hw3_p5405_f02 - HW3 Phys5405 f02 due 9/17/02 1) An...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: HW3 Phys5405 f02 due 9/17/02 1) An infinitely long right cylindrical region of radius R has uniform volume charge density ρ0 . It is surrounded by an uncharged coaxial right cylindrical conducting shell of inner radius R’ (R’ > R) and outer radius R”. Find the E for a) ρ > R”, b) R < ρ < R’, c) ρ < R. Find Φ(R) -Φ(R”). 2) There are 3 parallel conducting plates of very large area A and thickness T. The top plate has a total charge QT , the middle plate has a charge QM , and the bottom plate has a charge QB . The vacuum distance between top and middle plates is d, while that between middle and bottom plates is d’. You want to find E above the top plate, below the bottom plate, and in the regions of d and d’ far from the edges of the plates (assume you can neglect edge effects). Find the surface charge density on each surface of each plate. Also find the potential difference between top and bottom plate. 2 h ¯ 3) Show that the Schrodinger Equation, − 2m 2 Ψ = ih ∂ Ψ , is invariant under the Galillean ¯ ∂t transform, provided the wave function in the O’ frame is renormalized by a phase, Ψ = Ψeiα , where α = − mv (z − vt/2) and z is the direction of relative motion between O and O’. That h ¯ 2 h ¯ is, show that − 2m 2 Ψ = ih ∂ Ψ . ¯ ∂t 1 ...
View Full Document

This note was uploaded on 12/24/2011 for the course PHYS 5406 taught by Professor Blecher during the Spring '10 term at Virginia Tech.

Ask a homework question - tutors are online