In earlier times when many households received nondigitaltelevision signals from an antenna, the lead-in wires fromthe antenna were often constructed in the form of two paral-lel wires (Fig. P31.50). The two wires carry currents of equalmagnitude in opposite directions. The center-to-centerseparation of the wires is w, and a is their radius. Assumew is large enough compared with a that the wires carry thecurrent uniformly distributed over their surfaces and negli-gible magnetic field exists inside the wires. (a) Why does thisconfiguration of conductors have an inductance? (b) WhatTV antennaTV setFigure P31.50constitutes the flux loop for this configuration? (c) Showthat the inductance of a length x of this type of lead-in isw -aLIna

(a) In the given configuration there is the inductance in the configuration of the conductors and…

Answered: In earlier times when many households…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter31: Gauss’s Law For Magnetism And Ampère’s Law

Section: Chapter Questions

Problem 31PQ

See similar textbooks

Similar questions

Unreasonable results Frustrated by the small Hall voltage obtained in blood flow measurements, a medical physicist decides to increase the applied magnetic field strength to get a 0.500-V output for blood moving at 30.0 cm/s in a 1.50-cm-diameter vessel. (a) What magnetic field strength is needed? (b) What is unreasonable about this result? (C) Which premise is responsible?
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.
Q7. A solid conductor of circular cross section. If the radius a = 1 mm, the conductor axis lies on the z axis, and the total current in the a, direction is 20 A, find: (a) Ho at r= 0.5mm; (b) Bo at r= 0.8 mm; (c) the total magnetic flux per unit length inside the conductor; (d) the total flux for r< 0.5 mm; (e) the total magnetic flux outside the conductor.? -0.8 0.5 I=20A -------------
Exploding Shoes. The rain-soaked shoes of a person may explode if ground current fromnearby lightning vaporizes the water. The sudden conversion of water to water vapor causesa dramatic expansion that can rip apart shoes. Water has a density of 1000 kg/m^3 and requires2256 kJ/kg to be vaporized. If a horizontal current lasts 2.00 ms and encounters water withresistivity 150 Ω·m, length 12 cm, and vertical cross-sectional area 15×10^−5 m^2, what average current is required to vaporize the water?
A 2.60-N metal bar, 0.850 m long and having a resistance of 10.0 Ω, rests horizontally on conducting wires connecting it to the circuit shown in Fig. P27.62. The bar is in a uniform, horizontal, 1.60-T magnetic field and is not attached to the wires in the circuit. What is the acceleration of the bar just after the switch S is closed?
There is a 8 m wire with a current of 15 amps exposed horizontally between two concrete walls. What is the magnitude of the B-field in micro-tesla (u T) 1 m up from the wire and 3.8 m out from the left wall?
In Figure P19.2, assume in each case the velocity vector shownis replaced with a wire carrying a current in the direction ofthe velocity vector. For each case, find the direction of themagnetic force acting on the wire.
A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)= see image 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 = 0.49 mm. A) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. B) What is the maximum value of the enclosed current, in amperes? C) For what r, in meters, is the magnetic field maximized? D) What is the maximum value of the magnetic field, in tesla?
A 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?
A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)= see image 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 = 0.49 mm. A) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I.
A. 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)?
A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)= see image 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 = 0.49 mm. A) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. B) For what r, in meters, is the magnetic field maximized? C) What is the maximum value of the magnetic field, in tesla?

SEE MORE QUESTIONS

Recommended textbooks for you

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

Glencoe Physics: Principles and Problems, Student…

Physics

ISBN:

9780078807213

Author:

Paul W. Zitzewitz

Publisher:

Glencoe/McGraw-Hill

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS