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A sphere of linear magnetic material is placed in an

Chapter 6, Problem 18P

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QUESTION:

Problem 18P

A sphere of linear magnetic material is placed in an otherwise uniform magnetic field B0. Find the new field inside the sphere. [Hint: See Prob. 6.15 or Prob. 4.23.]

Reference prob 6.15

If J f = 0 everywhere, the curl of H vanishes (Eq. 6.19), and we can express H as the gradient of a scalar potential W:

According to Eq. 6.23, then,

Questions & Answers

QUESTION:

Problem 18P

A sphere of linear magnetic material is placed in an otherwise uniform magnetic field B0. Find the new field inside the sphere. [Hint: See Prob. 6.15 or Prob. 4.23.]

Reference prob 6.15

If J f = 0 everywhere, the curl of H vanishes (Eq. 6.19), and we can express H as the gradient of a scalar potential W:

According to Eq. 6.23, then,

ANSWER:

Solution 18P

Step 1 of 6

To find the new field inside the sphere of a linear magnetic material which is placed in an uniform magnetic field

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