Recent content by jkthejetplane

  1. J

    Using the Frobenius method on a 2D Laplace

    Update: I got it all correct after just trying again without the confusion of l terms. Did it a couple ways to make sure. Thank you
  2. J

    Using the Frobenius method on a 2D Laplace

    Oh yeah i see that now. I got caught up in our notation and other notation when looking up the method. I'll try again using the standard n
  3. J

    Using the Frobenius method on a 2D Laplace

    Ok so as far as your hint goes, I should be using that whole expression by getting it equal to zero so I have a y" term or that I should only use the right side equal to 0?
  4. J

    Using the Frobenius method on a 2D Laplace

  5. J

    3D Laplace solution in Cylindrical Coordinates For a Hollow Cylindrical Tube

    Here is the initial problem and my attempt at getting Laplace solution. I get lost near the end and after some research, ended up with the Bessel equation and function. I don't completely understand what this is or even if this i the direction I go in. This is a supplemental thing that I want to...
  6. J

    Monopole and Dipole Terms of Electric potential (V) on Half Disk

  7. J

    Potential Inside and Outside of a Charged Spherical Shell

    So here was my first go around at it: At first it made sense in my head but don't think my process is correct. Then i noticed the example in the book: I guess the reasoning isn't 100% there in my head and if i don't have an actual σ, how will i cancel out any legendre polynomials due to...
  8. J

    Electric Potential of point outside cylinder

    I believe that's my main question above if i am understanding you correctly. I am not sure how to define the separation vector. Right not i have it as (h-z)zhat + (r-s)shat but i am unsure on the s direction component...
  9. J

    Electric Potential of point outside cylinder

    What do you mean? s is radial component in cylindrical
  10. J

    Electric Potential of point outside cylinder

    I edited it to put the whole original problem. thanks
  11. J

    Electric Potential of point outside cylinder

    Edit: Below is my work but i believe i have chosen the wrong values of the separation vector in the s direction. Any ideas as to what it should be?
  12. J

    Debye Approximation of Heat Capacity in 1D

    So really i am just unsure how to answer the last part of the question. I am unsure how to apply the low and high temperature limits the way i have done it. Do i set upper/lower limits on the integral and solve? If so i am not sure what to put Here is what he book has for 3d
  13. J

    Show that the Diffusion Eqn after substitution gives the Helmholtz Eqn

    I am not really getting anywhere. Do you have to be super vague on here? I feel like no one gives me direct answers haha. I just want to understand the problem
  14. J

    Show that the Diffusion Eqn after substitution gives the Helmholtz Eqn

    No he hasn't. This is an upper level class but i had taken a 5 year break from school so i think he assumes we remember everything.
  15. J

    Show that the Diffusion Eqn after substitution gives the Helmholtz Eqn

    So I am just a bit confused still. I need to solve the diff equation for ψ, then just manipulate it to look like Helmholtz?