Recent content by thelonious

Hi, I'm looking for some additional reading material while preparing for an E&M course. I'm going through Jackson and Griffiths, and I'd like to read a few scientific papers that will be good "E&M exercises." Anybody have papers in mind? Any suggestions for an intro to plasma containment?

Thanks -- what was I thinking... G is a 1/r potential...

Homework Statement I'm reading through Jackson and ran into the following: An application of Gauss's theorem to ∇'^{2}G=-4πδ(x-x') shows that \oint(\partialG/\partialn')da'= -4∏ where G is a Green function given by 1/|x-x'| + F, and F is a function whose Laplacian is zero. (Sec. 1.10...

Homework Statement For a driven RLC circuit, compare the power delivered by the source to the power dissipated as heat in the resistor. Homework Equations P_{avg} = I_{rms}*V_{rms}*cos(\phi) The Attempt at a Solution My thinking was that the power dissipated in the resistor would...

OK I see now. Each "half" of the circuit (plate + wire + plate combination) is a conductor, and therefore an equipotential surface. So the capacitors must be combined in parallel to find the equivalent capacitance.

Ok thanks. Is it true that whenever two capacitors are connected to each other, and nothing else, that the two capacitors are in parallel and not series? Is it possible to connect two capacitors to each other (to each other only, and no other components) in series?

I understand that capacitors in series have equal charge and capacitors in parallel have equal potential, but I do not understand how we know that charge will be transferred between the two until each has equal potential. I see that initially, the charge on C1 is not equal to the charge on C2...

Homework Statement Two capacitors C1 & C2 are independently charged to potentials V1 & V2. Then the two capacitors are connected to each other, where each positive plate is connected to the other's negative plate. What is the final charge on capacitor 1 in terms of C1, C2, V1, V2? Homework...

For the eigenfunctions, I have found: L\Psi=2A\hbaricos\phisin\phi The boundary conditions: \Psi(\phi,0) = \Psi(\phi+2\pi,0) Can I find the eigenvalues with these equations?

Homework Statement A particle of mass m is constrained to a circular loop of radius R in the x-y plane. The particle's position is given by the angle \varphi, measured with respect to the x axis. Given \Psi(\varphi,0), what is the probability that a measurement of the z-component of the...

So E=\hbarω/2, and V=1/2*kx2=1/2*8κl2(x-l)2. ω=√(8kl2/m), so E0=\hbar/2*√(8kl2/m)

So, in calculating <0|H|0>, I will have to integrate ∫(x-l)2e-mωx2/\hbardx from l-\epsilon to l+\epsilon Right?

Homework Statement A particle is in a region with the potential V(x) = κ(x2-l2)2 What is the approximate ground state energy approximation for small oscillations about the location of the potential's stable equilibrium? Homework Equations ground state harmonic oscillator ~ AeC*x2...

It is my understanding that since the eigenfunction will have the form L|λ> = α|λ> (where |λ> denotes the eigenvector and α its eigenvalue), and the operator L contains a partial with respect to θ, the eigenfunction must include eiθ. Is this incorrect? I do not know how to solve for the exact...

Homework Statement A bead of mass m on a circular ring has the wave function Acos\stackrel{2}{}θ. Find expectation value, eigenfunctions & eigenvalues. Homework Equations The differential operator for the angular momentum is L = \hbar/i (\partial/\partialθ). The Attempt at a...