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Force depends on charge To investigate the way in which the force depended on the amount of charge, Coulomb had to change the charges on the spheres in a measured way He first charged spheres A and B equally, as before Then he selected an uncharged sphere, C, of the same size as sphere B When C was placed in contact with B, the spheres shared the charge that had been on B alone Because the two were the same size, B then had only half of its original charge Therefore, the charge on B was only one-half the charge on A After Coulomb adjusted the position of B so that the distance, r, between A and B was the same as before, he found that the force between A and B was half of its former value That is, he found that the force varied directly with the charge of the bodies F qAqB



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Use a balloon and an electroscope to investigate charging by induction and charging by conduction 1 Predict what will happen if you charge a balloon by rubbing it with wool and bring it near a neutral electroscope 2 Predict what will happen if you touch the balloon to the electroscope 3 Test your predictions Analyze and Conclude 4 Describe your results 5 Explain the movements of the leaves in each step of the experiment Include diagrams 6 Describe the results if the wool had been used to charge the electroscope





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Answer (for Objective 74): A, B, and C are correct because Fragments I-III are legal signatures to override finalize() is incorrect because the access privilege is weaker E is incorrect because finalize() D copies a reference of the object to the static variable bd F is incorrect For a given object, the JVM will never call finalize() again, but it might still GC it

After many similar measurements, Coulomb summarized the results in a law now known as Coulomb s law: the magnitude of the force between charge qA and charge qB, separated by a distance r, is proportional to the magnitude of the charges and inversely proportional to the square of the distance between them F

The unit of charge: the coulomb The amount of charge that an object has is difficult to measure directly Coulomb s experiments, however, showed that the quantity of charge could be related to force Thus, Coulomb could define a standard quantity of charge in terms of the amount of force that it produces The SI standard unit of charge is called the coulomb (C)

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One coulomb is the charge of 624 1018 electrons or protons A typical lightning bolt can carry 5 C to 25 C of charge The charge on a single electron is 160 10 19 C The magnitude of the charge of an electron is called the elementary charge Even small pieces of matter, such as coins, contain up to 106 C of negative charge This enormous amount of negative charge produces almost no external effects because it is balanced by an equal amount of positive charge If the charge is unbalanced, even as small a charge as 10 9 C can result in large forces According to Coulomb s law, the magnitude of the force on charge qA caused by charge qB a distance r away can be written as follows

A perfect beam antenna will have only the main lobe, but that situation occurs only in dreams All real antennas have both sidelobes and backlobes, also shown in Fig 12-2 These lobes represent wasted power transmitted in the wrong direction during transmission and interference opportunities while receiving The goal of the antenna designer is to increase the main lobe while decreasing the sidelobes and backlobes Figure 12-3 shows, schematically, the basic Yagi-Uda antenna (usually called simply Yagi) The driven element is a simple half-wavelength dipole fed in the center There are two additional elements: reflectors and directors These are called parasitic elements because they are not directly excited by RF, but rather,

qAqB r2 The force between two charges is equal to Coulomb s constant, times the product of the two charges, divided by the square of the distance between them

14 Given:

Figure 20-1 The rule for 1 determining the direction of force is: like charges repel; unlike charges attract

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