Explanation Given info: Diameter of copper wire is .1 mm , current flowing is 100 mA , diameter of glass tube is 1.0 cm , diameter of electron beam is 1.0 mm , density of conduction electron in copper is 1.1 × 10 29 m -3 , charge of negative and positive ions is ± 2 e , density of each ion is 6.1 × 10 23 m -3 , electron density in beam is 2.2 × 10 16 m -3 . Explanation: Write the equation to find the drift speed of electrons in copper tube. v d = I n A q (1) Here, v d is the drift speed I is the current A is the area q is the charge Write expression to calculate the area of the circle. A = π d 2 4 Use π d 2 / 4 for A to rewrite equation (1). v d = I n e ( π d 2 / 4 ) Substitute 100 × 10 − 3 A for I , 1.1 × 10 29 m − 3 for n , 1.6 × 10 -19 C for e , and 10.0 cm for d to find v d . v d = 100 × 10 − 3 A ( 1.1 × 10 29 m − 3 ) ( 1.6 × 10 − 19 C ) ( 1 4 π ) ( 10 × 10 − 2 cm × 1 m 10 2 cm ) 2 = 0.72 mm / s Here the number and charge of positive and negative ions are equal therefore the total current densities are J = n + ( 2 e ) v d + n − ( − 2 e ) − v d = 4 n e v d Here, J is the current density n is the density of the conducting electron Therefore write the equation to find the drift velocity. v d = I 4 n e ( π d 2 / 4 ) (2) Substitute 100 × 10 − 3 A for I , 6

Essential University Physics: Volume 2 (3rd Edition)

3rd Edition

ISBN: 9780321976420

Author: Richard Wolfson

Publisher: PEARSON

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Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends o…

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Chapter 24, Problem 40P

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The drift velocity of the electrons.

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Chapter 24, Problem 39P

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Chapter 24 Solutions

Essential University Physics: Volume 2 (3rd Edition)

Ch. 24.1 - Prob. 24.1GI Ch. 24.2 - Two wires carry the same current I. Wire A has a...Ch. 24.3 - Prob. 24.3GI Ch. 24.4 - You put a variable resistance across a battery...Ch. 24.5 - Todays power tools are often cordless, powered by...Ch. 24 - Explain the difference between current and current...Ch. 24 - A constant electric field generally produces a...Ch. 24 - When caught in the open in a lightning storm, a...Ch. 24 - Good conductors of electricity are often good...Ch. 24 - Why can current persist forever in a...

Ch. 24 - Does an electric stove burner draw more current...Ch. 24 - A person and a cow are standing in a field when...Ch. 24 - You put a 1.5-V battery across a piece of...Ch. 24 - Prob. 9FTD Ch. 24 - A 50-W and a 100-W lightbulb are both designed to...Ch. 24 - Equation 24.8a suggests that no power can be...Ch. 24 - Whats wrong with this news report: A power-line...Ch. 24 - A wire carries 1.5 A. How many electrons pass...Ch. 24 - A 12-V car battery is rated at 80 ampere-hours,...Ch. 24 - Biologists measure the total current due to...Ch. 24 - The National Electrical Code specifies a maximum...Ch. 24 - The electric field in an aluminum wire is 85 mV/m....Ch. 24 - What electric field is necessary to drive a 7.5-A...Ch. 24 - Prob. 19E Ch. 24 - A 1.0-cm-diameter rod carries a 50-A current when...Ch. 24 - Use Table 24.1 to determine the conductivity of...Ch. 24 - Find the resistance of a heating coil that draws...Ch. 24 - Prob. 23E Ch. 24 - Whats the current in a 47-k resistor with 110 V...Ch. 24 - The third rail that carries electric power to a...Ch. 24 - What current flows when a 45-V potential...Ch. 24 - A uniform wire of resistance R is stretched until...Ch. 24 - A cars starter motor draws 125 A with 11 V across...Ch. 24 - A 4.5-W flashlight bulb draws 750 mA. (a) At what...Ch. 24 - A watch uses energy at the rate of 240 W. What...Ch. 24 - A 35- electric stove burner consumes 1.5 kW of...Ch. 24 - An incandescent lightbulb draws 0.50 A, while a...Ch. 24 - Though rare, electrocution has been reported under...Ch. 24 - You touch a defective appliance while standing on...Ch. 24 - You have a typical resistance of 100 k. (a) How...Ch. 24 - An ion channel in a cell membrane carries 2.4 pA...Ch. 24 - A lightbulb filament has diameter 0.050 mm and...Ch. 24 - A gold film in an integrated circuit measures 1.85...Ch. 24 - A copper wire joins an aluminum wire whose...Ch. 24 - Prob. 40P Ch. 24 - In a study of proteins mediating cell membrane...Ch. 24 - Theres a 2.5-V potential difference between...Ch. 24 - The maximum safe current in 12-gauge...Ch. 24 - Silver and iron wires of the same length and...Ch. 24 - You have a cylindrical piece of material 2.4 cm...Ch. 24 - How must the diameters of copper and aluminum wire...Ch. 24 - Youre writing the instruction manual for a power...Ch. 24 - An implanted pacemaker supplies the heart with 72...Ch. 24 - A solid rectangular iron bar measures 0.50 cm by...Ch. 24 - Each pulse produced by the Taser described in the...Ch. 24 - The Nissan Leaf is an all-electric car powered by...Ch. 24 - An electric heater is tested by immersing it in...Ch. 24 - Magnetic effects involving Jupiters moon Io result...Ch. 24 - At a particular point in a material with...Ch. 24 - A thermally insulated container of seawater...Ch. 24 - Youre heading out for spring break, but your car...Ch. 24 - Two cylindrical resistors are made from the same...Ch. 24 - Youre working on a new high-speed rail system. It...Ch. 24 - A 100%-efficicnt electric motor is lifting a 15-N...Ch. 24 - A power plant produces 1000 MW to supply a city 40...Ch. 24 - Youre estimating costs for a new power line with...Ch. 24 - A 240-V electric motor is 90% efficient, meaning...Ch. 24 - A metal bar has rectangular cross section 5.0 cm...Ch. 24 - An immersion-type heating coil is connected to a...Ch. 24 - The resistivity of copper as a function of...Ch. 24 - Each atom in aluminum contributes about 3.5...Ch. 24 - Prob. 67P Ch. 24 - Figure 24.20 shows a truncated cone of material...Ch. 24 - The current density in a particle beam with...Ch. 24 - Prob. 70P Ch. 24 - You work for an automobile manufacturer developing...Ch. 24 - During the brownout, the current in conductors...Ch. 24 - Which of the following occurs in the conductors of...Ch. 24 - During the brownout, the power dissipated in...Ch. 24 - Prob. 75PP

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The drift velocity of the electrons.

Solution Summary: The author explains how to determine the drift velocity of electrons in vacuum tube, copper tube and ions.

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Chapter 24 Solutions