Sample Solution from
Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Chapter 1
Problem 1P
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To determine

Find the number of kilograms of conductors in the line.

Expert Solution

Answer

The number of kilograms of conductors in the line is 20.5×106kg.

Explanation of Solution

Given data:

The number of conductors in line is four.

The weight of each conductor (w) is 2526lb1000ft.

The length of line (l) is 845miles.

Formula used:

Write a general expression that shows the relation between ‘mile and ft’, and ‘kg and lb’.

1mile=5280ft

1kg=2.2lb

Calculation:

The weight of conductor is calculated as follows,

 Weight of conductor(W)=wl (1)

Substitute 2526lb1000ft for w, and 845miles for l in equation (1) to find W.

 Weight of conductor(W)=(2526lb1000ft)(845miles) (2)

Using product of ratios, convert the unit of equation (2) from lbftmiles to kg to find W.

W=(845miles)(2526lb1000ft)(5280ft1mile)(1kg2.2lb)=5122728kg

The total weight of four conductors can be calculated as follows,

WT=4W (3)

Substitute 5122728kg for W in equation (3) to find WT.

WT=4(5122728kg)=20.5×106kg

Conclusion:

Thus, the number of kilograms of conductors in the line is 20.5×106kg.

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