Question

Extension cords come in a variety of lengths and ratings. A cord
with a 12-gauge copper wire will have a wire diameter of 2.053 mm,
while a 18-gauge wire will have a diameter of 1.024 mm. The
resistivity of copper is rho = 1.68 x 10^{-8}
omega^{.}m. Given that you want to use a 100-ft extension
cord to connect an appliance to your household outlet of 120 V,
answer the following:

a) What is the voltage drop across the 12-gauge extension cord if a current of 5 A flows through it when the appliance is turned on?

b) What is the voltage drop across the extension cord if the 18-gauge cord is used instead, with the same current being drawn?

c) How does using the 18-gauge cord in place of the 12-gauge cord affect the operation of the appliance? Be specific

Answer #1

6. The diameter of 12-gauge copper wire is 2.05mm, while the
diameter of 14-gauge copper wire is 1.63mm. Both are placed in two
separate 100m extension cords. Assume the resistivity of copper to
be 1.72×10-8Ω·m. (a) What is the difference in resistance between
the two wire gauges for the distance the wire needs to be run? (b)
If the extension cord is plugged into a 110V outlet, what is the
difference in current supplied to the device plugged into the...

PLEASE SHOW ALL WORK!
00-gauge copper wire has a diameter of 9.266 mm and a
resistivity of 1.68 × 10−8 Ω · m at 20.0◦C. The wire is 1.00m in
length.
a) What is the power loss in the wire if the wire carries 110.
A?
b) The temperature coefficient of resistivity for copper is α =
3.90 × 10−3 ◦C−1. If the copper is at 40.0◦C, what is its new
resistivity?
c) If it still has the same power...

Wires aren't really ideal. The voltage drop across a
current-carrying wire can be significant unless the resistance of
the wire is quite low. Suppose a 100 ft extension cord is being
used to provide power to an electric lawn mower. The cord carries a
10 Acurrent. The copper wire in a typical extension cord has a 1.3
mm diameter.
Part A
What is the voltage drop across a 100 ft length of wire at this
current?
Express your answer using...

A wire consists of a steel center, 1mm in diameter, and a copper
sheathing that is 2 mm in diameter (with a 1 mm inner diameter
where the copper is fused to the steel). What is the resistance of
a 10 meter-long piece of this wire, and how much current and how
much power is dissipated in this wire if attached across the
terminals of a 12-volt battery? Hint: are the copper and steel
components of the wire in series...

A 14.0-m length of wire consists of 9.0 m of copper followed by
5.0 m of aluminum, both of diameter 1.3 mm . A voltage difference
of 95 mVis placed across the composite wire. The resistivity of
copper is 1.68×10−8Ω⋅m and the resistivity of aluminum is
2.65×10−8Ω⋅m.
1. What is the total resistance (sum) of the two wires?
Express your answer to two significant figures and include the
appropriate units.
2. What is the current through the wire?
Express your...

A 2.36-mm diameter copper wire (resistivity 1.68 ×
10-8Ω∙m) carries a current of 15.6 A. What is the
potential difference (in volts) between two points 194 m
apart?
A carbon resistor has a resistance of 19.17 Ω at a
temperature of 21.1 °C. At what temperature (in °C) its resistance
will drop to 12.93 Ω? (The temperature coefficient of resistivity
for carbon is -5.0 ×
10-4/C°.)
A battery with an emf of 5.87 volts and an
internal resistance 2.47 ohms...

1)Electrical resistance for a wire of any size can be calculated
using the relation: R = pL/A
where R = resistance ?, p = resistivity (?-cm), L = wire length
(cm),
p = 112 u? cm. For a 10-m length of 16-gauge (diameter = 1.291
mm) nichrome wire, find the resistance. If a current of 4 A flows
in the wire, find the voltage drop and power dissipation.
2)A standard power value for a household incandescent lightbulb
is 60 W....

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