a) I know the invariants are $\mu = \frac{0.5*m*v_{perp}^2{B} $ and $J = v_{parallel} x
b) I used the invariance of $\mu$ to get the following equation:
$$ v_{perp}^2 = v_{perp,0}^2(1+\alpha(t)^2 z^2) $$
I am thinking of using the Lorentz force to get $v_z$, but I'm not so clear on how to go...
I think I was doing this for the diagonal parts of the tensor, the formula gives the radial distance from the axis as the term to multiply the mass of the particle, which is what I believe I found for each axis.
Homework Statement
The ammonium ion NH4+ has the shape of a regular tetrahedron. The Nitrogen
atom (blue sphere) is at the center of the tetrahedron and the 4 Hydrogen atoms
are located at the vertices at equal distances L from the center (about 1 Å). Denote
the mass of the hydrogen atoms by Mh...
Yep! That was the issue. I believe this gives a complete solution to the problem. I see how the Poynting flux in L behaves like the Poynting flux in C.
So based on this, I get the following result after integrating over surface area and time:
U = -Lr ∫I*dI/dt*dt
I believe the energy stored in an inductor is given by the following formula.
U = (B^2*l*A)/(2*mu)
Are these equivalent? Should they be equivalent, as the integral of the Poynting...
Thats interesting, so to go about solving for the energy stored in the magnetic field, here is what I was thinking:
B = mu*n*I
E = ?
S = E cross B /mu
Integrate S over the surface area of the cylindrical space inside the solenoid (?)
So the two issues I am having are that I am not sure what...
Hi everyone,
Lately I have been studying the Poynting Flux and I am familiar with the classic examples of how it can be used to describe the power being dissipated by a resistor and the energy flowing into a capacitor, but I have never come across a similar analog for how the Poynting flux...
Sure, I've taken all the lower division courses (differential equations, linear algebra, and calculus) and now I'm looking at upper division linear algebra, and algebra, mainly. Below is a link to all math classes, I can take any numbered from 110 to 199.
https://www.math.ucla.edu/ugrad/courses
Hello!
I am an undergraduate physics major with a minor in mathematics. I'm very interested in accelerator physics and would like to pursue a PhD in it eventually. However, I am not sure what math classes would be best to take for this. For our math minor, we can take any five upper division...
That was the main problem. I was using a USB2000+ spectrometer to measure the transmission of light that was coming through a fiber optic cable. I'm not sure why the transmission is so high.
Homework Statement
Hello,
I've been using a light spectrometer to try to measure the reflectance of a sample of a protein I have on a glass slide. I followed the manual's instructions and first took a dark spectrum and a reference spectrum. However, the intensity was too high (far above the...