Homework Statement
I am supposed to give a thevenin equivalent circuit to the one posted in the picture.
Homework Equations
V=IR
KVL: "voltage drops around a closed loop sums to zero
KCL: "current into a node equals current out of a node"
The Attempt at a Solution
The part I'm confused...
I just always thought that in order for current to flow between two points we need a voltage difference...
I understand the rest of them... It was only this one I was hung up on
Homework Statement
Which of the following are self-contradictory combinations of circuit elements?
- A 2 Amp current source in parallel with a short circuit.
Homework Equations
KVL- "the sum of voltages around a closed loop amounts to 0.
KCL- "the current into a node equals the current out...
Any more advice? I need to decide ASAP!
Another reason why I'm wary about taking honors is because I've already taken Diff Eq once (long ago in a 5-week summer session where I didn't learn anything) and made a B, so if I take it again and make a B or a C, I feel like it will look horrible even...
Should I take Diff Eq honors which goes deeper and broader into the material and obviously has harder test problems and risk getting a B or C or take regular where I will probably get an A?
What sucks is given enough time I can eventually figure out the hard honors problems but since tests have...
Hi I was reading a project description for a graph theory REU and I got stuck on a sentence I couldn't understand.
Here is the description and I've bolded the part I don't get.
Does this mean to remove vertices from the "other graph" until you've broken it up to G1, G2, and G3 (and maybe...
im a pure math major. But back when i took differential equation the first time I was an extremely lazy engineering major and I just memorized how to do homework problems and the test was exactly like them.
good idea, but if I don't enroll in the course I'm going to have to take 2 other...
Ah, so 1's eigenspace is 1-dimensional (because all eigenvectors that correspond to eigenvalue 1 are linearly dependent), and 0's eigenspace is 2-dimensional (because there are two linearly independent eigenvectors on the plane orthogonal to \vec{v}). And so we know
1≤(algebraic multiplicity of...
Well it is intro to number theory; intended as a transition course to get students used to a little more rigor in preparation for abstract algebra and real analysis. And I've decided if I take diffEq, I would take the honors section which means more theory and less computation.
Well crap, now...
Edit: Or I could take the honors diff Eq which still uses boyce + diprima but goes into a lot more theory...
This morning when I made this thread I was leaning toward intro number theory over diffEq but i looked at the book used for the intro number theory class and it seems wayyyy more...
A(k\vec{v})=k\vec{v}.
So what I was trying to say is that the only eigenvector that corresponds to the eigenvalue k is k\vec{v}. AKA, there is only one eigenvector for each nonzero eigenvalue.
Is this right and does it mean the multiplicity for all real numbers other than 0 is 1?
EDIT: Oh...
Two summers ago back when I was a lazy and all-around poor student, I took DiffEq at a community college in 5 weeks because I had heard it was easier than during the regular semester.
It was easy, but I didn't end up learning anything (mostly my own stupid fault), and now I'm wondering if I...
If \vec{p} is a vector orthogonal to \vec{v}, then A\vec{p}=0\vec{v}=\vec{0}.
The dimension of the subspace of vectors orthogonal to \vec{v} is the plane such that when you apply A to any vector on the plane you get \vec{0}. (I don't know what to call this; I was going to say \mathbb{R}^2...