If we say that x=y, then the method of taking a cross product between a vector perpendicular to the plate and the E-field works for both c and d, doesn't it? Or did I just miss something when I did it?
1. We are given a static system of conductors and charge. We know that x=y is a plane of equal potential (for example, a system that can give such result is an infinite plate in that plane). Which of the following fields can represent an electric field of such system?
a. \vec{E} = az\hat{x}...
I did this problem so long ago, I'm not sure if I remember everything correctly.
However, I did notice you say E=mg. Actually, since F=mg and F=qE, your equation would actually be qE=mg. You have the charge of the object, therefore, you can solve for the electric field. I'm not sure how you...
I am having trouble finding information about decomposing a complex symmetric positive definite matrix. I was wondering if the cholesky decomposition would change to accommodate complex numbers. I understand that multiplying, dividing, and taking the square root of complex numbers is not the...
I am having trouble finding information about decomposing a complex symmetric positive definite matrix. I was wondering if the cholesky decomposition would change to accommodate complex numbers. I understand that multiplying, dividing, and taking the square root of complex numbers is not the...
Thank you all very much. I was not familiar with DeMoivre's Theorem at all. I have seen Euler's identity, however.
In response to maze, I have no idea what happens when you raise a complex number, z = length 1 to higher and higher powers. I can't even begin to make an assumption of what would...
I was looking around a little bit for an algorithm that would compute a complex number to the nth power.
Can anyone supply me a resource that covers this? I wouldn't imagine it being different than some sort of (x+y)^n formula.
Thanks in advance.
THANKS!
I had a look at this before, but I didn't really understand it, so I looked for simpler explanations. It took my stupid self about 30 minutes to fully comprehend what it was saying. I really had to read slowly. lol. It is very brief, but rightfully so. Not much more explaining needed...
I looked through that as well, but it says that it is equal to A*inverse(B)...but like I said, I cannot calculate the inverse of B. MatLab itself won't do it for me if I write the command line, so I don't see how it completes the matrix division calculation without finding the inverse of B.
It...
As far as I know, matrices cannot be divided, you have to multiply one matrix by the inverse of the other...I believe.
However, I am converting MatLab code into ANSI C and MatLab apparently divides two matrices. An example is the following...
>>A=[1.5708 1.5708];
B=[0.4937 0.7652];
A/B...
If I were given a complex number, such as
12/(12+3i)
in order to find the real and imaginary parts of the number, I assume that I cannot just reduce the fraction and say the real part is 1 and the imaginary part is 4. I can almost guarantee that this will not calculate the correct answer...
Don't over complicate the problem. There is no friction, so all energy is conserved within the system. Think of the relationship between potential and kinetic energy and how they are converted into each other. Also, since there is an elastic collision, you need to use some momentum equations...