A dielectric cylinder with absolute permittivity ɛ, has radius b and height L. The bottom plate of the cylinder is positioned at x-y plane, concentric with the z-axis. The polarization vector in the dielectric cylinder is given = r Por, where Po is a constant. Find (a) Bound charge densities (b) The total charge of the cylinder. (c) Write the integral expression of the potential at P (0,0,L) explicitly. Define the integral limits and all the components in the integrant expression. Do not take the integral.
A dielectric cylinder with absolute permittivity ɛ, has radius b and height L. The bottom plate of the cylinder is positioned at x-y plane, concentric with the z-axis. The polarization vector in the dielectric cylinder is given = r Por, where Po is a constant. Find (a) Bound charge densities (b) The total charge of the cylinder. (c) Write the integral expression of the potential at P (0,0,L) explicitly. Define the integral limits and all the components in the integrant expression. Do not take the integral.
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Transcribed Image Text:A dielectric cylinder with absolute permittivity ɛ, has radius b and height L. The bottom plate of the cylinder is positioned at x-y plane, concentric with the z-axis. The
polarization vector in the dielectric cylinder is given
= r Por, where Po is a constant. Find
(a) Bound charge densities
(b) The total charge of the cylinder.
(c) Write the integral expression of the potential at P (0,0,L) explicitly. Define the integral limits and all the components in the integrant expression. Do not take the
integral.
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