College Physics 11E Global Edition
11th Edition
ISBN: 9781337620338
Author: SERWAY/VUILLE
Publisher: CENGAGE Learning Custom Publishing
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 17, Problem 37P
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. (a) Calculate the rate at which internal energy is produced in 1.00 m of 12-gauge copper wire carrying 20.0 A. (b) Repeat the calculation for a 12-gauge aluminum wire. (c) Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Question 2. Residential building codes typically require the use of 12-gauge cop-
per 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.
(a) Calculate the rate at which internal energy is produced in 1.00 m of 12-gauge
copper wire carrying 20.0 A.
(b) Repeat the calculation for a 12-gauge aluminum wire.
(c) Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
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 wir
of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause fire. (Table of resistivities)
(a) Calculate the rate at which internal energy is produced in 1.90 m of 12-gauge copper wire carrying 20.0 A.
W
(b) Repeat the calculation for a 12-gauge aluminum wire.
W
(c) Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
Residential building codes typically require the useof 12 - gauge copper wire (diameter 0.205 cm) for wiring receptacles.Such circuits carry currents as large as 20.0 A. If a wireof smaller diameter (with a higher gauge number) carried thatmuch current, the wire could rise to a high temperature andcause a fire. (a) Calculate the rate at which internal energy isproduced in 1.00 m of 12 - gauge copper wire carrying 20.0 A.(b) Repeat the calculation for a 12 - gauge aluminum wire.(c) Explain whether a 12 - gauge aluminum wire would be assafe as a copper wire.
Chapter 17 Solutions
College Physics 11E Global Edition
Ch. 17.1 - Consider positive and negative charges all moving...Ch. 17.2 - Suppose a current-carrying wire has a...Ch. 17.3 - Look at the four circuits shown in Figure 17.6 and...Ch. 17.4 - Prob. 17.4QQCh. 17.4 - All electric devices are required to have...Ch. 17.4 - Suppose an electrical wire is replaced with one...Ch. 17.6 - Prob. 17.7QQCh. 17.6 - For the two resistors shown in Figure 17.12, rank...Ch. 17.6 - Two resistors, A and B, are connected in a series...Ch. 17.6 - The diameter of wire A is greater than the...
Ch. 17 - We have seen that an electric field must exist...Ch. 17 - A 12-V battery is connected across a device with...Ch. 17 - Prob. 3CQCh. 17 - In an analogy between traffic flow and electrical...Ch. 17 - Two copper wires A and B have the same length and...Ch. 17 - Two lightbulbs are each connected to a voltage of...Ch. 17 - Newspaper articles often have statements such as...Ch. 17 - There is an old admonition given to experimenters...Ch. 17 - What could happen to the drift velocity of the...Ch. 17 - Power P0 = I0 V0 is delivered to a resistor of...Ch. 17 - When is more power delivered to a lightbulb,...Ch. 17 - Prob. 1PCh. 17 - A copper wire has a circular cross section with a...Ch. 17 - In the Bohr model of the hydrogen atom, an...Ch. 17 - A typical lightning bolt may last for 0.200 s and...Ch. 17 - Prob. 5PCh. 17 - Prob. 6PCh. 17 - A 2.0 102-km-long high-voltage transmission line...Ch. 17 - An aluminum wire having a cross-sectional area of...Ch. 17 - An iron wire has a cross-sectional area of 5.00 ...Ch. 17 - Prob. 10PCh. 17 - Prob. 11PCh. 17 - Germanium is a semiconducting metal with a...Ch. 17 - Prob. 13PCh. 17 - Prob. 14PCh. 17 - Nichrome wire of cross-sectional radius 0.791 mm...Ch. 17 - Prob. 16PCh. 17 - A potential difference of 12 V is found to produce...Ch. 17 - The current supplied by a battery in a portable...Ch. 17 - A wire 50.0 m long and 2.00 mm in diameter is...Ch. 17 - Prob. 20PCh. 17 - Prob. 21PCh. 17 - The human body can exhibit a wide range of...Ch. 17 - Starting from Ohms law, show that E = J, where E...Ch. 17 - Prob. 24PCh. 17 - Prob. 25PCh. 17 - Prob. 26PCh. 17 - Prob. 27PCh. 17 - At what temperature will aluminum have a...Ch. 17 - At 20.0C, the carbon resistor in an electric...Ch. 17 - Prob. 30PCh. 17 - Prob. 31PCh. 17 - An engineer needs a resistor with a zero overall...Ch. 17 - In one form of plethysmograph (a device for...Ch. 17 - Prob. 34PCh. 17 - A 5.00-V power supply provides a maximum current...Ch. 17 - If electrical energy costs 0.12 per kilowatt-hour,...Ch. 17 - Residential building codes typically require the...Ch. 17 - A portable coffee heater supplies a potential...Ch. 17 - The heating element of a coffeemaker operates at...Ch. 17 - A typical cell phone consumes an average of about...Ch. 17 - Lightbulb A is marked 25.0 W 120. V, and lightbulb...Ch. 17 - Prob. 42PCh. 17 - A copper cable is designed to carry a current of...Ch. 17 - Batteries are rated in terms of ampere-hours (A ...Ch. 17 - The potential difference across a resting neuron...Ch. 17 - The cost of electricity varies widely throughout...Ch. 17 - An electric utility company supplies a customers...Ch. 17 - An office worker uses an immersion heater to warm...Ch. 17 - Two wires A and B made of the same material and...Ch. 17 - Prob. 50PCh. 17 - If a battery is rated at 60.0 A h, how much total...Ch. 17 - A car owner forgets to turn off the headlights of...Ch. 17 - Prob. 53APCh. 17 - A given copper wire has a resistance of 5.00 at...Ch. 17 - Prob. 55APCh. 17 - Birds resting on high-voltage power lines are a...Ch. 17 - Prob. 58APCh. 17 - You are cooking breakfast for yourself and a...Ch. 17 - The current in a conductor varies in time as shown...Ch. 17 - A 120.-V motor has mechanical power output of 2.50...Ch. 17 - Prob. 62APCh. 17 - A length of metal wire has a radius of 5.00 103 m...Ch. 17 - In a certain stereo system, each speaker has a...Ch. 17 - A resistor is constructed by forming a material of...Ch. 17 - When a straight wire is heated, its resistance...Ch. 17 - An x-ray tube used for cancer therapy operates at...Ch. 17 - A man wishes to vacuum his car with a canister...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.arrow_forwardWhat current flows through a 2.54-cm-diameter rod of Pure silicon that is 20.0 cm long, when 1.00103 V is applied to it? (Such a rod may be used to make nuclear- particle detectors, for example.)arrow_forwardA 22-V storage battery delivers current at the rate of 48 A. In a 34-min period, the heat lost from the battery is 104.00 kJ. What is the change in internal energy in kJ of the battery for the discharging period?arrow_forward
- A coil of Nichrome wire is 25 m long. The wire has a diameter of 0.400 mm and is at 20 °C. If it carries a current of 0.5 A.(a) Calculate the magnitude of the electric field in the wire.(b) Determine the power delivered to it.(c) If the temperature is increased to 340°C and the voltage across the wire remains constant, what is the power delivered?arrow_forwardA typical lightning bolt may last for 0.200 s and transfer 1.00 x1020 electrons. Calculate the average current in the lightningbolt.arrow_forwardA 50.0 m long Aluminum wire has a diameter of 0.50 mm and is at 20.0°C. If it carries a current of 0.50 mA, (a) calculate the power delivered to it? (b) If the temperature is increased to 340°C and the potential difference across the wire remains constant, what is the power delivered?arrow_forward
- A 14-gauge copper wire has a diameter of 1.628 mm. What magnitude current flows when the drift velocity is 1.00 mm/s? (See below example for useful information.) Calculate the drift velocity of electrons in a 12-gauge copper wire (which has a diameter of 2.053 mm) carrying a 20.0-A current, given that there is one free electron per copper atom. (Household wiring often contains 12-gauge copper wire, and the maximum current allowed in such wire is usually 20 A.) The density of copper is 8.80 x 103 kg/m3 .arrow_forwardA 30.0 m long extension cord is made from two #19 gauge copper wires. (a) What is the resistance of the wire at 20 degrees Celsius ? The diameter of the copper wire is 0.912 mm.(b) If the copper wire is replaced by an Aluminium wire of the same length, what is the diameter so that the new wire has a resistance no greater than the old?arrow_forwardA 1500 W cooling device must operate at a voltage of 120 V. a) What is the current flowing in this device? b) How resistant is the device? c) How much energy in kilojoules does the device produce in one 0.5 hour?arrow_forward
- A typical lightning bolt may last for 0.197s and transfer 1.19 ✕ 1020 electrons. Calculate the average current (in A) in the lightning bolt.arrow_forwardA 20-V storage battery delivers current at the rate of 53 A. In a 28-min period, the heat lost from the battery is 103.07 kJ. What is the change in internal energy in kJ of the battery for the discharging period? answer must be in 3 decimal placesarrow_forwardIn the United States, the National ElectricCode sets standards for maximum safe currents in insulated copperwires of various diameters. The accompanying table gives a portionof the code. Notice that wire diameters are identified by the gauge ofthe wire, and that 1 mil = 10-3in. Find the maximum power dissipated per length in (a) an 8-gauge wire and (b) a 10-gauge wire.Gauge Diameter (mils) Safe current (A)8 129 3510 102 25arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Ohm's law Explained; Author: ALL ABOUT ELECTRONICS;https://www.youtube.com/watch?v=PV8CMZZKrB4;License: Standard YouTube License, CC-BY