A sphere of radius R carries a polarization P(r) = kr, where k is a constant and r is the vector from the center. (a) Calculate the bound charges op and ph. (b) Find the field inside and outside the sphere.
A sphere of radius R carries a polarization P(r) = kr, where k is a constant and r is the vector from the center. (a) Calculate the bound charges op and ph. (b) Find the field inside and outside the sphere.
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![A sphere of radius \( R \) carries a polarization
\[
\mathbf{P}(r) = kr,
\]
where \( k \) is a constant and \( r \) is the vector from the center.
(a) Calculate the bound charges \( \sigma_B \) and \( \rho_b \).
(b) Find the field inside and outside the sphere.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b6d687b-9b3f-47af-8b4d-c251df44093c%2F31a78720-73a7-4c34-83ea-6a581d054707%2Fiattwk6_processed.png&w=3840&q=75)
Transcribed Image Text:A sphere of radius \( R \) carries a polarization
\[
\mathbf{P}(r) = kr,
\]
where \( k \) is a constant and \( r \) is the vector from the center.
(a) Calculate the bound charges \( \sigma_B \) and \( \rho_b \).
(b) Find the field inside and outside the sphere.
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