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A sphere of radius R carries a polarizationP ( r ) =

Chapter 4, Problem 10P

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QUESTION:

Problem 10P

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 σb and ρb.

(b) Find the field inside and outside the sphere.

Questions & Answers

QUESTION:

Problem 10P

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 σb and ρb.

(b) Find the field inside and outside the sphere.

ANSWER:

Solution 10P

(a)

Step 1 of 8

  To find the bound charges and for a sphere of radius R carrying polarization

        Given by   , where k is a constant and r is vector from the center

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