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Unformatted text preview: tovar (jdt436) – homework 19 – Turner – (59070) 1 This printout should have 9 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points After a 6 . 26 Ω resistor is connected across a battery with a 0 . 19 Ω internal resistance, the electric potential between the physical battery terminals is 6 V. What is the rated emf of the battery? Correct answer: 6 . 18211 V. Explanation: Let : R = 6 . 26 Ω , r = 0 . 19 Ω , and V = 6 V . The current drawn by the external resistor is given by I = V R = 6 V 6 . 26 Ω = 0 . 958466 A . The output voltage is reduced by the inter nal resistance of the battery by V = E − I r , so the electromotive force is E = V + I r = 6 V + (0 . 958466 A) (0 . 19 Ω) = 6 . 18211 V . 002 10.0 points A certain coffeepot draws 4 A of current when it is operated on 120 V household lines. If electrical energy costs 10 cents per kilowatthour, how much does it cost to oper ate the coffeepot for 2 hours? 1. cost = 8.0 cents 2. cost = 9.6 cents correct 3. cost = 2.4 cents 4. cost = 16 cents 5. cost = 4.8 cents Explanation: Let : I = 4 A , V = 120 V , r = $0 . 1 / kWh , and t = 2 h . The power that the coffeepot consumes is P = I V , so the cost to operate the coffeepot for 2 hours is C = I V t r = (4 A) (120 V) (2 h) ($0 . 1 / kWh) × parenleftbigg 1 kW 1000 W parenrightbigg = 9.6 cents . 003 10.0 points Four identical light bulbs are connected ei ther in series (circuit A), or in a parallelseries combination (circuit B), to a constant voltage battery with negligible internal resistance, as shown. E Circuit A E Circuit B tovar (jdt436) – homework 19 – Turner – (59070) 2 Assuming the battery has no internal re sistance and the resistance of the bulbs is temperature independent, what is the ratio of the total power consumed by circuit A to that consumed by circuit B; i.e. , parenleftbigg P A,Total P B,Total parenrightbigg ? 1. P A P B = 16 2. P A P B = 4 3. P A P B = 2 4. P A P B = 1 4 correct 5. P A P B = 8 6. P A P B = 1 2 7. P A P B = 1 8. P A P B = 1 16 9....
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 Spring '08
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