Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
9th Edition
ISBN: 9781305932302
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 27, Problem 68AP
(a)
To determine
The magnitude and direction of the electric field in the wire.
(b)
To determine
The resistance of the wire.
(c)
To determine
The magnitude and direction of the
(d)
To determine
The current density in the wire.
(e)
To determine
To show: The expression for electric field in the wire is given by
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A straight, cylindrical wire lying along the x axis has a length L and a diameter d. It is made of a material described by Ohm’s law with a resistivity ρ. Assume potential V is maintained at the left end of the wire at x = 0. Also assume the potential is zero at x = L. In terms of L, d, V, ρ, and physical constants, derive expressions for (a) the magnitude and direction of the electric field in the wire, (b) the resistance of the wire, (c) the magnitude and direction of the electric current in the wire, and (d) the current density in the wire. (e) Show that E = ρJ.
A straight, cylindrical wire lying along the x axis has a length of 0.500 m and a diameter of 0.200 mm. It is made of a material described by Ohm’s law with a resistivity of ρ = 4.00 x 10-8 Ω ⋅ m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.500 m. Find (a) the magnitude and direction of the electric field in the wire, (b) the resistance of the wire, (c) the magnitude and direction of the electric current in the wire, and (d) the current density in the wire. (e) Show that E = ρJ.
Air isn’t a perfect electric insulator, but it has a very high resistivity. Dry air has a resistivity of approximately 3 x 1013 Ω • m. A capacitor has square plates 10 cm on a side separated by 1.2 mm of dry air. If the capacitor is charged to 250 V, what fraction of the charge will flow across the air gap in 1 minute? Make the approximation that the potential difference doesn’t change as the charge flows.
Chapter 27 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
Ch. 27.1 - Consider positive and negative charges of equal...Ch. 27.2 - Prob. 27.2QQCh. 27.2 - Prob. 27.3QQCh. 27.4 - When does an incandescent lightbulb carry more...Ch. 27.6 - Prob. 27.5QQCh. 27 - Prob. 1OQCh. 27 - Prob. 2OQCh. 27 - Prob. 3OQCh. 27 - Prob. 4OQCh. 27 - Prob. 5OQ
Ch. 27 - Prob. 6OQCh. 27 - Prob. 7OQCh. 27 - Prob. 8OQCh. 27 - Prob. 9OQCh. 27 - Prob. 10OQCh. 27 - Prob. 11OQCh. 27 - Prob. 12OQCh. 27 - Prob. 13OQCh. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Prob. 5CQCh. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - Prob. 1PCh. 27 - A small sphere that carries a charge q is whirled...Ch. 27 - Prob. 3PCh. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - Prob. 7PCh. 27 - Prob. 8PCh. 27 - The quantity of charge q (in coulombs) that has...Ch. 27 - Prob. 10PCh. 27 - Prob. 11PCh. 27 - Prob. 12PCh. 27 - Prob. 13PCh. 27 - Prob. 14PCh. 27 - A wire 50.0 m long and 2.00 mm in diameter is...Ch. 27 - A 0.900-V potential difference is maintained...Ch. 27 - Prob. 17PCh. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Prob. 20PCh. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - Prob. 23PCh. 27 - Prob. 24PCh. 27 - Prob. 25PCh. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - While taking photographs in Death Valley on a day...Ch. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - Prob. 33PCh. 27 - Prob. 34PCh. 27 - At what temperature will aluminum have a...Ch. 27 - Assume that global lightning on the Earth...Ch. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - The potential difference across a resting neuron...Ch. 27 - Prob. 41PCh. 27 - Prob. 42PCh. 27 - Prob. 43PCh. 27 - Prob. 44PCh. 27 - Prob. 45PCh. 27 - Prob. 46PCh. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - Prob. 50PCh. 27 - Prob. 51PCh. 27 - Prob. 52PCh. 27 - Prob. 53PCh. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - Prob. 56PCh. 27 - Prob. 57APCh. 27 - Prob. 58APCh. 27 - Prob. 59APCh. 27 - Prob. 60APCh. 27 - Prob. 61APCh. 27 - Prob. 62APCh. 27 - Prob. 63APCh. 27 - Review. An office worker uses an immersion heater...Ch. 27 - Prob. 65APCh. 27 - Prob. 66APCh. 27 - Prob. 67APCh. 27 - Prob. 68APCh. 27 - Prob. 69APCh. 27 - Prob. 70APCh. 27 - Prob. 71APCh. 27 - Prob. 72APCh. 27 - Prob. 73APCh. 27 - Prob. 74APCh. 27 - Prob. 75APCh. 27 - Prob. 76APCh. 27 - Review. A parallel-plate capacitor consists of...Ch. 27 - The dielectric material between the plates of a...Ch. 27 - Prob. 79APCh. 27 - Prob. 80APCh. 27 - Prob. 81APCh. 27 - Prob. 82CPCh. 27 - Prob. 83CPCh. 27 - Material with uniform resistivity is formed into...Ch. 27 - Prob. 85CP
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
- Two conducting wires A and B of the same length and radius are connected across the same potential difference. Conductor A has twice the resistivity of conductor B. What is the ratio of the power delivered to A to the power delivered to B? (a) 2 (b) 2 (c) 1 (d) 12 (e)12arrow_forwardA potential difference of 1.00 V is maintained across a 10.0- resistor for a period of 20.0 s. What total charge passes by a point in one of the wires connected to the resistor in this time interval? (a) 200 C (b) 20.0 C (c) 2.00 C (d) 0.005 00 C (e) 0.050 0 Carrow_forwardA capacitor with initial charge Q0 is connected across a resistor R at time t = 0. The separation between the plates of the capacitor changes as d = d0/(1 + t) for 0 t 1 s. Find an expression for the voltage drop across the capacitor as a function of time.arrow_forward
