Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 26, Problem 37P
To determine
To show:
The resistivity of the metals is proportional to
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Show that, according to the free-electron model of electrical conduction in metals and classical physics, the resistivity of metals should be proportional to where T is the temperature in kelvins.
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9 Figure 26-22 gives the drift speed Va
vaof conduction electrons in a copper
wire versus position x along the wire.
The wire consists of three sections
that differ in radius. Rank the three A
sections according to the following
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Figure 26-22 Question 9.
quantities, greatest first: (a) radius,
(b) number of conduction electrons per cubic meter, (c) magnitude
of electric field, (d) conductivity.
Chapter 26 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
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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Similar questions
- a) Determine the charge current density to produce a resistivity of 1010 Ωm at room temperature in a disc of dielectric material with diameter of 18 cm and thickness of 2 cm. The value of Arbitrary constant and Boltzmann Constant is assumed to be 3.5 * 10-8 and 1.38 * 10-23 J/K respectivelyarrow_forwardResistivity in metals increases with temperature according to the equation: ρ(T) = ρ0[1 + α(T - T0)] where α is the temperature coeficcient of restivity, and ρ0 is the restivity at the reference temperature T0. For a particular wire, the temperature coeficcient of restivity is α = 3.83 X 10-3 °C-1, and the restivity is ρ0 = 7.71 X 10-7 Ωm at the reference temperature T0 = 297°C. Find an expression for the temperature T2, at which the resistance of a particular wire will be twice as high as it is at the reference temperature T0. (Both temperatures are in degrees Celsius) Use this expression to find the temperature in degrees Celsius for T2. If the wire has a length of 1.00m and it has a circular cross section with a radius of 1.00cm, what is the resistance in ohms, at a temperature which is twice the reference temperature, T = 2T0 ?arrow_forwardProblem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature coefficient a = 3.9 x 10-3 K-1. A solid cylinder of copper of length L = 75 cm and diameter D = 1.5 mm has one end held at T1 = 14°C and the other end is held at T2 = 240°C. The temperature increases linearly between the two ends of the cylinder. L T2 dx Part (a) Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T1, and T2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, h, j, k, L, m, P, t, T1, T2, x Part (b) Determine the total resistance in milliohms. Numeric : A numeric value is expected and not an expression. R =arrow_forward
- The following directly affects the conductivity of a material except one. Which is it? the electron concentration of the material; the mean time per collision; (The answer cannot be found on the other choices.) the resistivity of the material;arrow_forwardElectric field through a copper wire is found to be 0.18 V/m. If the copper wire has 8.46x10²8 electrons per m³ and a conductivity of 1.7×10 m, estimate the drift velocity of the electrons.arrow_forwardQʻ: Calculate the drift velocity and mean free path of copper when it carries a steady current of 10 amperes and whose radius is 0.08 cm. Assume that the mean thermal velocity 1.6 x 10° m/s and the resistivity of copper 2 x 10° marrow_forward
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