PHYSICS F/SCI.+ENGR.W/MOD...(LL)-W/WKBK
4th Edition
ISBN: 9780134758060
Author: Knight
Publisher: PEARSON
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Textbook Question
Chapter 27, Problem 3CQ
The electron drift speed in a wire is exceedingly slow—typically
only a fraction of a millimeter per second. Yet when you turn on
a flashlight switch, the light comes on almost instantly. Resolve
this apparent paradox.
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The 12-gauge copper wire in a typical residential buildinghas a cross-sectional area of 3.31 # 10$6 m2. If it carries acurrent of 10.0 A, what is the drift speed of the electrons?Assume that each copper atom contributes one freeelectron to the current. The density of copper is 8.95 g/cm3.
A copper wire has a circular cross section with a radius of 3.20 mm.
(a) If the wire carries a current of 2.60 A, find the drift speed of the electrons in the wire. (The density of electrons in copper is n = 8.46 ✕ 1028 electrons/m)m/s(b) All other things being equal, what happens to the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper? Explain.
Using the results of the below example, find the drift velocity in a copper wire of twice the diameter and carrying 20.0 A.
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 .
Chapter 27 Solutions
PHYSICS F/SCI.+ENGR.W/MOD...(LL)-W/WKBK
Ch. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - The electron drift speed in a wire is exceedingly...Ch. 27 - Prob. 4CQCh. 27 - Prob. 5CQCh. 27 - All the wires in FIGURE Q27.6 are made of the same...Ch. 27 - Both batteries in FIGURE Q27.7 are ideal and...Ch. 27 - Both batteries in FIGURE Q27.8 are ideal and...Ch. 27 - The wire in FIGURE Q27.9 consists of two segments...Ch. 27 - Prob. 10CQ
Ch. 27 - ll. The wires in FIGURE Q27.11 are all made of the...Ch. 27 - Which, if any, of these statements are true? (More...Ch. 27 - Prob. 1EAPCh. 27 - Prob. 2EAPCh. 27 - .0 × 1016 electrons flow through a cross section...Ch. 27 - Prob. 4EAPCh. 27 - Prob. 5EAPCh. 27 - Prob. 6EAPCh. 27 - Prob. 7EAPCh. 27 - Prob. 8EAPCh. 27 - Prob. 9EAPCh. 27 - Prob. 10EAPCh. 27 - Prob. 11EAPCh. 27 - The current in an electric hair dryer is 10.0 A....Ch. 27 -
13. When a nerve cell fires, charge is...Ch. 27 - Prob. 14EAPCh. 27 - Prob. 15EAPCh. 27 - Prob. 16EAPCh. 27 - Prob. 17EAPCh. 27 - Prob. 18EAPCh. 27 - Prob. 19EAPCh. 27 - Prob. 20EAPCh. 27 - Prob. 21EAPCh. 27 - Prob. 22EAPCh. 27 - Prob. 23EAPCh. 27 - 24. The two segments of the wire in FIGURE EX27.24...Ch. 27 - A 1.5 V battery provides 0.50 A of current. a. At...Ch. 27 - Prob. 26EAPCh. 27 - Prob. 27EAPCh. 27 - Prob. 28EAPCh. 27 - Prob. 29EAPCh. 27 - Prob. 30EAPCh. 27 - Prob. 31EAPCh. 27 - Prob. 32EAPCh. 27 - Prob. 33EAPCh. 27 - Prob. 34EAPCh. 27 - Prob. 35EAPCh. 27 - Prob. 36EAPCh. 27 - Prob. 37EAPCh. 27 - Prob. 38EAPCh. 27 - Prob. 39EAPCh. 27 - Prob. 40EAPCh. 27 - Prob. 41EAPCh. 27 - Prob. 42EAPCh. 27 - Prob. 43EAPCh. 27 - Prob. 44EAPCh. 27 - Prob. 45EAPCh. 27 - Prob. 46EAPCh. 27 - Prob. 47EAPCh. 27 - Prob. 48EAPCh. 27 - Prob. 49EAPCh. 27 - Variations in the resistivity of blood can give...Ch. 27 - The conducting path between the right hand and the...Ch. 27 - The conductive tissues of the upper leg can be...Ch. 27 - The resistivity of a metal increases slightly with...Ch. 27 - Prob. 54EAPCh. 27 - You need to design a 1.0 A fuse that “blows” if...Ch. 27 - I A hollow metal cylinder has inner radius a....Ch. 27 - A hollow metal sphere has inner radius a, outer...Ch. 27 - The total amount of charge in coulombs that has...Ch. 27 - The total amount of charge that has entered a wire...Ch. 27 - The current in a wire at time t is given by the...Ch. 27 - The current supplied by a battery slowly decreases...Ch. 27 - The two wires in FIGURE P27.62 are made of the...Ch. 27 - What diameter should the nichrome wire in FIGURE...Ch. 27 - An aluminum wire consists of the three segments...Ch. 27 - A wire of radius R has a current density that...Ch. 27 - A 0.60 -mm-diameter wire made from an alloy (a...Ch. 27 - A 20 -cm-long hollow nichrome tube of inner...Ch. 27 - Prob. 68EAPCh. 27 - Prob. 69EAPCh. 27 - Prob. 70EAPCh. 27 - Prob. 71EAPCh. 27 - Prob. 72EAPCh. 27 - Prob. 73EAPCh. 27 - Prob. 74EAPCh. 27 - Prob. 75EAPCh. 27 - Prob. 76EAP
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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
- Resistors are commonly rated at 18W,14W,12W ,1 W and 2 W for use in electrical circuits. If a current of1 = 2.00 A is accidentally passed through a R=1.00 resistor rated at 1 W, what would be the most probable outcome? Is there anything that can be done to prevent such an accident?arrow_forwardIf the current carried by a conductor is doubled, what happens to (a) the charge carrier density, (b) the current density, (c) the electron drift velocity, and (d) the average time interval between collisions?arrow_forwardAn electronic device designed to operate at any temperature in the range from 10.0C to 55.0C contains pure carbon resistors. By what factor does their resistance increase over this range?arrow_forward
- 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.arrow_forwardThe potential difference across the filament of a light-bulb is maintained at a constant value while equilibrium temperature is being reached. The steady-state current in the bulb is only one-tenth of the current drawn by the bulb when it is first turned on. If the temperature coefficient of resistivity for the bulb at 20.0C is 0.004 50 (C)-1 and the resistance increases linearly with increasing temperature, what is the final operating temperature of the filament?arrow_forwardCheck Your Understanding Verify that /V and e0/d have the same physical units.arrow_forward
- A 0.900-V potential difference is maintained across a 1.50-m length of tungsten wire that has a cross-sectional area of 0.600 mm2. What is the current in the wire?arrow_forwardA man foolishly tries to fish a burning piece of bread from a toaster with a metal butter knife and comes into contact with 120-V ac. He does not even feel it since, luckily, he is wearing rubber-soled shoes. What is the minimum resistance of the path the current follows through the person?arrow_forwardA small but measurable current of 1.2 * 10-10 A exists in a copper wire whose diameter is 2.5 mm.The number of charge carriers per unit volume is 8.49 * 10^28 m-3. Assuming the current is uniform, calculate the (a) current density and (b) electron drift speed.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_forwardFind the drift velocity vd of conduction electrons in a gold wire of diameter 1.53 mm when a current of 0.103 A flows in it. The density of conduction electrons in gold is 5.90 x 10^28 m^-3arrow_forwardA copper wire has a circular cross section with a radius of 1.25 mm. (a) If the wire carries a current of 3.70 A, find the drift speed of the electrons in this wire. (b) All other things being equal, what happens to the drift speed in wires made of metal having a larger number of conduction electrons per atom than copper? Explain.arrow_forward
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