Problem 58PE

00-gauge copper wire has a diameter of 9.266 mm. Calculate the power loss in a kilometer of such wire when it carries 1.00×102 A .

Solution 58PE

R =

Here, d is the diameter of the wire.

Substitute 1.72 x 10-8 for and 9.266 mm for d and 1 km for l.

R=

=

= 0.255

Now calculate the power loss in the wire from formula,

P = I2R

Substitute 1.00 x 102 A for I and 0.255 for R.

P = ( 1.00 x 102 A)2 ( 0.255 )

= 2550 W

The power loss in the wire is 2550 W