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A picture of an electric field is shown in Figure 21-2 Each of the lines used to represent the actual field in the space around a charge is called an electric field line The direction of the field at any point is the tangent drawn to a field line at that point The strength of the electric field is indicated by the spacing between the lines The field is strong where the lines are close together It is weaker where the lines are spaced farther apart Although only two-dimensional models can be shown here, remember that electric fields exist in three dimensions The direction of the force on a positive test charge near another positive charge is away from the other charge Thus, the field lines extend radially outward like the spokes of a wheel, as shown in Figure 21-2a Near a negative charge, the direction of the force on the positive test charge is a toward the negative charge, so the field lines point radially inward, as Metal dome shown in Figure 21-2b When B there are two or more charges, the field is the vector sum of the fields Belt resulting from the individual charges The field lines become Insulator curved and the pattern is more complex, as shown in Figure 21-2c Motor A Note that field lines always leave a positive charge and enter a negative Grounded charge, and that they never cross base each other

Figure 21-3 In the Van de Graaff generator (a), charge is transferred onto a moving belt at A, and from the belt to the metal dome at B An electric motor does the work needed to increase the electric potential energy When a person touches a Van de Graaff generator, the results can be dramatic (b)

Figure 21-4 Lines of force between unlike charges (a, c) and between like charges (b, d) describe the behavior of a positively charged object in a field The top figures are computer tracings of electric field lines

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Robert Van de Graaff devised the high-voltage electrostatic generator in the 1930s Van de Graaff s machine, shown in Figure 21-3a on the previous page, is a device that transfers large amounts of charge from one part of the machine to a metal terminal at the top of the device Charge is transferred onto a moving belt at the base of the generator, position A, and is transferred off the belt at the metal dome at the top, position B An electric motor does the work needed to increase the electric potential energy A person touching the terminal of a Van de Graaff machine is charged electrically The charges on the person s hairs repel each other, causing the hairs to follow the field lines, as shown in Figure 21-3b Another method of visualizing field lines is to use grass seed in an insulating liquid, such as mineral oil The electric forces cause a separation of charge in each long, thin grass seed The seeds then turn so that they line up along the direction of the electric field The seeds thus form a pattern of the electric field lines, as in Figure 21-4 Field lines do not really exist They are simply a means of providing a model of an electric field Electric fields, on the other hand, do exist Although they provide a method of calculating the force on a charged body, they do not explain why charged bodies exert forces on each other

The 20X2 has the same supply voltage range of the M2-class processors; it can run reliably with a supply voltage anywhere between 18V and 5V This impressive range opens new possibilities for battery-powered X2-class projects

11 Measuring Electric Fields Suppose you are asked to measure the electric field in space How do you detect the field at a point How do you determine the magnitude of the field How do you choose the magnitude of the test charge What do you do next 12 Field Strength and Direction A positive test charge of magnitude 240 10 8 C experiences a force of 150 10 3 N toward the east What is the electric field at the position of the test charge

13 Field Lines In Figure 21-4, can you tell which charges are positive and which are negative What would you add to complete the field lines 14 Field Versus Force How does the electric field, E, at the test charge differ from the force, F, on it 15 Critical Thinking Suppose the top charge in Figure 21-2c is a test charge measuring the field resulting from the two negative charges Is it small enough to produce an accurate measure Explain

Conversions of Classes (Reference Types)

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