Unformatted text preview: cylindar). 4. An annular region b < ρ < a is bounded from outside at ρ = a by a surface having the potetial Φ = V a cos 3 φ and from the inside at ρ = b by a surface having a potential Φ = V b sin φ . Show that Φ in the annulus can be written as the sum of two terms, each a combination of solutions to Laplace’s equation designed to have the correct value at one radius while being zero at the other.(i.e, supperposition method). 5. A long dielectric cylindar of radius b and dielectric constant ε r is placed along the z axis in an initially uniform electric ﬁeld ⃗ E = E ˆ x . Determine Φ( ρ,φ ) and ⃗ E ( ρ,φ ) both inside and outside the dielectric cylindar. 1...
View
Full Document
 Fall '10
 Rejaei
 Electrostatics, Electromagnet, Electric charge, Fundamental physics concepts, charge density

Click to edit the document details