Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 26, Problem 74P
To determine
To find
Time required by an electron to travel a wire.
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An iron wire has a cross-sectional area of 3.60 x 10-6 m². Carry out steps (a) through (e) to compute the drift speed of the conduction electrons
in the wire.
(a) How many kilograms are there in 1 mole of iron?
kg/mol
(b) Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic
meter).
mol/m³
(c) Calculate the number density of iron atoms using Avogadro's number.
atoms/m³
(d) Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom.
electrons/m³
(e) If the wire carries a current of 31.0 A, calculate the drift speed of conduction electrons.
m/s
The current density in a wire is uniform and has magnitude 2.0 * 10^6 A/m2, the wire’s length is 5.0 m, and the density of conduction electrons is 8.49 *10^28 m ohm3. How long does an electron take (on the average) to travel the length of the wire?
A conductor has a cross-sectional area of 2.3 × 10^-6 m^2 and the number of free electrons per unit volume is 8.5 × 10^28 electron/m^3. When the current is 13.7 A, find the drift speed (in mm/s) of the electrons.
Chapter 26 Solutions
Fundamentals of Physics Extended
Ch. 26 - Figure 26-15 shows cross sections through three...Ch. 26 - Figure 26-16 shows cross sections through three...Ch. 26 - Figure 26-17 shows a rectangular solid conductor...Ch. 26 - Figure 26-18 shows plots of the current i through...Ch. 26 - Figure 26-19 shows four situations in which...Ch. 26 - In Fig. 26-20, a wire that carries a current...Ch. 26 - Figure 26-21 gives the electric potential Vx...Ch. 26 - The following table give the lengths of three...Ch. 26 - Prob. 9QCh. 26 - Three wires, of the same diameter, are connected...
Ch. 26 - Figure 26-23 gives, for three wires of radius R,...Ch. 26 - During the 4.0 min a 5.0 A current is set up in a...Ch. 26 - An isolated conducting sphere has a 10 cm radius....Ch. 26 - A charged belt, 50 cm wide, travels at 30 m/s...Ch. 26 - The United States National Electric Code, which...Ch. 26 - SSM WWW A beam contains 2.0 108 doubly charged...Ch. 26 - A certain cylindrical wire carries current. We...Ch. 26 - A fuse in an electric circuit is a wire that is...Ch. 26 - Prob. 8PCh. 26 - The magnitude Jr of the current density in a...Ch. 26 - The magnitude J of the current density in a...Ch. 26 - What is the current in a wire of radius R = 3.40...Ch. 26 - Near Earth, the density of protons in the solar...Ch. 26 - Prob. 13PCh. 26 - A human being can be electrocuted if a current as...Ch. 26 - SSM A coil is formed by winding 250 turns of...Ch. 26 - Copper and aluminium are being considered for a...Ch. 26 - Prob. 17PCh. 26 - A wire 4.00 m long and 6.00 mm in diameter has a...Ch. 26 - SSM What is the resistivity of a wire of 1.0 mm...Ch. 26 - Prob. 20PCh. 26 - ILW A common flashlight bulb is rated at 0.30 A...Ch. 26 - Kiting during a storm. The legend that Benjamin...Ch. 26 - Prob. 23PCh. 26 - GO Figure 26-25a gives the magnitude Ex of the...Ch. 26 - SSM ILW A wire with a resistance of 6.0 is drawn...Ch. 26 - In Fig. 26-26a. a 9.00 V battery is connected to a...Ch. 26 - SSM WWW Two conductors are made of the same...Ch. 26 - GO Figure 26-27 gives the electric potential Vx...Ch. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - GO Figure 26-29 shows wire section 1 of diameter...Ch. 26 - GO In Fig. 26-30, current is set up through a...Ch. 26 - GO Swimming during a storm. Figure 26-31 shows a...Ch. 26 - Prob. 37PCh. 26 - In Fig. 26-32a, a 20 resistor is connected to a...Ch. 26 - A certain brand of hot-dog cooker works by...Ch. 26 - Thermal energy is produced in a resistor at a rate...Ch. 26 - SSM A 1220 V potential difference is applied to a...Ch. 26 - In Fig. 26-33, a battery of potential difference V...Ch. 26 - ILW An unknown resistor is connected between