Recent content by BeRiemann

Try your luck with a polar transformation if you want to save time on the integral.

I'm still at a loss with this problem :/

Well we need to know Dim(V) = Dim(W), but what I'm curious about is if we take the dimension from the general mapping P2 to M2(R) or from the actual transformation. We're not actually onto if we consider the general mapping, but we're onto if we consider the subspace mapping. The other way to...

Yes, the range itself is a three dimensional subspace of the four dimension space of 2x2 real matrices. I'm just not sure if it's an isomorphism.

The transformation itself is P2 →M2(ℝ) T(ax2 + bx + c) → Matrix(a11 = -b-a, a12 = 0, a21 = 3c-a, a22 = -2b)

Homework Statement We're looking at a mapping from P2 (polynomials of degree two or less) to M2(R) (the set of 2x2 real matrices). The nuance here is that the transformation into the matricies is such that its basis consists of only three independent matrices, making its dimension 3. This...

I'm not familiar with delta-Y conversions, but I'll have to take a look at them if they're useful. I was thinking along those same paths for symmetry, my biggest obstacle was just knowing if it was actually a valid technique. Thanks!

I'm asked to find an equivalent resistance and the current through each branch of the following circuits. (r is a fixed arbitrary value for all resistors in the circuits) Homework Equations V=IR Sum of I at a node = 0 Sum of V about a closed loop = 0The Attempt at a Solution I've been playing...

As a reference I'm trying to do this http://www.physics.upenn.edu/courses/gladney/phys151/lectures/lecture_jan_17_2003.shtml#tth_sEc1.3.3 but with electric potential in a general form.

Homework Statement This is primarily a question that I'm trying to program into python. I want to know the potential at some distance (x,y) from the center of a square plane. Homework Equations V = integral (k/r) dq The Attempt at a Solution The way I see this mathematically is a...

Ah, I took the convention that flux out is negative and flux in is positive.

He's not keen on us using triple integrals yet, so I'll have to use the substitution. So in this case would the answer actually be (a^2)(b)((-sqrt(2a)) + (sqrt(a)))?

Yes, another vertex is at (0,2a,0), I don't have a scanner with me to upload the visual. The other vertexes are at (0,a,a), (0,2a,a), (a,a,0), (a,2a,0), (a,a,a), (a,2a,a). If it's just a scalar is my answer simply the integral at (0,a,0) minus at (0,2a,0) where v = a^3? I think that's what I did.

Homework Statement An E-field is given as \vec{E}y = b\sqrt{y}\hat{j} V/m. Find the net flux through a cube with vertex at (0, a, 0) and side lengths a. (A picture is attached, but it is essentially the cube that would typically be at the origin, shifted along the y-axis by a units) (You can...