qr code generator vb.net Introduction to Magnetism in Visual Studio .NET

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Introduction to Magnetism
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We are all familiar with what is called a permanent magnet. A permanent magnet is simply a piece of steel having the ability to attract to it other pieces of steel and iron. Such a magnet is called permanent because it is capable of retaining its attractive ability for many years. Of course, not all steels can be permanently magnetized. This is indeed fortunate, because the operation of many important electrical devices, such as transformers, depends upon the use of a steel that cannot be permanently magnetized. This type of steel (silicon steel) can be in a highly magnetized condition at one instant of time and then, almost instantly, lose all of its magnetization when the magnetizing force is removed. A permanent magnet produces a magnetic eld, which exists in the three-dimensional space surrounding the magnet. We can suppose that a magnetic eld consists of lines of magnetic force in the space surrounding the magnet. It should be noted that this is the same concept that was used to describe lines of ELECTRIC force in section 1.3 (Figs. 13 and 14). The direction of a magnetic eld, at any point in the eld, is de ned according to the direction that a compass needle would point if placed at that point in the eld. As you know, a compass needle has a north pole and a south pole, the north pole customarily being painted lightly, while the south pole is unpainted, as in the sketch below.
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Let us de ne that the direction of a magnetic eld, at any point in the eld, is the direction in which the north pole of a small test compass would point if placed in the eld at that point. Thus, in Fig. 116A, the direction of the eld is from right to left, while in Fig. 116B the direction is from left to right. In these gures, note that the lines of magnetic force are drawn closer together near the bottom of the gures than at the top; this is simply the graphical way of showing that the strength of the magnetic eld is (in this case) greater in the region toward the bottom
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Inductance and Capacitance
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Fig. 116A
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Fig. 116B
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than near the top. (The same method was used in connection with the electric elds of Figs. 13 and 14 in 1.) In this section we ve considered the source of magnetic elds to be permanent magnets. More importantly, however, magnetic elds are also associated with electric currents, a phenomenon referred to as electromagnetism, which we introduce in the following section.
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Electromagnetism
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In the year 1820 the Danish physicist Oersted discovered the phenomenon of electromagnetism, that is, that A MAGNETIC FIELD EXISTS AROUND ANY CONDUCTOR CARRYING AN ELECTRIC CURRENT. Experimentation with a compass needle showed that the eld existed at all points along a conductor, in the form of concentric circles around the conductor, as illustrated in Fig. 117. The arrow alongside the i indicates the direction of the current ow in the conductor.
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Fig. 117
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In the gure, it should be understood that a similar plane can be drawn at every point along the conductor (we show just one such plane in the gure). The closer we get to the wire conductor, the stronger is the magnetic e ect. This fact is shown by drawing the lines of magnetic force closer together near the wire, and farther and farther apart as we move away from the wire, as shown in the gure.
CHAPTER 7 Inductance and Capacitance
In Fig. 117, the direction of the current i is given to be upward in the conductor, thus producing the magnetic eld as shown. If, however, in the gure, the direction of the current i were reversed, the direction of the magnetic eld would also be reversed; that is, the direction of the magnetic eld depends upon the direction of current ow. The direction of the magnetic eld can be found by using the right-hand rule, as follows. Grasp the conductor with the RIGHT HAND, with the thumb pointing in the direction of conventional current ow. The ngers then curl around the conductor in the direction of the magnetic eld produced by the current. Note that the relationships shown in Fig. 117 are drawn in accordance with the righthand rule. (Also note the compass alignment in the given eld.) It should be remembered that lines of magnetic force are imaginary lines that we draw to indicate the relative magnitude and direction of a magnetic eld. Even though such lines are imaginary, they are very useful to us in visualizing and describing magnetic elds. The lines are also spoken of as lines of magnetic FLUX. Regions where the magnetic force is strong are said to be regions having a high density of magnetic ux. Thus, in our discussion, the terms lines of magnetic force and lines of magnetic ux will be used interchangeably. The magnetic e ect produced by a current owing in a wire can be increased by forming the wire into a circular COIL, as illustrated in Fig. 118. Let us suppose the coil consists of N turns of wire, wound on a cardboard tube, with a and b denoting the length and diameter of the coil, as shown. Let a current of i amperes be owing in the coil, in the sense shown in the gure.
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