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6 Solution Set 6 on chapter 18

6 Solution Set 6 on chapter 18 - 1 On Chapter 18 Electric...

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On Chapter 18 Electric Forces and Electric Fields Focus on Concepts pp. 563: # 5, 8, 20 Problems pp. 564: # 6, 20, 25, 27, 42, 44, 53, 60, 62, 75 Focus on Concepts pp. 563: # 5, 8, 20 5. (c) This distribution is not possible because of the law of conservation of electric charge. The total charge on the three objects here is 9 8 q , whereas only q was present initially. 8. (e) Coulomb’s law states that the magnitude of the force is given by 1 2 2 q q F k r = . The force is directed along the line between the charges and is an attraction for unlike charges and a repulsion for like charges. Charge B is attracted by charge A with a force of magnitude 2 q q k d and repelled by charge C with a force of the same magnitude. Since both forces point to the left, the net force acting on B has a magnitude of 2 2 q q k d . Charge A is attracted by charge B with a force of 2 q q k d and also by charge C with a force of ( 29 2 2 q q k d . Since both forces point to the right, the net force acting on A has a magnitude of ( 29 2 1.25 q q k d . Charge C is pushed to the right by B with a force of 2 q q k d and pulled to the left by A with a force of ( 29 2 2 q q k d . Since these two forces have different directions, the net force acting on C has a magnitude of ( 29 2 0.75 q q k d . 20. 0.45 N·m 2 /C 1

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Problems pp. 564: # 6, 20, 25, 27, 42, 44, 53, 60, 62, 75 6. REASONING The conservation of electric charge states that, during any process, the net electric charge of an isolated system remains constant (is conserved). Therefore, the net charge ( q 1 + q 2 ) on the two spheres before they touch is the same as the net charge after they touch. When the two identical metal spheres touch, the net charge will spread out equally over both of them. When the spheres are separated, the charge on each is the same. 20. REASONING The drawing at the right shows the forces that act on the charges at each corner. For example, F AB is the force exerted on the charge at corner A by the charge at corner B. The directions of the forces are consistent with the fact that like charges repel and unlike charges attract. Coulomb’s law indicates that all of the forces shown have the same magnitude, namely, 2 2 / F k q L = , where q is the magnitude of each of the charges and L is the length of each side of the equilateral triangle. The magnitude is the same for each force, because q and L are the same for each pair of charges. The net force acting at each corner is the sum of the two force vectors shown in the drawing, and the net force is greatest at corner A. This is because the angle between the two vectors at A is 60º. With the angle less than 90º, the two vectors partially reinforce one another. In - + A B C F AB F BA F CB F BC F CA F AC 2
comparison, the angles between the vectors at corners B and C are both 120º, which means that the vectors at those corners partially offset one another.

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6 Solution Set 6 on chapter 18 - 1 On Chapter 18 Electric...

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