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solution8_pdf - taherisefat (mt23852) hw 8 Opyrchal...

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Unformatted text preview: taherisefat (mt23852) hw 8 Opyrchal (121012) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 2) 10.0 points Consider the following circuit. 6 . 8 2 . 7 2 . 7 4 . 4 1 . 1 2 . 7 4 . 4 14 . 0 14 . 0 26V a) Find the equivalent resistance. Correct answer: 16 . 8825 . Explanation: R 1 R 4 R 7 R 3 R 6 R 9 R 8 R 5 R 2 V Let : R 1 = 6 . 8 , R 2 = 14 . 0 , R 3 = 4 . 4 , R 4 = 2 . 7 , R 5 = 14 . 0 , R 6 = 1 . 1 , R 7 = 2 . 7 , R 8 = 4 . 4 and R 9 = 2 . 7 . For resistors in series, R eq,s = R a + R b R 789 = R 7 + R 8 + R 9 = 2 . 7 + 4 . 4 + 2 . 7 = 9 . 8 . For resistors in parallel, 1 R eq,p = 1 R a + 1 R b R 5789 = parenleftbigg 1 R 5 + 1 R 789 parenrightbigg 1 = parenleftbigg 1 14 + 1 9 . 8 parenrightbigg 1 = 5 . 76471 , R 456789 = R 4 + R 5789 + R 6 = 2 . 7 + 5 . 76471 + 1 . 1 = 9 . 56471 , R 2456789 = parenleftbigg 1 R 2 + 1 R 456789 parenrightbigg 1 = parenleftbigg 1 14 + 1 9 . 56471 parenrightbigg 1 = 5 . 68248 , and R eq = R 1 + R 2456789 + R 3 = 6 . 8 + 5 . 68248 + 4 . 4 = 16 . 8825 . 002 (part 2 of 2) 10.0 points b) Find the current in the 6 . 8 resistor. Correct answer: 1 . 54006 A. Explanation: Let : V = 26 V V = IR = I 1 = I I 1 = V R eq = 26 V 16 . 8825 = 1 . 54006 A . 003 (part 1 of 3) 10.0 points A circuit contains six 220 lamps and a 10 heater connected in parallel. The voltage across the circuit is 137 V. What is the current in the circuit when four lamps are turned on? Correct answer: 2 . 49091 A. Explanation: taherisefat (mt23852) hw 8 Opyrchal (121012) 2 Let : R l = 220 , R h = 10 , and V = 137 V . For the parallel circuit, the voltage is the same across each branch and the currents add up. Thus each branch receives V volts so that the current for each lamp is I l = V R 1 . With 4 lamps in the circuit, I = 4 I l = 4 V R l = 4 (137 V) 220 = 2 . 49091 A . 004 (part 2 of 3) 10.0 points What is the current when all lamps are on?...
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This note was uploaded on 01/31/2011 for the course PHYS 111 taught by Professor Moro during the Spring '08 term at NJIT.

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solution8_pdf - taherisefat (mt23852) hw 8 Opyrchal...

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