P31 066

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66.

(a) The magnitude of the magnetic field at the center of the loop, using Eq. 30-11, is

B =

µ

0

i

2R

=



4π

× 10

7

H/m



(100 A)

2(50

× 10

3

m)

= 1.3

× 10

3

T .

(b) The energy per unit volume in the immediate vicinity of the center of the loop is

u

B

=

B

2

2µ

0

=

(1.3

× 10

3

T)

2

2(4π

× 10

7

H/m)

= 0.63 J/m

3

.


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