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1. Consider a spherical dielectric shell of inner and outer radii a and b respectively. Assume that the permittivity is eps-eps_0 for 0b

1. Consider a spherical dielectric shell of inner and outer radii a and b respectively. Assume that the permittivity is eps-eps_0 for 0b

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1. Consider a spherical dielectric shell of inner and outer radii a and b respectively. Assume that the permittivity is eps=eps_0 for 0<r<a, and eps=eps_1 for a<r<b. If a charge Q is placed at the center of the shell, find (a) the electric field intensity E for a<r<b (b) the polarization vector P for a <r< b (c) the bound volume charge density rho_pv for a<r<b, and the total bound volume charge. (d) the bound surface charge density rho_ps at r=a, and r=b, and the total bound surface charge. (e) the electric field intensity E for r<a (f) the electric field intensity E for r>b
Transcribed Image Text:1. Consider a spherical dielectric shell of inner and outer radii a and b respectively. Assume that the permittivity is eps=eps_0 for 0<r<a, and eps=eps_1 for a<r<b. If a charge Q is placed at the center of the shell, find (a) the electric field intensity E for a<r<b (b) the polarization vector P for a <r< b (c) the bound volume charge density rho_pv for a<r<b, and the total bound volume charge. (d) the bound surface charge density rho_ps at r=a, and r=b, and the total bound surface charge. (e) the electric field intensity E for r<a (f) the electric field intensity E for r>b
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