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Charging by conduction When a negatively charged rod is touched to the knob of an electroscope, electrons are added to the knob These charges spread over all the metal surfaces As shown in Figure 20-7a, the two leaves are charged negatively and repel each other; therefore, they spread apart The electroscope has been given a net charge Charging a neutral body by touching it with a charged body is called charging by conduction The leaves also will spread apart if the electroscope is charged positively How, then, can you find out whether the electroscope is charged positively or negatively The type of charge can be determined by observing the leaves when a rod of known charge is brought close to the knob The leaves will spread farther apart if the rod and the electroscope have the same charge, as shown in Figure 20-7b The leaves will fall slightly if the electroscope s charge is opposite that of the rod, as in Figure 20-7c Separation of charge on neutral objects Earlier in this chapter, when you brought your finger near either charged strip of tape, the tape was attracted to your finger Your finger, however, was neutral it had equal amounts of positive and negative charge You know that in conductors, charges can move easily, and that in the case of sparks, electric forces can change insulators into conductors Given this information, you can develop a plausible model for the force that your finger exerted on the strips of tape Suppose you move your finger, or any uncharged object, close to a positively charged object The negative charges in your finger will be attracted to the positively charged object, and the positive charges in your finger will be repelled Your finger will remain neutral, but the positive and negative charges will be separated The electric force is stronger for charges that are closer together; therefore, the separation results in an attractive force between your finger and the charged object The force that a charged ruler exerts on neutral pieces of paper is the result of the same process, the separation of charges The negative charges at the bottom of thunderclouds also can cause charge separation in Earth Positive charges in the ground are attracted to Earth s surface under the cloud The forces of the charges in the cloud and those on Earth s surface can break molecules into positively and negatively charged particles These charged particles are free to move, and they establish a conducting path from the ground to the cloud The lightning that you observe occurs when a bolt travels at speeds on the order of 500,000 km/h along the conducting path and discharges the cloud.

Figure 20-6 An electroscope is a device used for detecting charges In a neutral electroscope, the leaves hang loosely, almost touching one another

Relational operators compare two values, and logical operators perform bitwise operations on values.

Figure 20-7 A negatively charged electroscope will have its leaves spread apart (a) A negatively charged rod pushes electrons down to the leaves, causing them to spread farther apart (b) A positively charged rod attracts some of the electrons, causing the leaves to spread apart less (c)

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Figure 6-6

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5. In unsafe mode, pointers increment and decrement by the size of the pointed-to object. 6. In other words, there are predefined increment and decrement functions for the types smaller than int and uint.

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Figure 20-8 One method of charging by induction begins with neutral spheres that are touching (a) A charged rod is brought near them (b), then the spheres are separated and the charged rod is removed (c) The charges on the separated spheres are equal in magnitude, but opposite in sign

Figure 20-9 A negatively charged rod induces a separation of charges in an electroscope (a) The electroscope is grounded, and negative charges are pushed from the electroscope to the ground (b) The ground is removed before the rod, and the electroscope is left with a positive charge (c)

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C# defines the relational operations shown in Table 14-2.

Charging by induction Suppose that two identical, insulated metal spheres are touching, as shown in Figure 20-8a When a negatively charged rod is brought close to one, as in Figure 20-8b, electrons from the first sphere will be forced onto the sphere farther from the rod and will make it negatively charged The closer sphere is now positively charged If the spheres are separated while the rod is nearby, each sphere will have a charge, and the charges will be equal but opposite, as shown in Figure 20-8c This process of charging an object without touching it is called charging by induction A single object can be charged by induction through grounding, which is the process of connecting a body to Earth to eliminate excess charge Earth is a very large sphere, and it can absorb great amounts of charge without becoming noticeably charged itself If a charged body is touched to Earth, almost any amount of charge can flow to Earth If a negatively charged rod is brought close to the knob of an electroscope, as in Figure 20-9a, electrons are repelled onto the leaves If the knob is then grounded on the side opposite the charged rod, electrons will be pushed from the electroscope into the ground until the leaves are neutral, as in Figure 20-9b Removing the ground before the rod leaves the electroscope with a deficit of electrons, and it will be positively charged, as in Figure 20-9c Grounding also can be used as a source of electrons If a positive rod is brought near the knob of a grounded electroscope, electrons will be attracted from the ground, and the electroscope will obtain a negative charge When this process is employed, the charge induced on the electroscope is opposite that of the object used to charge it Because the rod never touches the electroscope, its charge is not transferred, and it can be used many times to charge objects by induction.

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Returns true if a is equal to b Returns true if a is not equal to b Returns true if a is less than b Returns true if a is less than or equal to b Returns true if a is greater than b Returns true if a is greater than or equal to b

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