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Consider a dielectric sphere with radius R and dielectric constant K1, surrounded by another dielectric sphere with outer radius 2R and inner radius R, and dielectric constant K2. The inner sphere has a charge Q distributed uniformly in the radius R. i) Find the Displacement vector and electric field everwhere (). 2R D. 3 ii) Find the polarization surface charge density on the inner surface D of the dielectric. R +Q iii) Find the potential at a point located at r= R/2. iv) How would the previous results differ if the inner sphere were replaced by a conducting sphere of radius R and charge Q. K2

Consider a dielectric sphere with radius R and dielectric constant K1, surrounded by another dielectric sphere with outer radius 2R and inner radius R, and dielectric constant K2. The inner sphere has a charge Q distributed uniformly in the radius R. i) Find the Displacement vector and electric field everwhere (). 2R D. 3 ii) Find the polarization surface charge density on the inner surface D of the dielectric. R +Q iii) Find the potential at a point located at r= R/2. iv) How would the previous results differ if the inner sphere were replaced by a conducting sphere of radius R and charge Q. K2

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Consider a dielectric sphere with radius R and dielectric constant K1, surrounded by another dielectric sphere with outer radius 2R and inner radius R, and dielectric constant K2. The inner sphere has a charge Q distributed uniformly in the radius R. 2R D. i) Find the Displacement vector and electric field everwhere (). D. 3 ii) Find the polarization surface charge density on the inner surface R +Q of the dielectric. iii) Find the potential at a point located at r= R/2. iv) How would the previous results differ if the inner sphere were replaced by a conducting sphere of radius R and charge Q. K2
Transcribed Image Text:Consider a dielectric sphere with radius R and dielectric constant K1, surrounded by another dielectric sphere with outer radius 2R and inner radius R, and dielectric constant K2. The inner sphere has a charge Q distributed uniformly in the radius R. 2R D. i) Find the Displacement vector and electric field everwhere (). D. 3 ii) Find the polarization surface charge density on the inner surface R +Q of the dielectric. iii) Find the potential at a point located at r= R/2. iv) How would the previous results differ if the inner sphere were replaced by a conducting sphere of radius R and charge Q. K2
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