Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 28, Problem 36PQ
To determine
To show that the resistance is dependent on temperature.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Resistance in metals increases with increasing temperature according to the equation, ρ(T) = ρo(1 + α(T - To)) where α is the temperature coefficient of resistivity and ρo is the resistivity at temperature To. For a particular wire α = 9.5 × 10-3 1/°C and the resistivity is ρo = 4.5 × 10-7 Ω⋅m at To = 154 °C.
a). Input an expression for the temperature T2 at which the resistance of a wire will be twice as high as at T0.
b). If the wire is L = 1 m long with a radius of r = 1 cm, what is its resistance R, in Ω, at 2To?
A two wires, one of Copper and the other of Nickel, if the resistance of the first is (12.7 Q), and
the second is (11.6 Q) at room temperature, at what temperature are their resistances equal?
Note that the temperature coefficient of resistivity of Copper is (0.0039 C-1), and for Nickel it is
equal to (0.006 c-1).
A
x=0
A
AV
A potential difference of AV = 30 (V) is applied to the
ends of a straight wire with cross section A length of
L = 2 (m). The resistivity of the wire varies with
p(x) = (1+x) (nm). Here x is the distance measured
from one end of the wire in meters.
B
What is the magnitude of the electric field at the midpoint
(x = L/2) of the wire, in (V/m)?
n
D
10
9.0
30
p(x)
15
x=L
20
X
Chapter 28 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 28.1 - Prob. 28.1CECh. 28.2 - Prob. 28.2CECh. 28.3 - Prob. 28.3CECh. 28.5 - When a lightbulb burns out, its filament breaks so...Ch. 28.6 - A battery with terminal potential is connected to...Ch. 28.7 - A battery of terminal potential is connected to a...Ch. 28 - Prob. 1PQCh. 28 - Prob. 2PQCh. 28 - Prob. 3PQCh. 28 - Prob. 4PQ
Ch. 28 - Prob. 5PQCh. 28 - Prob. 6PQCh. 28 - Prob. 7PQCh. 28 - Prob. 8PQCh. 28 - Prob. 9PQCh. 28 - Prob. 10PQCh. 28 - Prob. 11PQCh. 28 - Prob. 12PQCh. 28 - Prob. 13PQCh. 28 - Prob. 14PQCh. 28 - The current in a wire varies with time (measured...Ch. 28 - Prob. 16PQCh. 28 - The amount of charge that flows through a copper...Ch. 28 - Prob. 18PQCh. 28 - Prob. 19PQCh. 28 - Prob. 20PQCh. 28 - Prob. 21PQCh. 28 - Prob. 22PQCh. 28 - A copper wire that is 2.00 mm in radius with...Ch. 28 - Prob. 24PQCh. 28 - Prob. 25PQCh. 28 - Prob. 26PQCh. 28 - What is the electric field in an aluminum wire if...Ch. 28 - Prob. 28PQCh. 28 - Prob. 29PQCh. 28 - Prob. 30PQCh. 28 - Prob. 31PQCh. 28 - Prob. 32PQCh. 28 - Two concentric, metal spherical shells of radii a...Ch. 28 - Prob. 34PQCh. 28 - Prob. 35PQCh. 28 - Prob. 36PQCh. 28 - Prob. 37PQCh. 28 - A lightbulb is connected to a variable power...Ch. 28 - Prob. 39PQCh. 28 - Prob. 40PQCh. 28 - Prob. 41PQCh. 28 - Prob. 42PQCh. 28 - Prob. 43PQCh. 28 - A Two wires with different resistivities, 1 and 2,...Ch. 28 - A copper and a gold wire are supposed to have the...Ch. 28 - Gold bricks are formed with the dimensions 7358134...Ch. 28 - Prob. 47PQCh. 28 - Prob. 48PQCh. 28 - Prob. 49PQCh. 28 - Prob. 50PQCh. 28 - Prob. 51PQCh. 28 - Prob. 52PQCh. 28 - Prob. 53PQCh. 28 - Prob. 54PQCh. 28 - A two-slice bread toaster consumes 850.0 W of...Ch. 28 - Prob. 56PQCh. 28 - Prob. 57PQCh. 28 - Prob. 58PQCh. 28 - Prob. 59PQCh. 28 - Prob. 60PQCh. 28 - Prob. 61PQCh. 28 - Prob. 62PQCh. 28 - Prob. 63PQCh. 28 - Prob. 64PQCh. 28 - Prob. 65PQCh. 28 - Prob. 66PQCh. 28 - Prob. 67PQCh. 28 - Prob. 68PQCh. 28 - Prob. 69PQCh. 28 - Prob. 70PQCh. 28 - Prob. 71PQCh. 28 - Prob. 72PQCh. 28 - Prob. 73PQCh. 28 - Prob. 74PQCh. 28 - Review When a metal rod is heated, its resistance...Ch. 28 - Prob. 76PQCh. 28 - Prob. 77PQCh. 28 - Prob. 78PQCh. 28 - Prob. 79PQCh. 28 - Prob. 80PQCh. 28 - Prob. 81PQCh. 28 - A conducting material with resistivity is shaped...