- The temperature near the center of the Sun is thought to be 15 million degrees Celsius ( 1.5107oC ) (or kelvin). Through what voltage must a singly charged ion be accelerated to have the same energy as the average kinetic energy of ions at this temperature?arrow_forwardA straight, cylindrical wire lying along the x axis has a length of 0.515 m and a diameter of 0.195 mm. It is made of a material described by Ohm's law with a resistivity of ? = 4.00 ✕ 10−8 Ω · m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.515 m. (a) Find the magnitude (in V/m) and direction of the electric field in the wire. (b) Find the resistance of the wire (in Ω). (c) Find the magnitude (in A) and direction of the electric current in the wire. (d) Find the current density in the wire (in MA/m2). See image for the full question.arrow_forwardYou are working with an oceanographer who is studying how the ion concentration in seawater depends on depth. She shows you the device that she uses to measure the resistivity of water from a boat. It consists of a pair of concentric metallic cylinders at the end of a cable (as shown). Seawater flows freely between the two cylindrical shells. She makes a measurement by lowering the device into the water and applying a potential difference ΔV between the inner and outer cylinders. This produces an outward radial current I in the seawater between the shells. She shows you the current and voltage data for the water at a particular depth and is then called away to answer a long call on her cellphone about a laboratory issue back on the mainland. As she leaves, she says, “Have the resistivity of the water calculated when I get back.” She forgot to show you any tables or formulas to use to determine the resistivity, so you are on your own. Quick! Find an expression for the resistivity in…arrow_forward
- A conducting spherical electrode of radius a is suspended with its center at a height h above the bottom of a large metal tank filled with a conducting medium having a conductivity s. Derive a formula for the resistance between the electrode and the metal tank. The tank is large enough to be considered as infinite. The electrode and the tank may be assumed to be made of perfect conductors.arrow_forwardEarth's lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays from space. In a certain region, the atmospheric electric field strength is 174 V/m and the field is directed vertically down. This field causes singly charged positive ions, at a density of 868 cm³, to drift downward and singly charged negative ions, at a density of 624 cm3, to drift upward (see the figure). The measured conductivity of the air in that region is 3.45 x 10-14 (0-m)-¹. Calculate (a) the magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions. (a) Number i (b) Number Units Unitsarrow_forwardA straight, cylindrical wire lying along the x axis has a length of 0.450 m and a diameter of 0.165 mm. It is made of a material described by Ohm's law with a resistivity of p = 4.00 x 10-8 m. Assume a potential of 4.00 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.450 m. (a) Find the magnitude (in V/m) and direction of the electric field in the wire. magnitude V/m direction -Select--- ✓ (b) Find the resistance of the wire (in 22). 22 (c) Find the magnitude (in A) and direction of the electric current in the wire. magnitude direction ---Select--- (d) Find the current density in the wire (in MA/m²). MA/m² (e) Show that E = p. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet.arrow_forward
- Dry air is a pretty decent insulator; it has a very high resistivity of 3 × 101³ 2 · m. Consider a capacitor that has square plates 15 cm on a side, separated by 0.8 mm of dry air. The capacitor is charged such that it has a potential of 320 V between the plates. First, what is the resistance of the volume of air between the plates in G2 (to 3 significant digits)? 1,070 Question 10 1 What is the capacitance of this capacitor (in pF to 3 significant digits)?arrow_forwardA straight, cylindrical wire lying along the x axis has a length of 0.5 m and a diameter of0.2 mm. It is made of a material described by Ohm’s law with a resistivity of ρ 4 × 10-8Ωm. Assume a potential of 4 V is maintained at the left end of the wire at x = 0. Alsoassume V = 0 at x = 0.5 m. Find (a) the magnitude and direction of the electric field in thewire, (b) the resistance of the wire, (c) the magnitude and direction of the electric currentin the wire, and (d) the current density in the wire. (e) Show that E = ρ J. (E = −dVdx)arrow_forwardA coaxial cable of consists of two concentric cylindrical conductors. The region between the conductors is completely filled with polyethylene plastic. The radius of the inner conductor is 0.50 cm, the radius of the outer conductor is 1.75 cm, and the length of the cable is 15 cm. The resistivity of the plastic is 1013 Ω • m. Calculate the resistance of the plastic if the electric field is applied across the ends of the conductor.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 LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author: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
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning