Vrms = square root of ( (1/T) * integration(v(t)^2))

Integration boundaries: 0 to T

even if v(t) is under the x-axis due to charging a...

Complex voltage and current RMS Values & complex power]]>

I started working on the resistor cube problem that we started thinking about in the resistor grid thread. Here are some results:

Code (Text):

- Resistor Mesh Cube
- ------------------
- N V R
- 1 4.000000 8.333333
- 2 3.255814 10.238095
- 3 2.967581 11.232493
- 4 2.813628 11.847100
- 5 2.718043 12.263726
- 6 2.653020 12.564298
- 7 2.605965 12.791168
- 8 2.570354 12.968384
- 9 2.542474 13.110588
- 10 2.520060 13.227196
- 20 2.418082 13.785033...

In this question, I have used the formula (a-b/b)*100 to solve the problem.Unfortunately it was wrong. I want to know the concept for applying each. In other words, I want to have ta clear understanding when to apply the correct formula.

UK FRANCE

View attachment 127012]]>

For those that like solving networks here is a not too difficult one that only involves resistors and a single voltage source. However, there are a lot of resistors

The resistors form a nice symmetrical grid too.

So see what you can come up with, and see if you can figure it out in whole or in part without actually calculating too much, or if you feel you have to calculate a lot then go right ahead and do so. I can assure you it is interesting.

In this simpler example,...

Resistor Grid Voltages Challenge]]>

So it got me to pondering the following problem:

If I have a diode that obeys the diode equation ideally (i.e., no equivalent series resistance and no heating effects) that conducts 1 mA of current with 0.7 V across it at room temperature, what is the voltage across it when every electron in the known universe is flowing through it every second?

What...

The power of exponentials]]>

A common example of time domain plot is a sine waveform of the displacement of an oscillating system (such as a pendulum) VS time.

However, what is the frequency domain? I've looked it up on line, however the explanations are theoretical and vague. So I'm interested in an explanation in your own words rather than just posting a...

What Is The Definition Of "Frequency Domain"?]]>

I was fooling around with an old formula i came up with for calculating the inductance of a coil and was comparing the results to several other formulas, including one i found on Wikipedia. The formulas involve complete elliptic integrals of the first and second kind. I then went back on the web and looked for the formula for the integral that usually just goes by the name "E" and comes in two forms, E(a,x) and just E(x). The form which i need is E(x) but it comes from...

Interesting Math Dilemma, Elliptic Integral 2nd Kind]]>

In other words what are all situations that result in a negative number appearing inside the square root sign.]]>

The lowpass is basically a voltage divider, hence Vout=Vin*Z/Xc

rearrange: Vout/Vin=Z/Xc

The corner frequency is where the voltage drops by sqrt(2) (and power by half):

1/sqrt(2)=Z/Xc

reactance Xc is 1/wC

impedance Z:

Z=17k-jXc=17k-j(1/wC)

substitute:

1/sqrt(2)=(17k-j(1/wC)) / (-j(1/wC))

solve for w:

w=-j(sqrt(2)-2)*(1000/51)=-j1148.60

f=w/(2*pi)=182.806i

to polar:...

calculating RC corner frequency the hard way]]>

In the example on the image, there are 3 nodes on the horizontal axis (Nx=3), and 14 nodes on the vertical axis (Ny=14), but I would like to know if there is an analytical solution for any numbers of nodes along both axes (for any Nx and Ny).

The solution for Nx=1 is quite trivial, it is simply: Req=Ny*R.

But do you think it is...

Honeycomb electrical circuit]]>

Thank you]]>

The question is to compute the phase angle and the answer was is arc tan ( V L / V R) according to the diagram on the picture

but how did they find this fornula or the proof of this formula what what phase angle is exactly meant.

View attachment 124213]]>

I have seen the small-signal equation for output dc link of an inverter as can be seen in following figures in an IEEE paper.

I understand the equations until (14). But can't understand how the laplace transform of 14 has led to 15. Can you help me please?]]>

I've seen the answer is (3^n)+1 but didn't really understand why.

I'll be happy to see the explanation]]>

my system will measure voltage and current in discreet (A to D) points.

I need to calculate the Real Power, VARs, VA, PF and frequency, and then total energy consumption(real power * time)

I have Real Power as the average of the Volt x Amp column

(1/418) x ∑V(n) * I(n) n= 1 to 418

I expect in the code this...

Discrete power calculations for Microcontroller]]>

As my title says, I am trying to make the curve (right side) of the attached red object smooth.

I created this object with Blender and using points as shown attached. The right side of the object has the following data:

x = [ -0.98438 -0.97396 -0.96094 -0.94271 -0.92188 -0.90104 -0.88542 -0.875];

y = [0.7 0.6 0.5 0.4 0.3 0.2 0.1 0];

The above data have been chosen to match the design. I managed to draw it in my Android app successfully using OpenGl. The actual process is very...

Smoothing 'jagged saw-like' patterns of a model]]>

This difference equation incudes a shifted and scaled versions...

Difference equations in DSP]]>

Assuming you have 2 coordinate systems:

A system (A) whereby [0,0,0] (X,Y,Z) specifies the center of the frame, [1,1,0] is the top right corner of the frame and [-1,-1,0] is bottom left corner of the frame. Another system (B) whereby [0,0] is the top left corner of the frame and [1,1] is the bottom right corner of the frame.

How would you convert a (x,y) coordinate from system A to system B? I need to convert this as I will have to pass this to a method to display stuffs in a...

coordinate system mapping]]>