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Calculate W, using both Eq. 4.55 and Eq. 4.58, for a

Chapter 4, Problem 27P

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QUESTION:

Problem 27P

Calculate W, using both Eq. 4.55 and Eq. 4.58, for a sphere of radius R with frozen-in uniform polarization P (Ex. 4.2). Comment on the discrepancy. Which (if either) is the “true” energy of the system?

Reference equation 4.55

Reference equation 4.58

Reference example 4.2

Find the electric field produced by a uniformly polarized sphere of radius R.

Questions & Answers

QUESTION:

Problem 27P

Calculate W, using both Eq. 4.55 and Eq. 4.58, for a sphere of radius R with frozen-in uniform polarization P (Ex. 4.2). Comment on the discrepancy. Which (if either) is the “true” energy of the system?

Reference equation 4.55

Reference equation 4.58

Reference example 4.2

Find the electric field produced by a uniformly polarized sphere of radius R.

ANSWER:

Step 1 of 6

We are required to calculate the energy stored in the given sphere of radius .  We are also required to find the discrepancy in our calculation.

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