4. A sphere of radius R carries the total electric charge q. The sphere is immersed into a dielectric medium with the dielectric constant e(r) depending on the distance r from the center of the sphere. Find dielectric displacement, electric field, electrostatic potential, polarization, volume and surface distribution of bound charges if: a. the sphere is made of a metal b. the sphere is made of a dielectric with the dielectric constant e0, and the free charge q is uniformly distributed over its volume. Apply your general results to a specific case e(r) = 1+a/r.
4. A sphere of radius R carries the total electric charge q. The sphere is immersed into a dielectric medium with the dielectric constant e(r) depending on the distance r from the center of the sphere. Find dielectric displacement, electric field, electrostatic potential, polarization, volume and surface distribution of bound charges if: a. the sphere is made of a metal b. the sphere is made of a dielectric with the dielectric constant e0, and the free charge q is uniformly distributed over its volume. Apply your general results to a specific case e(r) = 1+a/r.
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Transcribed Image Text:4. A sphere of radius R carries the total electric charge q. The sphere is immersed into a
dielectric medium with the dielectric constant ɛ(r) depending on the distance r from the
center of the sphere. Find dielectric displacement, electric field, electrostatic potential,
polarization, volume and surface distribution of bound charges if:
a. the sphere is made of a metal
b. the sphere is made of a dielectric with the dielectric constant eo, and the free charge q
is uniformly distributed over its volume. Apply your general results to a specific case s(r)
= 1+a/r.
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