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Prelecture Exploration: Electrical
Power
DETAILS SERPSE10 26.PLE.001.
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any
points for the skipped part, and you will not be able to come back to the skipped part.
Lalasa has always been interested in electricity and electrical power and is excited to be learning about the subject in
physics class. She and her friend Mackenzie are study partners, and they decide to spend some time exploring electrical
power. Lalasa reminds Mackenzie that electrical power is the rate at which energy is converted from the electrical energy
of the moving charges to some other form, for example, heat, mechanical energy, or energy stored in electric fields or
magnetic fields.
Lalasa and Mackenzie use this simulation to gain a deeper understanding of electrical power. They can click the switch to
open or close the circuit and use the sliders to adjust the resistance and the voltage. The current and power are shown
in the counter boxes at the bottom. They should be careful: The resistor is designed to dissipate only 20 W of power!
2. [-/1 Points]
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voltage
回
6
*****
20
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b
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a
AV
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Click here to open the simulation in a new window.
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I= 0.00
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S (off)
A
DETAILS SERPSE10 26.1.P.007.
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Power =
(b) What is the value of the current density?
kA/m²
Part 1 of 9 - Current
Lalasa asks Mackenzie if she knows what current is. Which of her responses is correct?
O "The work that would have to be done, per unit charge, against a static electric field to move a charge between
two points."
O "An object's opposition to the flow of charge carriers."
O "The flow of electric charges through a piece of material."
O "A device that converts stored chemical energy into useful electrical energy."
PRACTICE ANOTHER
R
0.00
W
d
(a) What is the instantaneous current through the surface at t = 1.10 s?
A
resistance
30
984
ΙΩ
[******
The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm² varies with time according to the
equation q = 5t³ + 8t + 6, where t is in seconds.
10
100 5:05
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The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm² varies with time according to the
equation q = 5t³ + 8t + 6, where t is in seconds.
(a) What is the instantaneous current through the surface at t = 1.10 s?
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(b) What is the value of the current density?
kA/m²
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DETAILS SERPSE10 26.1.P.007.
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DETAILS
An electric current in a conductor varies with time according to the expression I(t) = 116 sin (90xt), where I is in amperes and t
is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/180 s?
C
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DETAILS
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DETAILS
(a) A lightbulb has a resistance of 250 2 when operating with a potential difference of 145 V across it. What is the current in
the lightbulb (in mA)?
mA
(b) What If? What would be the current in the lightbulb (in mA) if it were used in Barbados, where the potential difference
across it would be 115 V?
mA
Material
Silver
Copper
Gold
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Aluminum
Tungsten
Iron
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Platinum
Lead
Nichrome
SERPSE10 26.1.P.009.
Carbon
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(a) A 34.1-m length of copper wire at 20.0°C has a radius of 0.29 mm. If a potential difference of 8.00 V is applied across the
length of the wire, determine the current in the wire. (Use the values in the following table.)
Resistivity (2. m) Temperature Coefficient of Resistivityb a [(°C)-¹]
Germanium
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Silicond
Glass
SERPSE10 26.2.OP.005.
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SERPSE10 26.4.OP.015.MI.
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1.59 x 10-8
1.7 x 10-8
2.44 x 10-8
2.82 x 10-8
5.6 x 10-8
10.0 x 10-8
11 x 10-8
22 x 10-8
1.00 x 10-6
3.5 x 10-5
0.46
2.3 x 10³
3.8 x 10-3
3.9 x 10-3
3.4 x 10-3
3.9 x 10-3
4.5 x 10-3
5.0 x 10-3
984
3.92 x 10-3
3.9 x 10-3
0.4 x 10-3
-0.5 x 10-3
-48 x 10-3
-75 x 10-3 5:05
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MY NOTES
(a) A 34.1-m length of copper wire at 20.0°C has a radius of 0.29 mm. If a potential difference of 8.00 V is applied across the
length of the wire, determine the current in the wire. (Use the values in the following table.)
