extension cord (t) = v2 · 10 cos(120rt) to a load. You have a choice of extension chords with 16 to deliver a current AWG (light duty) or 12 AWG (heavy duty) vire. -- 100 ft What is the ratio of the volume of copper in the 12-gauge cord to the volume of copper in the 16- gauge cord? Suppose the 16-gauge cord costs $30 and the 12-gauge cord costs $60. Electricity costs $0.10 per kilowatt-hour (kWh). You will use the extension cord to deliver current continuously (24/7) for y vears. Solve for the functions c12(y), C16 (y) that give the total cost of using the 12- and 16-gauge extension cords for y years (including the purchase price). For what values of y is the 12-gauge cord more economical? Note that 1 year is 365.25 days.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Problem 4
i(t)
As shown at right, you use
100-foot
a
extension cord
to
deliver
a
current
+
i(t) = v2 · 10 cos(120rt) to a load. You
have a choice of extension chords with 16
AWG (light duty) or 12 AWG (heavy duty)
wire.
--|
100 ft
(a) What is the ratio of the volume of copper in the 12-gauge cord to the volume of copper in the 16-
gauge cord?
(b) Suppose the 16-gauge cord costs $30 and the 12-gauge cord costs $60. Electricity costs $0.10 per
kilowatt-hour (kWh). You will use the extension cord to deliver current continuously (24/7) for y
years. Solve for the functions c12(y), C16(y) that give the total cost of using the 12- and 16-gauge
extension cords for y years (including the purchase price). For what values of y is the 12-gauge
cord more economical? Note that 1 year is 365.25 days.
Transcribed Image Text:Problem 4 i(t) As shown at right, you use 100-foot a extension cord to deliver a current + i(t) = v2 · 10 cos(120rt) to a load. You have a choice of extension chords with 16 AWG (light duty) or 12 AWG (heavy duty) wire. --| 100 ft (a) What is the ratio of the volume of copper in the 12-gauge cord to the volume of copper in the 16- gauge cord? (b) Suppose the 16-gauge cord costs $30 and the 12-gauge cord costs $60. Electricity costs $0.10 per kilowatt-hour (kWh). You will use the extension cord to deliver current continuously (24/7) for y years. Solve for the functions c12(y), C16(y) that give the total cost of using the 12- and 16-gauge extension cords for y years (including the purchase price). For what values of y is the 12-gauge cord more economical? Note that 1 year is 365.25 days.
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