Chapter16 - CHAPTER 16 Quick Quizzes 1(b The field exerts a...

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C HAPTER 16 Quick Quizzes 1. (b). The field exerts a force on the electron, causing it to accelerate in the direction opposite to that  of the field. In this process, electrical potential energy is converted into kinetic energy of the  electron. Note that the electron moves to a region of higher potential, but because the electron has  negative charge this corresponds to a decrease in the potential energy of the electron. 2. Either (a) or   (b), but not both. The absence of any electrical charges within a finite distance from  the point would produce an electric potential of zero at the point. Thus, (a) could be a true  statement. If electrical charges exist at finite distances from the point, then (b) must be true. Both  positive and negative charges must be present in the vicinity so their contributions to the electrical  potential at the observation point may cancel each other. 3. (a) and (b). Both the electric potential and the magnitude of the electric field decrease as the  distance from the charged particle increases. 4. (c). The battery moves negative charge from one plate and puts it on the other. The first plate is left  with excess positive charge whose magnitude equals that of the negative charge moved to the other  plate. 5. (a) C  decreases. (b) stays the same. (c) stays the same (d) increases. (e) The energy stored increases. Because the capacitor is removed from the battery, charges on the plates have nowhere to go. Thus,  the charge on the capacitor plates remains the same as the plates are pulled apart. Because  0 0 Q A E σ = = , the electric field is constant as the plates are separated. Because  V  =  Ed  and  does not change,  V  increases as  d  increases. Because the same charge is stored at a higher  potential difference, the capacitance has decreased. Because  2 Energy stored = 2 Q C  and  Q  stays  the same while  C  decreases, the energy stored increases.   The extra energy must have been  transferred from somewhere, so work was done. This is consistent with the fact that the plates  attract one another, so work must be done to pull them apart. 6. (a) increases. (b) Q  increases. (c) E  stays the same. (d) V  remains the same. (e) The energy stored increases. 31
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C H A P T E R   1 6 Problem Solutions 16.1 (a) The work done is  ( 29 cos cos W F s qE s θ θ = = , or ( 29 ( 29 ( 29 19 2 1.60 10  C 200  N C 2.00 10  m cos0 W - - =- ¡ = 19 6.40 10  J - (b) The change in the electrical potential energy is e PE W = - = 19 6.40 10  J - - (c) The change in the electrical potential is 19 -19 6.40 10  J 1.60 10  C e PE V q - - = = = 4.00 V - 16.2 (a) We follow the path from (0,0) to (20 cm,0) to (20 cm,50 cm). The work done on the charge 
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