1. K

    Spherical glass vs parabolic acrylic

    Hello, I am trying to buy the parts to perform a Schlieren experiment (see an example here: https://bit.ly/2mwbzkl) It is suggested to use a Spherical Primary Telescope Mirror (glass), however when i look into getting larger than 160 mm versions, they start to get extremely expensive...
  2. B

    Draw the ray diagram of the spherical fish bowl

    Well I'm stuck with the question 4a) here. Maybe someone can tell me how to draw the ray diagram and the reason for it. I'm happy for any help :)
  3. T

    spherical unipolar magnet

    imagine a spherical shell of magnets. they form a perfect sphere . they are all magnetized so the north pole is pointing out. what do the flux paths look like? this a real physical possibility and easy to make but i am curious as to your thoughts. thank you.
  4. C

    Spherical Capacitors

    A spherical capacitor consists of two concentric conducting shells of radius R1 and R2. The outer shell has charge Q. The inner shell is grounded (i.e, V=0). Show that the charge on the inner shell is -QR1/R2. I am not sure if i'm using the right equation, which is: Q/V = 4pi*e0*r
  5. R

    How to integrate exp(-ik dot r) in spherical coordinates

    Hello again QM fans. This may be better suited for a calculus forum. ψ (k_hat)=1/(2π)^(3⁄2) ∫▒〖d^3 re^(-ik ⃗∙r) ⃗ 〗 ψ(r) Express the integral as a triple integral over spherical coordinates (r,θ,ϕ) with volume element d^3 r=r^2 sinθ dr dθ dϕ choosing direction so z-axis lies along...
  6. P

    finding potential of a given wavefunction in spherical polar

    The ground state wavefuntion of a system in spherical polar coordinates is given by: Ψ (r,θ, φ)= (A/r) [exp (-ar) - exp (-br)] where a, b, A are constants. i) Determine A as a function of a and b, so as to normalize the wavefuntion. ii) From Schrödinger equation find V (r) in terms of a and...
  7. A

    Potential of Non-Uniformly Charged Spherical Shell

    A thin spherical shell of radius R carries a surface charge density of the form kcos^3 θ . Find the electric field inside and outside the sphere and demonstrate explicitly that its components satisfy the relevant boundary conditions at the surface. So, I can work this all the way to...
  8. A

    Anamorphic and Spherical Lens Infinity Focus

    New to the forum but stumbled upon this and thought it might be beneficial to query more scientifically minded individuals. I am a filmmaker and use a variety of lenses to acquire certain looks. One of which is anamorphic cinematography. (http://www.red.com/learn/red-101/anamorphic-lenses)...
  9. L

    formula of refraction at spherical surface

    i am confused which eqaution to use for formula of refraction at spherical surface , do i need to put a modulus for n2-n1 ? some book gives modulus , while the other book not . which one is correct?
  10. L

    refraction at spherical surface

    in the photo, i dont understand part b , why the u(object distance) form the refracting surface is 14 cm . can someone help me with this?
  11. K

    problematic spherical mirror focal spot

    hello guys, i monitor with a pixeled camera the focal spot from a spherical mirror but i don't get a nice (even nearly)sperical spot but something weird that shows interference. I woul appreciate a little help. Here are the data (i will make it short, in case anyone can help and need more info i...
  12. A

    Gauss' Law for spherical shell vs Coulomb's law, regarding reativity

    Shalom We are used to hearing that Coulomb's law doesn't settle with the relativity principle that nothing moves faster than the speed of light, in the sence that it embeds 'Action in a Distance'. Meaning that if somthing changes in r1 at time t1, and we write the law for any t before...
  13. G

    spherical singularity ?

    I don't know much about the dynamics but here's my two cents. There already exists a point and ring singularity but if you gather enough tachyons in a finite volume , they should not condense to a point because they always travel faster than the speed of light and a point would give them a...
  14. T

    Concave spherical mirror in a car headlamp

    I'm given only the object distance from the mirror. How would I find the focal length?
  15. R

    Spherical Concave Mirror

    A spherical concave mirror (not parabolic) has a radius of 4 cm on which a ray is incident 3 cm from the principle axis, as shown in the figure. Since the mirror is not parabolic the ray doesn’t pass through the focus. After reflection on A and then on B, the ray crosses the principal axis at...
  16. A

    multi-surface problem in refraction at spherical surface.

    i've tried this about 9 times and none of my answers seem right and would LOVE some help. any suggestions? A thick-walled spherical shell made of transparent glass (n=1.50) has internal radius R and external radius 2R. The central cavity and region surrounding the shell are filled with air...
  17. E

    Particle in a spherical box

    Hello everybody: I have a problem with the Schrödinger equation in 3D since I'm trying to solve the problem of the energy of a particle inside a spherical box of radius "a" where inside the sphere the potential energy is zero and out the sphere is infinite. First of all, I was looking at...
  18. S

    The Laplacian Operator in spherical coordinates

    In QM class, we are solving the hydrogen atom. Since we used spherical coordinates we had to do a change of variable. However, the prof just wrote the Laplacian in spherical coordinates and told the class to just trust him on that and the derivation of it will be shown in a mathematical method...
  19. A

    Electric field of half a spherical shell

    Hey guys. I've been trying to solve this question using Gauss law but I can't think of a surface that can contain this thing. Is there another way to solve this? Thanks a lot.
  20. A

    Half charged spherical shell

    Hey guys. I got this question: "Calculate the electric field of half a spherical shell with radius R and uniform surface charge density \sigma along its axis of symmetry above the shell." I guess I shell use Gauss law, the thing is that the Gauss surface will not be closed above the half...