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8-2 The pattern of magnetic
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flux lines (dashed curves) around a bar magnet (rectangle). The N and S represent north and south magnetic poles, respectively.
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The intensity of a magnetic field is determined according to the number of flux lines passing through a certain cross section, such as a square centimeter or a square meter. The lines don t exist as real objects, but it is intuitively appealing to imagine them that way. The iron filings on the paper really do bunch themselves into lines (curves, actually) when there is a magnetic field of sufficient strength to make them move. Sometimes lines of flux are called lines of force. But technically, this is a misnomer.
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flux lines (dashed curves) around a straight, currentcarrying wire can be seen when the wire passes through a horizontal sheet of paper sprinkled with iron filings.
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Poles A magnetic field has a specific direction, as well as a specific intensity, at any given point in space near a current-carrying wire or a permanent magnet. The flux lines run parallel with the direction of the field. A magnetic field is considered to begin at the north magnetic pole, and to terminate at the south magnetic pole. In the case of a permanent magnet, it is obvious where the magnetic poles are. In the case of a current-carrying wire, the magnetic field goes in endless circles around the wire. A charged electric particle, such as a proton or electron, hovering all by itself in space, constitutes an electric monopole. The electric lines of flux around an isolated, charged particle in free space are straight, and they run off to infinity (Fig. 8-4). A positive electric charge does not have to be mated with a negative electric charge. A magnetic field is different. All magnetic flux lines, at least in ordinary real-world situations, are closed loops. With permanent magnets, there is a starting point (the north pole) and an ending point (the south pole). Around a straight, current-carrying wire, the loops are closed circles, even though the starting and ending points are not obvious. A pair of magnetic poles is called a magnetic dipole. At first you might think that the magnetic field around a current-carrying wire is caused by a monopole, or that there aren t any poles at all, because the concentric circles don t actually converge anywhere. But you can envision a half plane, with the edge along the line of the wire, as a magnetic dipole. Then the lines of flux go around once in a 360 circle from the north face of the half plane to the south face. The greatest flux density, or field strength, around a bar magnet is near the poles, where the lines converge. Around a current-carrying wire, the greatest field strength is near the wire.
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8-4 Electric flux lines (dashed lines) around an electrically charged object. This
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example shows a positive charge. The pattern of flux lines for a negative charge is identical.
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120 Magnetism
Magnetic Field Strength
The overall magnitude of a magnetic field is measured in units called webers (Wb). A smaller unit, the maxwell (Mx), is sometimes used if a magnetic field is weak. One weber is equivalent to 100,000,000 (108) maxwells. Conversely, 1 Mx = 0.00000001 Wb = 10 8 Wb.
The Tesla and the Gauss If you have access to a permanent magnet or electromagnet, you might see its strength expressed in terms of webers or maxwells. But usually you ll hear units called teslas (T) or gauss (G). These units are expressions of the concentration, or intensity, of the magnetic field within a certain cross section. The flux density, or number of lines per square meter or per square centimeter, is a more useful expression for magnetic effects than the overall quantity of magnetism. A flux density of 1 tesla (1 T) is equal to 1 weber per square meter (1 Wb/m2). A flux density of 1 gauss (1 G) is equal to 1 maxwell per square centimeter (1 Mx/cm2). It turns out that the gauss is equal to 0.0001 tesla (10 4 T). Conversely, the tesla is equivalent to 10,000 gauss (104 G). The Ampere-Turn and the Gilbert With electromagnets, another unit is employed: the ampere-turn (At). This is technically a unit of magnetomotive force, which is the magnetic counterpart of electromotive force. A wire, bent into a circle and carrying 1 A of current, produces 1 At of magnetomotive force. If the wire is bent into a loop having 50 turns, and the current stays the same, the resulting magnetomotive force is 50 At. If the current is then reduced to 1/50 A or 20 mA, the magnetomotive force will go back down to 1 At. The gilbert (Gb) is also used to express magnetomotive force, but it is less common than the ampere-turn. One gilbert (1 Gb) is equal to 0.796 At. Conversely, 1 At = 1.26 Gb.
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