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The plates of a capacitor attract each other because they carry opposite charges A capacitor consisting of two parallel plates that are separated by a distance, d, has capacitance, C 1 Derive an expression for the force between the two plates when the capacitor has charge, q 2 What charge must be stored on a 22- F capacitor to have a force of 20 N between

Varieties of capacitors Capacitors have many shapes and sizes, as shown in Figure 21-14 Some are large enough to fill whole rooms and can store enough charge to create artificial lightning or power giant lasers that release thousands of joules of energy in a few billionths of a second Capacitors in television sets can store enough charge at several hundred volts to be very dangerous if they are touched These capacitors can remain charged for hours after the televisions have been turned off This is why you should not open the case of a television or a computer monitor even if it is unplugged The capacitance of a capacitor is controlled by varying the surface area of the two conductors, or plates, within a capacitor, by the distance between the plates, and by the nature of the insulating material Capacitors are named for the type of insulator, or dielectric, used to separate the plates, and include ceramic, mica, polyester, paper, and air Higher capacitance is obtained by increasing the surface area and decreasing the separation of the plates Certain dielectrics have the ability to effectively offset some of the charge on the plates and allow more charge to be stored

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35 Potential Difference What is the difference between electric potential energy and electric potential difference 36 Electric Field and Potential Difference Show that a volt per meter is the same as a newton per coulomb 37 Millikan Experiment When the charge on an oil drop suspended in a Millikan apparatus is changed, the drop begins to fall How should the potential difference on the plates be changed to bring the drop back into balance 38 Charge and Potential Difference In problem 37, if changing the potential difference has no effect on the falling drop, what does this tell you about the new charge on the drop

The GetLength() member of an array will return the length of that dimension. This example produces the following output: matrix[0, matrix[0, matrix[1, matrix[1, matrix[2, matrix[2, matrix[3, matrix[3, matrix[4, matrix[4, 0] 1] 0] 1] 0] 1] 0] 1] 0] 1] = = = = = = = = = = 1 1 2 2 3 5 4 5 134 44

39 Capacitance How much charge is stored on a 047- F capacitor when a potential difference of 12 V is applied to it 40 Charge Sharing If a large, positively charged, conducting sphere is touched by a small, negatively charged, conducting sphere, what can be said about the following a the potentials of the two spheres b the charges on the two spheres 41 Critical Thinking Referring back to Figure 21-3a, explain how charge continues to build up on the metal dome of a Van de Graaff generator In particular, why isn t charge repelled back onto the belt at point B

A capacitor is an electric device that is made from two conductors, or plates, that are separated by an insulator It is designed to have a specific capacitance The capacitance depends on the physical characteristics and geometric arrangement of the conductors and the insulator In the circuit schematic, the capacitor appears to create an open circuit, even when the switch is in the closed position However, because capacitors store charge, when the switch is closed, charge from the battery will move to the capacitor The equal, but opposite charges on the two plates within the capacitor establishes a potential difference, or voltage As charge is added to the capacitor, the electric potential difference increases In this laboratory activity you will examine the charging of several different capacitors

Torque is a measure of how effectively a force causes rotation The magnitude of torque is the product of the force and the lever arm Because force is measured in newtons, and distance is measured in meters, torque is measured in newton-meters (N m) Torque is represented by the Greek letter tau, The equation for torque is shown below Torque

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