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 34, Problem 51PQ
To determine
The magnitude of Poynting vector.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
a long, straight copper wire (diameter 2.50 mm and resistance 1.00 ohm per 300 m) carries a uniform current of 25.0 A in the positive x direction. For point P on the wire’s surface, calculate the magnitudes of (a) the electric field , (b) the magnetic field , and (c) the Poynting vector , and (d) determine the direction of S.
The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B at r < a, a < r < b, and r > b.
Calculate the Poynting vector S in the cable.
A cylindrical solenoid of radius R and height h consists of N windings. There is a current through the windings, and this current increases with time as I=αt, where α is a constant.
b. Determine the magnitude of the Poynting vector at a radial distance r=R from the center of the long center axis of the solenoid. Express your answer in terms of magnetic constant μ0, α, R, h, N and t.
c. Use the result of the previous part to derive an expression for the power input to the solenoid as a function of time. Express your answer in terms of π, magnetic constant μ0, α, R, h, N and t.
d. Using the formula for the inductance of an ideal solenoid, calculate the power from the rate of change of the stored magnetic energy. Express your answer in terms of π, magnetic constant μ0, α, R, h, N and t.
Chapter 34 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 34.1 - Prob. 34.1CECh. 34.2 - Prob. 34.2CECh. 34.4 - The electric part of an electromagnetic wave is...Ch. 34.5 - Prob. 34.4CECh. 34.5 - Prob. 34.5CECh. 34.6 - Prob. 34.6CECh. 34.8 - Prob. 34.7CECh. 34 - Prob. 1PQCh. 34 - Prob. 2PQCh. 34 - A circular coil of radius 0.50 m is placed in a...
Ch. 34 - Prob. 4PQCh. 34 - A solenoid with n turns per unit length has radius...Ch. 34 - Prob. 6PQCh. 34 - Prob. 7PQCh. 34 - Prob. 8PQCh. 34 - Prob. 9PQCh. 34 - Prob. 10PQCh. 34 - Prob. 11PQCh. 34 - Prob. 12PQCh. 34 - Prob. 13PQCh. 34 - Prob. 14PQCh. 34 - Prob. 15PQCh. 34 - Prob. 16PQCh. 34 - Prob. 17PQCh. 34 - Prob. 18PQCh. 34 - Prob. 19PQCh. 34 - Prob. 20PQCh. 34 - Ultraviolet (UV) radiation is a part of the...Ch. 34 - Prob. 22PQCh. 34 - What is the frequency of the blue-violet light of...Ch. 34 - Prob. 24PQCh. 34 - Prob. 25PQCh. 34 - Prob. 26PQCh. 34 - WGVU-AM is a radio station that serves the Grand...Ch. 34 - Suppose the magnetic field of an electromagnetic...Ch. 34 - Prob. 29PQCh. 34 - Prob. 30PQCh. 34 - Prob. 31PQCh. 34 - Prob. 32PQCh. 34 - Prob. 33PQCh. 34 - Prob. 34PQCh. 34 - Prob. 35PQCh. 34 - Prob. 36PQCh. 34 - Prob. 37PQCh. 34 - Prob. 38PQCh. 34 - Prob. 39PQCh. 34 - Prob. 40PQCh. 34 - Prob. 41PQCh. 34 - Prob. 42PQCh. 34 - Prob. 43PQCh. 34 - Prob. 44PQCh. 34 - Prob. 45PQCh. 34 - Prob. 46PQCh. 34 - Prob. 47PQCh. 34 - Prob. 48PQCh. 34 - Prob. 49PQCh. 34 - Prob. 50PQCh. 34 - Prob. 51PQCh. 34 - Prob. 52PQCh. 34 - Optical tweezers use light from a laser to move...Ch. 34 - Prob. 54PQCh. 34 - Prob. 55PQCh. 34 - Prob. 57PQCh. 34 - Prob. 58PQCh. 34 - Prob. 59PQCh. 34 - Prob. 60PQCh. 34 - Some unpolarized light has an intensity of 1365...Ch. 34 - Prob. 62PQCh. 34 - Prob. 63PQCh. 34 - Prob. 64PQCh. 34 - Unpolarized light passes through three polarizing...Ch. 34 - The average EarthSun distance is 1.00 astronomical...Ch. 34 - Prob. 67PQCh. 34 - Prob. 68PQCh. 34 - Prob. 69PQCh. 34 - Prob. 70PQCh. 34 - Prob. 71PQCh. 34 - Prob. 72PQCh. 34 - Prob. 73PQCh. 34 - Prob. 74PQCh. 34 - CASE STUDY In Example 34.6 (page 1111), we...Ch. 34 - Prob. 76PQCh. 34 - Prob. 77PQCh. 34 - Prob. 78PQCh. 34 - Prob. 79PQCh. 34 - Prob. 80PQCh. 34 - Prob. 81PQCh. 34 - Prob. 82PQCh. 34 - Prob. 83PQCh. 34 - In Section 34-1, we summarized classical...
Knowledge Booster
Similar questions
- A long, straight, cylindrical conductor contains a cylindrical cavity whose axis is displaced by n from the axis of the conductor, as shown in the accompanying figure. The current density in the conductor is given by J=J0k, where J0 is a constant and k is along the axis of the conductor. Calculate the magnetic field at an arbitrary point P in the cavity by superimposing the field of a solid cylindrical conductor with radius R1and current density Jonto the field of a solid cylindrical conductor with radius R2and current density J . Then use the fact that the appropriate azimuthal unit vectors can be expressed as 1=kr1and 2=kr2 to show that everywhere inside the cavity the magnetic field is given by the constant B=120J0ka , where a=r1r2 and r1=r1r1 is the position of P relative to the center of the conductor and r2=r2r2 is the position of P relative to the center of the cavity.arrow_forwardAn electron in a TV CRT moves with a speed of 6.0107 m/s, in a direction perpendicular to Earth's field, which has a strength of 5.0105 T. (a) What strength electric field must be applied perpendicular to the Earth’s field to make the election moves in a straight line? (b) If this is done between plates separated by 1.00 cm, what is the voltage applied? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a collection,)arrow_forwardOne common type of cosmic ray is a proton traveling at close to the speed of light. If the proton is traveling downward, as shown in Figure P30.14, at a speed of 1.00 107 m/s, what are the magnitude and direction of the magnetic field at point B?arrow_forward
- In the figure, a long, straight copper wire (diameter 2.58 mm and resistance 1.14 Q per 320 m) carries a uniform current of 24.0 A in the positive x direction. For point P on the wire's surface, calculate the magnitudes of (a) the electric field E ,(b) the magnetic field B , and (c) the Poynting vector Ś ,and (d) determine the direction of Ś . (a) Number Units (b) Number i Units (c) Number Units > >arrow_forwardAn electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J. Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Part (g) Express B in terms of J, a and r. Part (h) For r = 2 a, calculate the numerical value of B in Tesla. I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!arrow_forwardA. A conductor with radius (k) oriented along z-axis. The current pass through this conductor is J= (6p +4 p) az A/m, 1. Find the total current flows in this conductor at (0 < Ø < 2n) and radius is K (8 mm)? 2. Find the magnetic field intensity as a function of p at (0< p< m)?arrow_forward
- A finite-length wire with current I = 5 A is positioned along the z-axis and is centered at the origin as shown in the figure. The current flows in the +z direction. The wire's length is l=10 cm. Determine the magnetic field intensity vector H at the point P(-1,0,0) cm using the superposition principle. Express the H vector in terms of (a) rectangular and (b) cylindrical components. dH into dl do the pagearrow_forwardWhen an electric current flows through the filament of an incandescent light bulb, it gets very hot and glows (or incandesces). Consider a particular bulb with a filament with 140 Ω resistance which carries a current of 1.00 A. Assume the length of the filament is L = 9.00 cm long with a radius of r = 0.900 mm. (a) Calculate the Poynting vector (in kW/m2) at the surface of the filament, associated with the static electric field producing the current and the current's static magnetic field. magnitude: ? kW/m2 direction: Radially inward or outward? (b) Find the magnitudes of the static electric field (in kV/m) and static magnetic field (in µT) at the surface of the filament. electric field: ? kV/m magnetic field: ? µTarrow_forwardA wire of circular cross-section carries current density that is not uniform but varies with distance from the center asj(r)=j0(1-(r/R)2),for radius r in the range 0 < r < R. Here, j0 is a constant with units amperes per square meter, and the radius of the wire is R = 0.27 mm. A. Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. B(r) = B. What is the maximum value of the magnetic field, in tesla?arrow_forward
- In the figure, a long, straight copper wire (diameter 2.46 mm and resistance 0.807 2 per 250 m) carries a uniform current of 25.0 A in the positive x direction. For point P on the wire's surface, calculate the magnitudes of (a) the electric field E, (b) the magnetic field B, and (c) the Poynting vector 3, and (d) determine the direction of S. y P (a) Number i (b) Number i (c) Number (d) -Y i Units V/m Units T Units W/m^arrow_forwardY I d a 13 X A long, straight wire carries current I in the -y direction along the y axis (so that the magnetic field due to this current has magnitude that is given by B = HOI 2π|x| everywhere in the xy plane). A rectangular region that the a wide and b tall lies in the xy plane with its closer edge d from the wire. What is the magnitude of the magnetic flux passing through the region?arrow_forwardAn ideal toroidal solenoid has innerradius r1 = 15.0 cm and outer radius r2 = 18.0 cm. The solenoid has250 turns and carries a current of 8.50 A. What is the magnitude of themagnetic field at the following distances from the center of the torus: 12.0 cmarrow_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 Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher: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
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning