P27_042.PDF

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Chapter 27 - 27.42
42. (a) Since P = i 2 R = J 2 A 2 R , the current density is
J =
1
A
P
R = 1
P
ρL/A =
P
ρLA
A
=
1 . 0W
10 3 m) 2 =1 . 3
×
10 5 A / m 2
.
π (3 . 5
×
10 5
·
m)(2 . 0
×
10 2 m)(5 . 0
×
(b) From P = iV = JAV weget
V = P
AJ =
P
πr 2 J =
1 . 0W
10 5 A / m 2 ) =9 . 4
×
10 2 V .
π (5 . 0
×
10 3 m) 2 (1 . 3
×
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