University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)
14th Edition
ISBN: 9780134308142
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 25, Problem 25.69P
CALC A 1.50-m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula ρ(x) = a + bx2, where a and b are constants. At the left end, the resistivity is 2.25 × 10−8 Ω · m, while at the right end it is 8.50 × I0−8 Ω · m. (a) What is the resistance of this rod? (b) What is the electric field at its midpoint if it carries a 1.75-A current? (c) If we cut the rod into two 75.0-cm halves, what is the resistance of each half?
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule09:52
Students have asked these similar questions
A 1.50 m cylinder with a radius of 1.10 cm is made of a complex mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula p(x) = a + bx2, where a and b are constants. At the left end. the resistivity is 2.25*10-8 Ω.m and the right side is 4.50*10-8m.
(a) What is the resistance of this rod?
(b) What is the electric field at half its length if it carries a current of 1.24 A?
(c) If we cut the rod into two segments of 25.0 cm, what is the resistance of each half?
Aluminum has a resistivity of 2.65 × 10-8 Q × m. What is the resistance of 15 m of
aluminum wire with cross-sectional area 1.0 mm2?
O 1.3 x 102 2
1.6 Q
0.40 Q
56 Q
O 0.13 Q
25.69 A 1.50-m cylinder of radius 1.10 cm is made of a complicated mixture of materials. Its resistivity depends on the distance x from the left end and obeys the formula rho(x) = a + bx2, where a and b are constants. At the left end, the resistivity is 2.25 X 10-8 Ohm-meters, while at the right end it is 8.50 X 10-8 Ohm-meters. (a) What is the resistance of this rod? (b) What is the electric field at its midpoint if it carries a 1.75-A current?
Chapter 25 Solutions
University Physics with Modern Physics, Books a la Carte Edition; Modified MasteringPhysics with Pearson eText -- ValuePack Access Card -- for ... eText -- Valuepack Access Card (14th Edition)
Ch. 25.1 - Suppose we replaced the wire in Example 25.1 with...Ch. 25.2 - Prob. 25.2TYUCh. 25.3 - Suppose you increase the voltage across the copper...Ch. 25.4 - Rank the following circuits in order from highest...Ch. 25.5 - Rank the following circuits in order from highest...Ch. 25.6 - Which of the following factors will, if increased,...Ch. 25 - The definition of resistivity ( = E/J) implies...Ch. 25 - A cylindrical rod has resistance R. If we triple...Ch. 25 - A cylindrical rod has resistivity . If we triple...Ch. 25 - Two copper wires with different diameters are...
Ch. 25 - When is a 1.5-V AAA battery not actually a 1.5-V...Ch. 25 - Can the potential difference between the terminals...Ch. 25 - A rule of thumb used to determine the internal...Ch. 25 - Batteries are always labeled with their emf; for...Ch. 25 - We have seen that a coulomb is an enormous amount...Ch. 25 - Electrons in an electric circuit pass through a...Ch. 25 - Temperature coefficients of resistivity are given...Ch. 25 - Which of the graphs in Fig. Q25.12 best...Ch. 25 - Why does an electric light bulb nearly always burn...Ch. 25 - A light bulb glows because it has resistance. The...Ch. 25 - (See Discussion Question Q25.14.) An ideal ammeter...Ch. 25 - (See Discussion Question Q25.14.) Will a light...Ch. 25 - The energy that can be extracted from a storage...Ch. 25 - Eight flashlight batteries in series have an cmf...Ch. 25 - Small aircraft often have 24-V electrical systems...Ch. 25 - Long-distance, electric-power, transmission lines...Ch. 25 - Ordinary household electric lines in North America...Ch. 25 - A fuse is a device designed to break a circuit,...Ch. 25 - High-voltage power supplies are sometimes designed...Ch. 25 - The text states that good thermal conductors are...Ch. 25 - Lightning Strikes. During lightning strikes from a...Ch. 25 - A silver wire 2.6 mm in diameter transfers a...Ch. 25 - A 5.00-A current runs through a 12-gauge copper...Ch. 25 - An 18-gauge copper wire (diameter 1.02 mm) carries...Ch. 25 - Copper has 8.5 1028 free electrons per cubic...Ch. 25 - Prob. 