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Physics for Scientists and Engineers, 6e Chapter 23 – Electric Fields If you rub an inflated balloon against your hair, the two materials attract each other, as shown in this figure. Fill in the blank: the amount of charge present in the system of the balloon and your hair after rubbing is _____ the amount of charge present before rubbing. 1 1. less than 2. the same as 3. more than 2 3 4 5 33% 1 33% 2 33% 3 The amount of charge present in the isolated system after rubbing is the same as that before because charge is conserved; it is just distributed differently. Three objects are brought close to each other, two at a time. When objects A and B are brought together, they attract. When objects B and C are brought together, they repel. From this, we conclude that: 1. 1 objects A and C possess charges of the same sign. 2. objects A and C possess charges of opposite sign. 3. all three of the objects possess charges of the same sign. 4. one of the objects is neutral. 5. we need to perform additional experiments to determine information about the charges on the objects. 2 3 4 5 20% 20% 20% 20% 20% 1 2 3 4 5 In the first experiment, objects A and B may have charges with opposite signs, or one of the objects may be neutral. The second experiment shows that B and C have charges with the same signs, so that B must be charged. But we still do not know if A is charged or neutral. Object A has a charge of +2 μC, and object B has a charge of +6 μC. Which statement is true about the electric forces on the objects? 1 1. FAB = –3FBA 2. FAB = –FBA 3. 3FAB = –FBA 4. FAB = 3FBA 5. FAB = FBA 6. 3FAB = FBA 2 3 4 5 17% 17% 17% 17% 17% 17% 1 2 3 4 5 6 From Newton's third law, the electric force exerted by object B on object A is equal in magnitude to the force exerted by object A on object B. Object A has a charge of +2 μC, and object B has a charge of +6 μC. Which statement is true about the electric forces on the objects? 1 1. FAB = –3FBA 2. FAB = –FBA 3. 3FAB = –FBA 4. FAB = 3FBA 5. FAB = FBA 6. 3FAB = FBA 2 3 4 5 17% 17% 17% 17% 17% 17% 1 2 3 4 5 6 From Newton's third law, the electric force exerted by object B on object A is equal in magnitude to the force exerted by object A on object B and in the opposite direction. A test charge of +3 μC is at a point P where an external electric field is directed to the right and has a magnitude of 4 × 106 N/C. If the test charge is replaced with another test charge of –3 μC, the external electric field at P 1. 1 is unaffected 2. reverses direction 3. changes in a way that cannot be determined 2 3 4 5 33% 1 33% 2 33% 3 There is no effect on the electric field if we assume that the source charge producing the field is not disturbed by our actions. Remember that the electric field is created by source charge(s) (unseen in this case), not the test charge(s). Rank the magnitude of the electric field at points A, B, and C shown in this figure (greatest magnitude first). 1 1. A, B, C 2. A, C, B 3. B, C, A 4. B, A, C 5. C, A, B 2 3 4 5 20% 20% 20% 20% 20% 1 2 3 4 5 The field is greatest at point A because this is where the field lines are closest together. The absence of lines near point C indicates that the electric field there is zero. Which of the following statements about electric field lines associated with electric charges is false? 1. 1 Electric field lines can be either straight or curved. 2. Electric field lines can form closed loops. 3. Electric field lines begin on positive charges and end on negative charges. 4. Electric field lines can never intersect with one another. 2 3 4 5 25% 25% 25% 25% 1 2 3 4 Electric field lines begin and end on charges and cannot close on themselves to form loops.