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But hills and holes draw towards each other and cancel out, making space smooth again. The electric eld is di erent from gravity in another important way. It is much stronger, about 1036 times stronger. That s a 1 with 36 zeros after it, which is a really big number. Two grains of sand held close together have no noticeable gravitational attraction. If, however, the gravitational eld was as strong as the electrical eld, they would slam together with a force of over three tons. The electric eld is strong. A modest collection of electrons or protons, without their balancing partners, can create a huge electrical eld. When you rub a balloon with a piece of fur, you create a modest electric charge on the balloon. Yet the electric eld has enough strength to make your hairs stand on end from inches away. When a charged particle is accelerated it creates a magnetic eld, also known as a B- eld. Both the electric eld and the magnetic eld are vector elds. A vector eld has not only a strength but a direction. The electric eld around an electron, for example, pulls protons toward the electron and pushes other electrons away. The magnetic eld created by a moving charge curls around the direction of motion. It is perpendicular to the direction of motion, but its idea of perpendicular is to wrap itself around the wire (Fig. 4-1). Note that a proton moving in the same direction as an electron will create a magnetic eld of an opposite polarity. A magnetic eld that is changing in intensity generates an electric eld. A changing electric eld in turn generates a magnetic eld. In fact, the total amount of eld is constant, just rotating between magnetic and electric
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Fig. 4-1. Magnetic eld from electron motion.
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CHAPTER 4 Electricity
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forms. These two elds are so closely related that we talk about them as a single electromagnetic eld. When you accelerate a charged particle, a self-sustaining electromagnetic wave radiates out away from the motion. If you move the charged particle back and forth, you get a stream of these waves. Depending on how fast you move the charge, these waves could be radio waves, microwaves, and so forth. If you move a wire through a magnetic eld, or move a magnet past a wire, the moving magnetic eld accelerates the charged particles in the wire. Even if the magnetic eld is just getting stronger or weaker, it accelerates the electrons. This is how radios work. On one side, the transmitter is moving electrons to send electromagnetic waves out into space. Somewhere else, these waves cross the wire antenna of a receiver and make its electrons move. It is interesting to note that if you move the electrons in a wire to create a magnetic eld, and then stop moving the electrons, the eld goes away. While the eld is collapsing, it is actually in motion and tries to push the electrons back in the direction they came from. There is another piece to the electromagnetic puzzle, and this is the motion of the wire in relation to the magnetic eld. If you hold a wire steady and move the magnetic eld past the wire, the electrons are given a boost. This is how generators work. Looking at this from the other direction, if you move the wire s electrons in the presence of a magnetic eld, it generates a mechanical force between the electrons and the eld. This is how motors work. All three forces work at right angles to each other the magnetic eld vector B, the direction of the electrons moving in the wire I, and the force vector F pushing the wire. These are shown in Fig. 4-2. If you reverse any one of the vectors, one of the others must change to match. For example, keeping the B eld constant and reversing I will cause F to reverse.
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