Infinitely many long, straight conductors with square cross sections are laid side-by-side to form an infinitely large sheet of current. Each conductor carries a current I that is distributed uniformly over the cross section of the conductor. The conductors lie in the xy-plane, are parallel to the y-axis, and carry current in the +y-direction. There are n conductors per unit length measured along the x-axis. ● ● I X y z (a) The magnetic field above the current sheet points in the -x-direction, and the field below the sheet points in the +x-direction. Argue why this must be true based on the symmetry of the current distribution. (b) Use Ampere's law to find the magnitude of the magnetic field a distance a above the current sheet. (Hint: Your Amperian loop should be rectangular and enclose some current. At a given point on the Amperian loop, the magnetic field should be either parallel or perpendicular to the integration path.)

Infinitely many long, straight conductors with square cross sections are laid side-by-side to form an infinitely large sheet of current. Each conductor carries a current I that is distributed uniformly over the cross section of the conductor. The conductors lie in the xy-plane, are parallel to the y-axis, and carry current in the +y-direction. There are n conductors per unit length measured along the x-axis. ● ● I X y z (a) The magnetic field above the current sheet points in the -x-direction, and the field below the sheet points in the +x-direction. Argue why this must be true based on the symmetry of the current distribution. (b) Use Ampere's law to find the magnitude of the magnetic field a distance a above the current sheet. (Hint: Your Amperian loop should be rectangular and enclose some current. At a given point on the Amperian loop, the magnetic field should be either parallel or perpendicular to the integration path.)

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter4: Transmission Line Parameters

Section: Chapter Questions

Problem 4.1P: The Aluminum Electrical Conductor Handbook lists a dc resistance of 0.01558 ohm per 1000 ft at 20C...

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