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Find ( a ) the magnitude and position of the image charge ( s ) ; ( b ) the potential at any point ( expressed in polar coordinates with the line from the cylinder axis to the line charge as the x axis ) , including the asymptotic form ...
8.8 Dielectric Wave Guides In Sections 8.2–8.5 we considered wave guides made of hollow metal cylinders with fields only ... which arise because of the very different boundary conditions to be satisfied at the surface of the cylinder .
The axial propagation constant k must be the same inside and outside the cylinder in order to satisfy boundary conditions at all points on the surface at all times . In the usual way , inside the dielectric cylinder the transverse ...
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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