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]]>

In step #4.....why would they multiply the second term by 8 and not the next sequence....which is 4?

http://www.dailymail.co.uk/femail/article-4702868/Can-pass-intelligence-test.html#ixzz4n94x1UzS]]>

for values of p near 0.5.

The exact solution is

But if D is large, then calculating the ln() in the denominator is problematic.

So I can think of two approximations that should be valid when D is very large (as in something like 2^256).

The first is the approximation that

Why don't these approximations seem to converge?]]>

Thanks in advance.]]>

as image are store in matrix form]]>

Unfortunately, the rules seem to be rather vague (they read like the IRS tax code) and I'm still not completely clear what actually constitutes a significant digit. My understanding is that significant figures refer to the known accuracy of each digit to the right of the decimal point.

For example, if a caliper in a machine shop can accurately measure to 1/1000 of an inch and it measures the...

Question About Significant Figures]]>

View attachment 127902

using implicit differentiation, we find :

View attachment 127903

Now, if we reorganize the terms of the equation, we get:

View attachment 127904

using implicit differentiation, we find :

View attachment 127905

Why is the result different from the first one ?

If we only reorganize the terms, the plot of the equations should be the same (except at the...

Implicit differentiation.]]>

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]]>

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]]>