Resistivity (m) Temperature Coefficient of Resistivity a [(°C)-¹]
6. [-/1 Points]
DETAILS SERPSE10 26.4.OP.015.MI.
Material
Silver
Submit Answer
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Copper
Gold
Aluminum
Tungsten
Iron
Platinum
Lead
Nichrome
Germanium
Carbon
Submit Answer
Silicon
Hard rubber
Glass
Quartz (fused)
Sulfur
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DETAILS
1.59 x 10-8
1.7 x 10-8
W
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2.44 x 10-8
2.82 x 10-8
5.6 x 10-8
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10.0 x 10-8
11 x 10-8
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22 x 10-8
1.00 x 10-6
3.5 x 10-5
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2.3 x 103
1010 1014
0.46
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75 x 1016
=1013
1015
Master It
SERPSE10 26.6.P.028.
(a) All values at 20°C. All elements in this table are assumed to be free of impurities.
(b) See the section "Resistance and Temperature".
(c) A nickel-chromium alloy commonly used in heating elements. The resistivity of Nichrome varies with composition and
ranges between 1.00 x 10-6 and 1.50 x 10-60 m.
(b) If the wire is heated to 38.0°C while the 8.00-V potential difference is maintained, what is the resulting current in the wire?
A
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(d) The resistivity of silicon is very sensitive to purity. The value can be changed by several orders of magnitude when it is
doped with other atoms.
(b) Repeat the calculation for a 12-gauge aluminum wire.
W
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3.8 x 10-3
3.9 x 10-3
3.4 x 10-3
3.9 x 10-3
SERPSE10 26.A.OP.027.MI.
4.5 x 10-3
5.0 x 10-3
Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such
circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current,
the wire could rise to a high temperature and cause a fire. (Table of resistivities)
PRACTICE ANOTHER
3.92 x 10-3
3.9 x 10-3
(a) Calculate the rate at which internal energy is produced in 2.35 m of 12-gauge copper wire carrying a current of 20.0
A.
0.4 x 10-3
-0.5 x 10-3
Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
-48 x 10-3
-75 x 10-3
984 5:05
Done
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AA
Circuits Carry currents as large as 20.0 A. Il a wire or smaller arameter (with a higher gauge number) Carned that much current,
the wire could rise to a high temperature and cause a fire. (Table of resistivities)
MY NOTES
(a) Calculate the rate at which internal energy is produced in 2.35 m of 12-gauge copper wire carrying a current of 20.0
A.
(b) Repeat the calculation for a 12-gauge aluminum wire.
W
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Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
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W
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A particular wire has a resistivity of 2.5 x 10-8 2 m and a cross-sectional area of 2.5 x 10-6 m². A length of this wire is to be
used as a resistor that will receive 47 W of power when connected across a 20-V battery. What length of wire is required?
km
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DETAILS
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DETAILS
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SERPSE10 26.A.OP.027.MI.
One wire in a high-voltage transmission line carries 1 000 A starting at 670 kV for a distance of 230 mi. If the resistance in the
wire is 0.500 /mi, what is the power loss due to the resistance of the wire?
MW
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DETAILS
Master It
SERPSE10 26.A.P.035.
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SERPSE10 26.A.OP.033.
An electric utility company supplies a customer's house from the main power lines (120 V) with two copper wires, each of which is
46.0 m long and has a resistance of 0.104 2 per 300 m.
(a) Find the potential difference at the customer's house for a load current of 114 A.
(b) For this load current, find the power delivered to the customer.
kW
(c) Find the rate at which internal energy is produced in the copper wires.
W
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DETAILS SERPSE10 26.6.P.028.
ASK YOUR TEACHER
Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such
circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current,
the wire could rise to a high temperature and cause a fire. (Table of resistivities)
(a) Calculate the rate at which internal energy is produced in 2.35 m of 12-gauge copper wire carrying a current of 20.0
A.
W
(b) Repeat the calculation for a 12-gauge aluminum wire.
W
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Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
This answer has not been graded yet.
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