Consider the following electrostatic problem. A perfectly conductive spherical conductor of radius a=5cm is covered by a dielectric layer extending to a radius of b%3D8cm in free space. Relative electrical permittivity of the dielectric iS E,4, and Electric Flux Density expression in the medium is given as (D= 0.05r-u, : C/m, for Pa), where r is radial distance from the center of sphere. a) What is the total charge on the conductor surface? b) Determine Electric field intensity for each region (rca, acr

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Consider the following electrostatic problem. A perfectly conductive spherical conductor of radius
a=5cm is covered by a dielectric layer extending to a radius of b%3D8cm in free space. Relative
electrical permittivity of the dielectric iS E 4, and Electric Flux Density expression in the medium
is given as (D = 0.05r-u,: Cim, for ra), where r is radial distance from the center of sphere.
a) What is the total charge on the conductor surface?
b) Determine Electric field intensity for each region (r<a, acr<b, Pb)
c) What is the potential at r=a surface with respect to infinity reference?
d) Whta is the potential at the center,
e) Are the electric flux lines perpendicular to the surface of a charged perfect conductor?
Explain why.
Transcribed Image Text:Consider the following electrostatic problem. A perfectly conductive spherical conductor of radius a=5cm is covered by a dielectric layer extending to a radius of b%3D8cm in free space. Relative electrical permittivity of the dielectric iS E 4, and Electric Flux Density expression in the medium is given as (D = 0.05r-u,: Cim, for ra), where r is radial distance from the center of sphere. a) What is the total charge on the conductor surface? b) Determine Electric field intensity for each region (r<a, acr<b, Pb) c) What is the potential at r=a surface with respect to infinity reference? d) Whta is the potential at the center, e) Are the electric flux lines perpendicular to the surface of a charged perfect conductor? Explain why.
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