Recent content by matpo39

  1. M

    Measuring the Faraday Effect for Frustrated Scientists

    hi. I am currently supposed to be doing a lab on the faraday effect, however the lab manual provided was poorly written and some what clumsy in the experimental procedure. I was wondering if any of you know a good site or book that explains a little about the theory and how experamental...
  2. M

    Is the transformation matrix correct?

    sorry [a][a]^T is a little hard to read. My comp. for some reason doesn't like to work with latex. for [a][a]^T i got (x^2+y^2) 0 0 0 (x^2+y^2) 0 0 0 1
  3. M

    Is the transformation matrix correct?

    I am not really sure if I am doing this problem correctly if you could point out any errors that would be great. The problem: The coordinates of a hyperbolic system (u,v,z) are related to a set of cartesian coordinates (x,y,z) by the equations u=x^2-y^2 v=2xy...
  4. M

    Expect Momentum Problem 1.17 Griffiths: Find Expected Value & Uncertainty

    Problem 1.17 in griffiths gives, at time t = 0, the state psi =A(a^2-x^2) for -a to a, and 0 otherwise. It asks then to find the expected value of momentum p at 0 and also the uncertainty in p. How do I do this? The only way momentum is defined is md<x>/dt, and since the state is only for time...
  5. M

    Show that the boundary conditions X(b)=wX(a) +zX'(a)

    I need a little help getting started here, Show that the boundry conditions X(b)=wX(a) +zX'(a) and X'(b) = yX(a) + dX'(a) on the interval a<=x<=b are symmetric if and only if wd-zy=1 i know that the a set of boundries are symmetric if f '(x)g(x) - f(x)g'(x) = 0 evaluated at x=a and...
  6. M

    Does the Infinite Series Converge or Diverge? A Problem on Complex Numbers

    i need a little help with this problem: determine if the infinite series converges or diverges. summation (from n=1..infinity) {1/(n^2+i^n)} I first applied the ration test to this series and got (n+1)^2 + i^(n+1) / [n^2 + i^n] i then multiplied top and bottom by (n^2 - i^n) which...
  7. M

    What are the solutions to the equation (z+1)^4=1-i?

    whoops, my bad 1-i = (2^1/2) * [cos (-pi/4) + i*sin(-pi/4)] If i use this for 1-i and use the method of the first post will i obtain the correct answer? thanks
  8. M

    What are the solutions to the equation (z+1)^4=1-i?

    find all solutions of the given equation: (z+1)^4=1-i im not sure if i did this right, but here's what i did the first thing that i did was notice that 1-i = 2^1/2 * (cos (pi/4) + i*sin(pi/4)) then i found z= [2^(1/2*1/4) * (cos (pi/4) + i*sin (pi/4) )^1/4] -1 then using de moivre's thrm...
  9. M

    Investigating Helium Ion's Wavelength Transition

    here is the question I am stuck on: Radiation from a helium ion He+ is nearly equal to the wavelength to the H_\alpha line (the first line of the Balmer series). (a) Between what states (values of n) does the transition in the helium ion occur? (b) is the wavelenght greater or smaller than that...
  10. M

    Is Conservation of Momentum Essential for Understanding Particle Interactions?

    if you have a photon with momentum p_\gamma traveling in the +x direction which is then deflected off a free electron and now the photon has momentum p_\gamma' and isin the +y direction. so the components of momentum for the electron would be p_e = p_\gamma' in the -y direction and for the x...
  11. M

    Finding Electric Field of a Uniformly Charged Sphere & Plane

    ok i was flying through the homework no prob. then i hit this problem and i got an answer but i don't think its right. A uniformly charged sphere of radius R and volume charge density \rho_0 is adjacent to a uniformly charged infinite plane of surface charge density \sigma_0. the charge...
  12. M

    How can air resistance be incorporated into the falling particle equation?

    ok, you have m\dot{v}=mg-bv^2 this will be a lot easier to do if you make the substitution v_t =\sqrt{\frac{mg}{b}} where v_t is the terminal velocity which is when the right hand side of the eq. balances out. subing in v_t we get \dot{v}= g(1-\frac{v^2}{v_t^2})...
  13. M

    What is the electric field above a uniformly charged cylinder?

    even if the electic field at point D is well above the cylinder?
  14. M

    What is the electric field above a uniformly charged cylinder?

    ok for one of my problem sets i have come across a problem I am a little unsure of: a uniformly charged cylinder of radius R, length L, and volume charge density rho is aligned along the z-axis from z=0 to z=-L. Find the electric field a distance D above the top of the cylinder(ie at z=D).[...
  15. M

    EM: Net Force on Test Charge Q in 12-Sided Polygon

    ok i have been thinking about this problem for a lil bit now and i think i have it correct but i would just like to double check: (a) twelve equal charges, q, are situated at the corners of a regular 12-sided polygon (for instance, one on each numeral of a clock face). What is the net force...
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