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
- (a) During surgery, a current as small as 20.0A applied directly to the heart may cause ventricular fibrillation. If the resistance of the exposed heart is 300 what is the smallest voltage that poses thisdanger? (b) Does your answer imply that special electrical safetyprecautions are needed?arrow_forwardA conductor bar (o=5.8*107 S/m) of square cross section (DxD) has a circular bored along its length of L (m). Side length of square is D and diameter of circular hole is d. Find the resistance (R) in nano ohms between square ends for d=0.7 cm, D=4.9 cm and L=5.3 m. O a. 40612.76 O b. 30943.06 O c. 38678.82 O d. 34810.94 O e. 42546.70arrow_forwardThe resistance R of a piece of wire has thermometric properties which can be described as a linear function of temperature (T, in C), R=mT¹/2+n Where m and n are constants. The resistance of the wire is found to be 4.80 at the temperature of melting ice (0.0 ℃) and 9.30 № at the boiling of water (100 °C) at atmospheric pressure. a) Find the constants m and n. b) Determine the temperature when R is 7.95 №. c) Based on the information provided above, is this wire element suitable for determining temperature below 0 ℃?arrow_forward
- b In the circuit shown, Determine the following: a 7 V 2 V+ A. Magnitude and direction of the current (Ans. I = 0.3889 A, CCW) B. The potential differences Vad,Vef and Vre (Ans. Vad = 7.8333 V, Vef = -1.8889 V, Vhe = 4.3333 V) h d 6 V+ 6Ω 4 V + f earrow_forwardA cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ. Express the resistance in terms of L, r, ρ. R0 = I have tried r L/ρ ,( ρ L/r ),L/r, r L/ρ, ( ρ L/r ), ( P L/π r2 ), and ( ρ L/π r2 ) None of these are correct please help me figure out the correct equation.arrow_forwardm An aluminum wire having a cross-sectional area equal to 2.10 x 107 -6 electron per atom. Find the drift speed of the electrons in the wire. mm/s Need Help? Read It carries a current of 7.00 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conductionarrow_forward
- A conducting material with resistivity is shaped into a wire of length ( with a tapered cross section that decreases from radius r1 on the left end to r2 on its right end (Fig. F28.82). If the current density in the wire is a constant as a function of the horizontal distance x along the wire, what is the resistance of this tapered wire?arrow_forwardA copper and a gold wire are supposed to have the same resistance. The copper wire has a radius of 2.50 mm, and the gold wire has a radius of 3.25 mm. If the copper wire is 1.20 m long, what must be the length of the gold wire?arrow_forward(a) During surgery, a current as small as 20.0 ? applied directly to the heart may cause ventricular fibrillation. If the resistance of the exposed heart is 300 , what is the smallest voltage that poses this danger? (b) Does your answer imply that special electrical safety precautions are needed?arrow_forward
- A copper wire that is 2.00 mm in radius with density 8.94 g/cm3 has a current of 8.00 A. The molar mass of copper is 63.5463, and each copper atom contributes one free electron. What is the drift speed of the electrons in the copper wire?arrow_forwardReview When a metal rod is heated, its resistance changes both because of a change in resistivity and because of a change in the length of the rod. If a silver rod has a resistance of 2.00 at 22.0C, what is its resistance when it is heated to 200.0C? The temperature coefficient for silver is = 6.1 103 C1, and its coefficient of linear expansion is 18 106 C1. Assume that the rod expands in all three dimensions.arrow_forwardWhat is the electric field in an aluminum wire if the drift speed of the free electrons in the wire is measured to be 4.50 105 m/s? The resistivity of aluminum is 2.655108m.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY