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Explanation: The given statement is half true as steady current can generate the magnetic field but other half is false as the global charge conservation law is also obeyed by steady current. The steady current is the constant flow of charge in an electric wire, As

Explanation: The given statement is half true as steady current can generate the magnetic field but other half is false as the global charge conservation law is also obeyed by steady current. The steady current is the constant flow of charge in an electric wire, As

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Explanation: The given statement is half true as steady current can generate the magnetic field but other half is false as the global charge conservation law is also obeyed by steady current. The steady current is the constant flow of charge in an electric wire. As moving charges always generates magnetic field in the neighborhood space. The global charge conservation law states that the total charge is conserved in an isolated system. Steady currents have to obey the law of charge conservation. Consider some region of space completely enclosed by the balloon-like surface S. The surface integral of J over all of S gives the rate at which charge is leaving the volume enclosed. Now if charge forever pours out of, or into, a fixed volume, the charge density inside must grow infinite, unless some compensating charge is continually being created there. But charge creation is just what never happens. Therefore, for a truly time- independent current distribution, the surface integral of J over any closed surface must be zero. This is completely equivalent to the statement that, at every point in space, div J = 0.
Transcribed Image Text:Explanation: The given statement is half true as steady current can generate the magnetic field but other half is false as the global charge conservation law is also obeyed by steady current. The steady current is the constant flow of charge in an electric wire. As moving charges always generates magnetic field in the neighborhood space. The global charge conservation law states that the total charge is conserved in an isolated system. Steady currents have to obey the law of charge conservation. Consider some region of space completely enclosed by the balloon-like surface S. The surface integral of J over all of S gives the rate at which charge is leaving the volume enclosed. Now if charge forever pours out of, or into, a fixed volume, the charge density inside must grow infinite, unless some compensating charge is continually being created there. But charge creation is just what never happens. Therefore, for a truly time- independent current distribution, the surface integral of J over any closed surface must be zero. This is completely equivalent to the statement that, at every point in space, div J = 0.
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