the...Ch. 26 - A student kept his 6.0 V, 7.0 W radio turned on at...Ch. 26 - SSM ILW A 1250 W radiant heater is constructed to...Ch. 26 - A copper wire of cross-sectional area 2.00 106 m2...Ch. 26 - A heating element is made by maintaining a...Ch. 26 - Exploding shoes. The rain-soaked shoes of a person...Ch. 26 - A 100 W lightbulb is plugged into a standard 120 V...Ch. 26 - GO The current through the battery and resistors 1...Ch. 26 - GO SSM WWW Wire C and wire D are made from...Ch. 26 - GO The current-density magnitude in a certain...Ch. 26 - A 120 V potential difference is applied to a space...Ch. 26 - Go Figure 26-36a shows a rod of resistive...Ch. 26 - SSM A Nichrome heater dissipates 500 W when the...Ch. 26 - Prob. 56PCh. 26 - An 18.0 W device has 9.00 V across it. How much...Ch. 26 - An aluminum rod with a square cross section is 1.3...Ch. 26 - A cylindrical metal rod is 1.60 m long and 5.50 mm...Ch. 26 - The chocolate crumb mystery. This story begins...Ch. 26 - SSM A steady beam of alpha particles q = 2e...Ch. 26 - A resistor with a potential difference of 200 V...Ch. 26 - A 2.0 kW heater element from a dryer has a length...Ch. 26 - cylindrical resistor of radius 5.0 mm and length...Ch. 26 - A potential difference V is applied to a wire of...Ch. 26 - The headlights of a moving car require about 10 A...Ch. 26 - A 500 W heating unit is designed to operate with...Ch. 26 - The copper windings of a motor have a resistance...Ch. 26 - How much electrical energy is transferred to...Ch. 26 - A caterpillar of length 4.0 cm crawls in the...Ch. 26 - Prob. 71PCh. 26 - A steel trolley-car rail has a cross-sectional...Ch. 26 - A coil of current-carrying Nichrome wire is...Ch. 26 - Prob. 74PCh. 26 - A certain x-ray tube operates at a current of 7.00...Ch. 26 - A current is established in a gas discharge tube...Ch. 26 - In Fig.26-37, a resistance coil wired to an...Ch. 26 - An insulating belt moves at speed 30 m/s and has a...Ch. 26 - In a hypothetical fusion research lab, high...Ch. 26 - When a metal rod is heated, not only its...Ch. 26 - A beam of 16 MeV deuterons from a cyclotron...Ch. 26 - A linear accelerator produces a pulsed beam of...Ch. 26 - An electric immersion heater normally takes 100...Ch. 26 - A 400 W immersion heater is placed in a pot...Ch. 26 - A 30 F capacitor is connected across a programmed...
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- A copper wire of cross-sectional area 3.00x10^-6 m2 carries a current of 10.0 A. (a) Assuming that each copper atom contributes one free electron to the metal, find the drift speed of the electrons in this wire. (b) Use the ideal gas model to compare the drift speed with the random rms speed an electron would have at 20.0°C. The density of copper is 8.92 g/cm3, and its atomic mass is 63.5 uarrow_forwardA block in the shape of a rectangular solid has a cross-sectional area of 3.63 cm² across its width, a front-to-rear length of 19.4 cm, and a resistance of 1240 Q. The block's material contains 6.92 x 1022 conduction electrons/m³. A potential difference of 41.5 V is maintained between its front and rear faces. (a) What is the current in the block? (b) If the current density is uniform, what is its magnitude? What are (c) the drift velocity of the conduction electrons and (d) the magnitude of the electric field in the block? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Unitsarrow_forwardA copper wire used for house hold electrical outlets has a radius of 2.5 mm (1Imm = 10-*m). Each Copper atom donates one electron for conduction. If the electric current in this wire is 22.00 A, copper density is 8900 kg/m and its atomic mass is 64 u. (lu = 1.66 x 10-27 kg), the electrons drift velocity v in this wire is a) 1.90 x 10- m/s. b) 8.36 x 10 m/s, c) 1.60 x 10+ m/s. d) 1.42 x 104 m/s, e) None of the above.arrow_forward
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