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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

CHAPTER 3: Lights, Camera Actions! (and Outlets, Too)

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1 A decorative lightbulb rated at 750 W draws 600 mA when lit What is the voltage drop across the bulb 2 A 12-V nickel-cadmium battery has a rated storage capacity of 40 103 mAh (milliamp-hours) a What is the battery charge capacity in coulombs Hint: 1 C 1 A s b How long can this battery supply a current of 125 mA 3 A heating element of an electric furnace consumes 50 103 W when connected across a 240-V source What current flows through the element 4 The cold filament resistance of a lightbulb is 200 The bulb consumes 75 W when it is operating from a 120-V source By what factor does the start-up current in the bulb exceed the operating current 5 In the circuit shown below, a potentiometer is used to vary the current to the lamp If the only resistance is due to the lamp, what is the current in the circuit

17 A 068- F capacitor carries a charge on one plate of 136 10 5 C What is the potential difference across the leads of this capacitor

6 An electric toaster consumes 1875 W in operation If it is plugged into a 125-V source, what is its resistance 7 Draw a circuit diagram to include a 900-V battery, a 220- resistor, and a 680resistor in series Show the direction of conventional current 8 Modify the diagram of the previous problem to include an ammeter and a voltmeter to measure the voltage drop across the 680- resistor 9 If the total resistance in the circuit in problem 8 is 90 102 , what would the ammeter and the voltmeter indicate

10 An electric motor with a load delivers 52 hp to its shaft (1 hp 746 W) Under these conditions, it operates at 828 percent efficiency (Efficiency is defined as the ratio of power output to power input) a How much current does the motor draw from a 240-V source b What happens to the remaining 172 percent of the input power 11 An industrial heating process uses a current of 380 A supplied at 440-V potential a What is the effective resistance of the heating element b How much energy is used by this process during an 8-h shift 12 An 80- electric heater operates from a 120-V source a How much current does the heater require b How much time does the heater need to generate 20 104 J of thermal energy 13 A manufacturer of lightbulbs advertises that its 55-W bulb, which produces 8000 lm of light output, provides almost the same light as a 600-W bulb with an energy savings The 600-W bulb produces 8400 lm a Which bulb most efficiently converts electric energy to light b Assume a bulb has a lifetime of 10 103 h and an electric energy cost of $012/kWh How much less does the 55-W bulb cost to operate over its lifetime c Is most of the cost savings due to higher bulb efficiency, or due to the consumer s willingness to accept lower light output 14 By what factor would the I2R loss in transmission wires be reduced if the transmission voltage were boosted from 220 V to 22 kV Assume that the rate of energy delivered is unchanged 15 The electric-utility invoice for a household shows a usage of 1245 kWh during a certain 30-day period What is the average power consumption during this period

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