25.6ECh. 25 - CALC The current in a wire varies with time...Ch. 25 - Current passes through a solution of sodium...Ch. 25 - BIO Transmission of Nerve Impulses. Nerve cells...Ch. 25 - (a) At room temperature, what is the strength of...Ch. 25 - A 1.50-m cylindrical rod of diameter 0.500 cm is...Ch. 25 - A copper wire has a square cross section 2.3 mm on...Ch. 25 - Prob. 25.13ECh. 25 - Prob. 25.14ECh. 25 - A cylindrical tungsten filament 15.0 cm long with...Ch. 25 - A ductile metal wire has resistance R. What will...Ch. 25 - Prob. 25.17ECh. 25 - Prob. 25.18ECh. 25 - Prob. 25.19ECh. 25 - Prob. 25.20ECh. 25 - A current-carrying gold wire has diameter 0.84 mm....Ch. 25 - A hollow aluminum cylinder is 2.50 m long and has...Ch. 25 - Prob. 25.23ECh. 25 - A carbon resistor is to be used as a thermometer....Ch. 25 - A copper transmission cable 100 km long and 10.0...Ch. 25 - Consider the circuit shown in Fig. E25.26. The...Ch. 25 - An ideal voltmeter V is connected to a 2.0-11...Ch. 25 - An idealized ammeter is connected to a battery as...Ch. 25 - When switch S in Fig. E25.29 is open, the...Ch. 25 - The circuit shown in Fig. E25.30 contains two...Ch. 25 - In the circuit shown in Fig. E25.30, the 16.0-V...Ch. 25 - In the circuit of Fig. E25.30, the 5.0- resistor...Ch. 25 - The circuit shown in Fig. E25.33 contains two...Ch. 25 - When a resistor with resistance R is connected to...Ch. 25 - Light Bulbs. The power rating of a light bulb...Ch. 25 - If a 75-W" bulb (see Problem 25.35) is connected...Ch. 25 - European Light Bulb. In Europe the standard...Ch. 25 - A battery-powered global positioning system (GPS)...Ch. 25 - Consider the circuit of Fig. E25.30. (a) What is...Ch. 25 - BIO Electric Eels. Electric eels generate electric...Ch. 25 - BIO Treatment of Heart Failure. A heart...Ch. 25 - The battery for a certain cell phone is rated at...Ch. 25 - Prob. 25.43ECh. 25 - An idealized voltmeter is connected across the...Ch. 25 - A 25.0- bulb is connected across the terminals of...Ch. 25 - A typical small flashlight contains two batteries,...Ch. 25 - In the circuit in Fig. E25.47, find (a) the rate...Ch. 25 - A 540-W electric heater is designed to operate...Ch. 25 - Prob. 25.49ECh. 25 - In an ionic solution, a current consists of Ca2+...Ch. 25 - An electrical conductor designed to carry large...Ch. 25 - An overhead transmission cable for electrical...Ch. 25 - On your first day at work as an electrical...Ch. 25 - A 2.0-m length of wire is made by welding the end...Ch. 25 - A 3.00-m length of copper wire at 20 C has a...Ch. 25 - A heating clement made of tungsten wire is...Ch. 25 - CP BIO Struck by Lightning. Lightning strikes can...Ch. 25 - A resistor with resistance R is connected to a...Ch. 25 - CALC A material of resistivity is formed into a...Ch. 25 - CALC The region between two concentric conducting...Ch. 25 - The potential difference across the terminals of a...Ch. 25 - (a) What is the potential difference Vad in the...Ch. 25 - BIO The average bulk resistivity of the human body...Ch. 25 - BIO A person with body resistance between his...Ch. 25 - A typical cost for electrical power is 0,120 per...Ch. 25 - In the circuit shown in Fig. P25.66, R is a...Ch. 25 - A Nonideal Ammeter. Unlike the idealized ammeter...Ch. 25 - A cylindrical copper cable 1.50 km long is...Ch. 25 - CALC A 1.50-m cylinder of radius 1.10 cm is made...Ch. 25 - Compact Fluorescent Bulbs. Compact fluorescent...Ch. 25 - Prob. 25.71PCh. 25 - CP Consider the circuit shown in Fig. P25.72. The...Ch. 25 - CP Consider the circuit shown in Fig. P25.73. The...Ch. 25 - DATA An external resistor R is connected between...Ch. 25 - DATA The voltage drop Vab across each of resistors...Ch. 25 - DATA According to the U.S. National Electrical...Ch. 25 - Prob. 25.77CPCh. 25 - An external resistor with resistance R is...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...Ch. 25 - BIO SPIDERWEB CONDUCTIVITY. Some types of spiders...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The speed of the person sitting on the chair relative to the chair and relative to Earth.
