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lectric force, like gravitational force, which you studied in 8, varies inversely as the square of the distance between two point objects Both forces can act from great distances How can a force be exerted across what seems to be empty space Michael Faraday suggested that because an electrically charged object, A, creates a force on another charged object, B, anywhere in space, object A must somehow change the properties of space Object B somehow senses the change in space and experiences a force due to the properties of the space at its location We call the changed property of space an electric field An electric field means that the interaction is not between two distant objects, but between an object and the field at its location The forces exerted by electric fields can do work, transferring energy from the field to another charged object This energy is something you use on a daily basis, whether you plug an appliance into an electric outlet or use a battery-powered, portable device In this chapter, you will learn more about electric fields, forces, and electric energy

6

Define an electric field Solve problems relating to charge, electric fields, and forces Diagram electric field lines

How can you measure an electric field Place a small charged object at some location If there is an electric force on it, then there is an electric field at that point The charge on the object that is used to test the field, called the test charge, must be small enough that it doesn t affect other charges Consider Figure 21-1, which illustrates a charged object with a charge of q Suppose you place the positive test charge at some point, A, and measure a force, F According to Coulomb s law, the force is directly proportional to the strength of the test charge, q That is, if the charge is doubled, so is the force Therefore, the ratio of the force to the charge is a constant If you divide the force, F, by the test charge, q , you obtain a vector quantity, F/q This quantity does not depend on the test charge, only on the force, F, and the location of point A The electric field at point A, the location of q , is represented by the following equation Electric Field Strengh E

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The strength of an electric field is equal to the force on a positive test charge divided by the strength of the test charge

Figure 21-1 Arrows can be used to represent the magnitude and direction of the electric field about an electric charge at various locations

The direction of an electric field is the direction of the force on a positive test charge The magnitude of the electric field strength is measured in newtons per coulomb, N/C A picture of an electric field can be made by using arrows to represent the field vectors at various locations, as shown in Figure 21-1 The length of the arrow is used to show the strength of the field The direction of the arrow shows the field direction To find the field from two charges, the fields from the individual charges are added vectorially A test charge can be used to map out the field resulting from any collection of charges Typical electric field strengths produced by charge collections are shown in Table 21-1 An electric field should be measured only by a very small test charge This is because the test charge also exerts a force on q It is important that the force exerted by the test charge does not cause charge to be redistributed on a conductor, thereby causing q to move to another location and thus, changing the force on q as well as the electric field strength being measured A test charge always should be small enough so that its effect on q is negligible

Table 21-1

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Approximate Values of Typical Electric Fields Field Near a charged, hard-rubber rod In a television picture tube Needed to create a spark in air At an electron s orbit in a hydrogen atom Value (N/C) 1 103 1 105 3 106 5 1011