4. Consider the problem of using a low-voltage system to power your little cabin. Suppose a 12-V system powers a pair of 60-W light bulbs (wired in parallel). The resistance of the 100 ft wire connecting the circuit is 0.2525 Q. The distance between these loads and the battery pack is 50 ft. a) Since these bulbs are designed to use 60 W at 12 V, what would be the (filament) resistance of each bulb? b) What would be the current drawn by two such bulbs if each receives a full 12 V? c) Find the equivalent resistance of the two bulbs plus the wire resistance to and from the battery. Both lamps are turned on (in this and subsequent parts). d) Find the current delivered by the battery with both lamps turned on. e) Find the power delivered by the battery. f) Find the power lost in the connecting wires in watts and as a percentage of battery power.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4. Consider the problem of using a low-voltage system to power your little cabin. Suppose a
12-V system powers a pair of 60-W light bulbs (wired in parallel). The resistance of the 100
ft wire connecting the circuit is 0.2525 Q. The distance between these loads and the battery
pack is 50 ft.
a) Since these bulbs are designed to use 60 W at 12 V, what would be the (filament)
resistance of each bulb?
b) What would be the current drawn by two such bulbs if each receives a full 12 V?
c) Find the equivalent resistance of the two bulbs plus the wire resistance to and from
the battery. Both lamps are turned on (in this and subsequent parts).
d) Find the current delivered by the battery with both lamps turned on.
e) Find the power delivered by the battery.
f) Find the power lost in the connecting wires in watts and as a percentage of battery
power.
g) Find the power delivered to the lamps in watts and as a percentage of their rated
power.
Transcribed Image Text:4. Consider the problem of using a low-voltage system to power your little cabin. Suppose a 12-V system powers a pair of 60-W light bulbs (wired in parallel). The resistance of the 100 ft wire connecting the circuit is 0.2525 Q. The distance between these loads and the battery pack is 50 ft. a) Since these bulbs are designed to use 60 W at 12 V, what would be the (filament) resistance of each bulb? b) What would be the current drawn by two such bulbs if each receives a full 12 V? c) Find the equivalent resistance of the two bulbs plus the wire resistance to and from the battery. Both lamps are turned on (in this and subsequent parts). d) Find the current delivered by the battery with both lamps turned on. e) Find the power delivered by the battery. f) Find the power lost in the connecting wires in watts and as a percentage of battery power. g) Find the power delivered to the lamps in watts and as a percentage of their rated power.
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