Conceptual Physics (12th Edition)
A good-quality measuring tape can be off by 0.50cm over a distance of 20m . What is its percent uncertainty?
University Physics Volume 1
54. An oil tanker spills a large amount of oil (n = 1 45) into the sea (n = 1 33). (a) If you look down onto th...
College Physics (10th Edition)
Suppose the wheel makes one complete revolution in 2 seconds. For each of the following points, find the change...
Tutorials in Introductory Physics
Which of the two lighted areas receives more direct light (amount of energy on each unit of area) from the spot...
Lecture- Tutorials for Introductory Astronomy
25. The 100 kg block in FIGURE EX7.25 takes 6.0 s to reach the floor after being released from rest. What is th...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the weight if the wire was made of copper? (b) What is the weight of a 10.00-meter-long wire of the same gauge made of aluminum? (c)What is the resistance of the aluminum wire? The density of copper is 8960 kg/m3 and the density of aluminum is 2760 kg/m3.arrow_forwardAn aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.arrow_forwardTaking R = 1.00 k and = 250 V in Figure P21.49, determine the direction and magnitude of the current in the horizontal wire between a and e. Figure P21.49arrow_forward
- An aluminum wire has a length of 27.0 m and a resistance of 4.30 Q at 20.0°C. Assuming a circular cross-section, what is the wire's diameter (in mm)? The resistivity of aluminum at 20.0°C is 2.82 x 10-80 m. mmarrow_forwardWhat is the resistance (in m2) across a cylindrical piece of gold (resistivity p=0.022 µ0.m) that has a length of L=4.44 m and diameter of D=1.98 mm? O 23.56 O 36.82 O 15.82 O 21.97 O 31.72arrow_forwardA gold wire 2 mm in diameter and 100 m long is heated to 300°C. Note: p. = 2.44 x 10 -8 Q-m @ 20° C, a = 3.4 x 10 3 / °C @ 20° C %3D %3D What is the resistivity of the gold wire at 300°C? O 4.76 x 10-8Q-m O 2.44 x 1080-m O 2.32 x 10-8Q-m O 4.93 x 108 2-marrow_forward
- An aluminum wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.630 Ω. At 20°C, the resistivity of aluminum is 2.82 ✕ 10−8 Ω · m and its density is 2,700 kg/m3. How long (in m) is the wire? What is the diameter (in mm) of the wire?arrow_forwardA coaxial cable consists of an inner conductor with radius ri = 0.25 cm and an outer radius of ro = 0.5 cm and has a length of 10 meters. Plastic, with a resistivity of ρ = 2.00 × 1013 Ω · m , separates the two conductors. What is the resistance of the cable?arrow_forwardA silver wire with a circular cross-section has a mass of 1.45 g and a resistance of 0.790 Ω. At 20°C, the resistivity of silver is 1.59 ✕ 10−8 Ω · m and its density is 10,500 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mmarrow_forward
- I have questions on parts d, e, and f.arrow_forward3:08 l LTE Youngstown State University Edit Friday 9:58 AM 1. A conductor of radius r, length l and resistivity p has resistance R. It is melted down and formed into a new conductor, also cylindrical, with one fourth the length of the original conductor. What is the resistance of the new conductor? (Hint: the volume stays the same) 16R a. b. 4R c. 1. d. 4 iR 16R e.arrow_forwardA 5.0 cm length of a cylindrical copper wire has a radius of 0.01 mm. The resistivity of copper is 1.68 × 10−8[Ωm]. (a) What is the length of the wire in m? (b) What is the cross-sectional area of the wire in m2? (c) What is the resistance of the wire? (d) If a voltage of 2.8 × 10−9 V is set up across the ends of the wire, what is the current flowing through the wire? (e) How much charge will drift through a cross-section of this wire in 0.001s? (f) What is the rate of energy dissipation when that current is flowing through the wire?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Circuits, Voltage, Resistance, Current - Physics 101 / AP Physics Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=q8X2gcPVwO0;License: Standard YouTube License, CC-BY