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7 A pith ball weighing 30 10 2 N carries a charge of 10 10 6 C The pith ball is placed between two large, parallel, metal plates, that are separated by 0050 m What is the potential difference, V, that must be applied in order to suspend the pith ball between the plates

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8 The electric field strength, defined as a force per unit charge, has the units newtons per coulomb, N/C The formula for electric potential difference, V Ed, however, suggests that E also can be expressed as volts per meter, V/m a By analysis of the units, show that these two expressions for the units of electric field strength are equivalent b Suggest a reason why V/m is often a more useful way to express electric field strength 9 Suppose you have two parallel, metal plates that have an electric field between them of strength 30 104 N/C, and are 0050 m apart Consider a point, P, located 0030 m from plate A, the negatively charged plate, when answering the following questions a What is the electric potential at P relative to plate A b What is the electric potential at P relative to plate B, the positively charged plate 10 A certain 15-V size-AA battery has a storage capacity of 2500 C How much work can this battery perform 11 In a vacuum tube, electrons accelerate from the cathode element to the plate element, which is maintained at a positive potential with respect to the cathode If the plate voltage is 240 V, how much kinetic energy has an electron acquired when it reaches the plate 12 An oil drop with five excess electrons is suspended in an electric field of 20 103 N/C What is the mass of the oil drop 13 An oil drop weighing 75 10 15 N carries three excess electrons a What potential difference is required to suspend the drop between parallel plates separated by 23 cm b If the oil drop picks up another electron, by how much must the potential difference between the plates be reduced to maintain the oil drop in suspension

14 A charge of 200 10 6 C is moved against a constant electric field If 450 10 4 J of work is done on the charge, what is the potential difference between the initial and the final locations of the charge 15 Capacitors C1 220 F and C2 470 F are connected across a 480-V electric potential difference a What are the charges, q1 and q2, on each of the capacitors b What is the total charge, qT, on both capacitors c Repeat steps a and b for a new potential difference, v 960 V d Now consider the two capacitors as a system What would be a single equivalent capacitor, Ceq, that could replace C1 and C2, and be capable of yielding the same results e Based on your responses to the above, make a conjecture concerning the equivalent capacitance of a system of capacitors all of which are connected across the same potential difference 16 A new 900-V battery with a storage capacity of 25 104 C charges a 6800- F capacitor with the switch in position A Then the switch is thrown to position B to discharge the capacitor a How many times can this cycle be repeated before the battery is completely discharged b If the capacitor discharge occurs in 120 ms, what is the average power dissipated in the discharge circuit during one cycle

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