All Questions
Tagged with math-notation or math
497 questions
-1 votes
0 answers
25 views
For complex numbers in the third quadrant, should you add or substract pi from arctan? [migrated]
I have two books for two different subjects and one of them says that when a complex number is in the third quadrant , you add \$\pi\$ to arctan to get its argument, and the other says you substract ...
- 161
1 vote
8 answers
859 views
Trying to understand the fundamental behavior of parallel connections
I have been taught that elements in parallel will always receive the same voltage. That means that if I have a circuit with an ideal voltage source and two resistors in parallel, and regardless of ...
- 29
3 votes
1 answer
194 views
How does the signal Resistor in a Voltage regulator current booster circuit work?
Example attached. The voltage regulator(LM78xx) circuit uses a pnp transistor to increases the current handling capacity of the regulator. The emitter base junction of the PNP transistor is connected ...
- 41
-1 votes
1 answer
146 views
Finding the mean square
How does one show that the mean-square of \$y = \sin x\$ is \$1/2\$ (and thus find the nominal voltage in alternating current)? I will post my own answer to this question, but others may have other ...
- 333
0 votes
0 answers
83 views
State-space representation model
Can you help me with a state space representation of the electrical network below: simulate this circuit – Schematic created using CircuitLab I'm representing this network in a (mathematical) ...
1 vote
2 answers
89 views
Help Deriving Full Transfer Function for Active Bandpass / Delyiannis-Friend Filter
** I welcome edits for readability. I'm not fluent in LaTex ** I am studying for my PE exam, and was reviewing this YT video: https://www.youtube.com/watch?https://youtu.be/ohuq39EuHVo?si=-...
- 159
1 vote
1 answer
195 views
Gowin 1K PLL Calculation Happy Accident
I have been trying to create a 6 MHz signal output from a 27 MHz system clock using a PLL on the Gowin 1K FPGA. As can be seen ...
- 641
1 vote
3 answers
232 views
Deriving initial condition for a series RLC with sinusoidal excitation
I am trying to build insights for regulating short circuit behaviour in a resonant converter, and started with some basic modeling. I ended up with a series RLC circuit type behavior (where other ...
- 463
1 vote
1 answer
133 views
Calculating explicit transfer function for two diode voltage dividers
I'm seeking to write explicit, non-approximated voltage transfer functions for some diode voltage dividers. Ideally, I want to obtain \$V_{out}\$ purely as a function of \$V_{in}\$ without using ...
- 11
3 votes
1 answer
207 views
Calculating battery life using Peukerts constant
For a long time, I have been calculating battery life of a product with the following equation: Ah/I to give me a ballpark figure. Recently, I heard about Peukerts constant and how it can be used to ...
- 12.4k
0 votes
0 answers
44 views
Hypergeometric functions in Wireless communication: Seeking guidance for Performance analysis
I am transitioning from pure mathematics to wireless communications and am particularly intrigued by the mathematical challenges in analyzing Nakagami-m fading channels. These channels are widely used ...
- 109
1 vote
1 answer
75 views
Why isn't the method of assumed states working here?
This is the circuit. . Let us use the method of assumed states. Considering the diode ON There is no current flow across the 2k resistor. $$I_D=0$$ So, the diode is not ON. It is OFF (verified). ...
- 217
0 votes
1 answer
107 views
Is \$i(t)=i(\omega t)\$ always valid in power electronics?
This might be an easy question but it really confused me when reading Hart's Power Electronics, especially while dealing with differentials. For example, the following image is from the book's page 90:...
- 133
0 votes
0 answers
84 views
How to calibrate a NTC Thermistor using a manipulated Steinhart-Hart Equation?
I have a NTC Thermistor setup in a voltage divider to with a Arduino such that it can read me the temperature using the Steinhart-Hart equation. I initially calibrated the thermistor and measured its ...
4 votes
4 answers
1k views
How to choose correct resistor values when designing a circuit?
I have designed this voltage divider circuit. The idea was to ensure the 5V LED (L1) and the 3.3V LED (L2) receive the correct amount of current so that they do not burn up. So far I figure the ...
