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Homework Statement A classical electron in circular motion with radius r and velocity v. How would you find the quantum number l that gives quantized angular momentum close to the angular momentum of the classical electron? Homework Equations p=mvr L=(h/2pi)√[l(l+1)] Can anyone...

I'm really grateful for your help, thank you. Have a nice day/night.

So just to check that we're agreeing on the labeling. R is the radius of the hollow sphere d is the radius of our Gaussian surface r radius of the charged sphere E_{d<r}=\dfrac{Q_d}{4 \pi d^2 \epsilon} E_{d>r}=\dfrac{Q_r}{4 \pi d^2 \epsilon} I really appreciate the help.

So for R<d<r d=\sqrt{\dfrac{Q}{4 \pi \epsilon E}} and for d>r r=\sqrt{\dfrac{Q}{4 \pi \epsilon E}}

I've used this since the total charge enclosed in the sphere with radius r is ρVr, which would give me the charge enclosed if there was no hollow sphere, hence why I am subtracting to account for the 'missing charge' due to the hollow sphere. So E4πd2=Q/ε I'm sorry for sounding stupid but...

E=ρ(Vr-VR)/3εr2?

Thank you for answering, so for a Gaussian surface with radius < R the electric field will be zero since there are no charges in the hollow sphere?

Homework Statement A sphere with radius r has uniform charge density ρ within its volume, except for a small hollow sphere located at the center with radius R. Find the electrical field. Homework Equations ρ=Q/V ∫∫EdS=Q/ε The Attempt at a Solution With the spherical Gaussian surface...