to ... 101 views

### How do I calculate an incomplete sinusoidal signal's average value and RMS value?

I couldn't be sure because there are parts with size 0 in the signal.
1k views

### Using a PCB trace as a heater / Hilbert Curves

I'm considering making a PCB to use as a heater for a 3d printer bed. This has been common practice for ~10 years (https://www.thingiverse.com/thing:3919). I was playing around with KiCad and python, ...
59 views

### math conjugate problem

why is the equation on the left equals the right? know would I derive it?
1 vote
76 views

### Frequency Modulation - Why don't we modulate the carrier by multiplying message signal m(t) directly with f_car?

I am master student of computer science and I have got a problem/question from the domain of communication engineering. So: I'm listening to a lecture that's about Layer 1 stuff, and recently we ...
97 views

### Impulse Response of LTI Systems to Dirac Delta

I am reading a book on Linear Time-Invariant systems and came across the following: $$y(t) = T\{x(t)\}$$ where input $$x(t) = \int_{-\infty}^\infty x(\tau)\delta(t-\tau)\text{d}\tau$$ $\delta$ is ...
307 views

### Why is BMC/k-induction used in RTL formal verification?

One popular approach for proving safety properties in formal verification of RTL designs is a combination of BMC and $k$-induction, which appears to stem from "Checking safety properties using ...
1 vote
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### Finding out the magnetic field inside the cross section of the torus which is wrapped by conductive wire and the current flows it

As shown in the diagram , the torus of radius of $~ R ~$ exists . The wire is wrapped around the torus . $$N:=\text{total number of the turns of the wire around the torus }$$ The current is ...
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### Does the frequency response $H(j\omega)$ exist for system with unstable poles?

This question arose from a discussion between me and TimWescott in the comments here. The question is: Does $H(j\omega)$ exist for systems with poles in the RHP (unstable poles)? My own answer to ...
1 vote
130 views

### Conceptual question regarding the Laplace transformation

In preparation for an exam in linear signals and system my instructed handed us a couple of conceptual questions that should prepare us. I ran into the following: Which statements regarding the ...
101 views

### (Almost) Wheatstone bridge

I have this wheatstone bridge: Rmeasure is the impedance of my voltmeter between A and B. My goal is to have the equation of R1/R2. Because Umeasure changes if $R_2$ or $R_1$ changes. the values ...
71 views

### Equivalent resistance in BJT small-signal : Rpi in parallel with Beta*Ib

I'm currently reading Vorperian's book on Fast Analytical Circuits techniques. On page 129 he states : I'm not sure I understand correctly the statement I highlighted in yellow. Is it some kind of ...
202 views

### 555 Timer duty cycle changing formula

I am making a PWM motor speed controller. I used the Astable mode thinking it would work; it did not. Using an oscilloscope I noticed that I am only changing the frequency not the duty cycle by ...
152 views

### Getting the wrong KCL equations in op-amp circuit

I have the following op-amp circuit: simulate this circuit – Schematic created using CircuitLab When I use and apply KCL, we can write the following set of equations:  \begin{cases} \text{K}...
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### Can anyone explain the difference between these two forms of PID controllers?

Usually, when people talk about PID controller, I think of the "parallel form" of PID controllers, I know how it is derived (we just need to add all 3 three P I D controllers together). This ...
832 views

### Help developing rpm calculation from encoder pulses

I have having a bit of difficulty calculating rpm of a motor using feedback from an encoder. The encoder datasheet is attached here: Encoder datasheet. The encoder has two channels at 1000 PPR, so ...