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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab853db7-ef4b-48e4-848e-f53850bc9ffb%2Faf1b332e-6b5e-4bfb-b71e-fa6f2949311c%2Fylhprw_processed.jpeg&w=3840&q=75)
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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