P30 048

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48.

(a) We set z = 0 in Eq. 30-28 (which is equivalent using to Eq. 30-12 multiplied by the number of

loops). Thus, B(0)

∝ i/R. Since case b has two loops,

B

b

B

a

=

2i/R

b

i/R

a

=

2R

a

R

b

= 4 .

(b) The ratio of their magnetic dipole moments is

µ

b

µ

a

=

2iA

b

iA

a

=

2R

2
b

R

2

a

= 2



1

2



2

=

1

2

.


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