Homework_03 - Nguyen, Thanh – Homework 3 – Due: Jan 29...

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Unformatted text preview: Nguyen, Thanh – Homework 3 – Due: Jan 29 2008, 7:00 pm – Inst: Weathers 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 4) 10 points A uniformly charged ring of radius 13 . 6 cm has a total charge of 78 μ C. The value of the Coulomb constant is 8 . 98755 × 10 9 N · m 2 / C 2 . Find the magnitude of the electric field on the axis of the ring at 1 . 41 cm from the center of the ring. Correct answer: 3 . 86699 × 10 6 N / C. Explanation: Let : a = 13 . 6 cm = 0 . 136 m , Q = 78 μ C = 7 . 8 × 10- 5 C , k e = 8 . 98755 × 10 9 N · m 2 / C 2 , and x = 1 . 41 cm = 0 . 0141 m . The electric field is E = k e xQ ( x 2 + a 2 ) 3 / 2 = (8 . 98755 × 10 9 N · m 2 / C 2 )(0 . 0141 m) (0 . 0141 m 2 + 0 . 136 m 2 ) 3 / 2 × (7 . 8 × 10- 5 C) = 3 . 86699 × 10 6 N / C . 002 (part 2 of 4) 0 points Find the magnitude of the electric field on the axis of the ring at 6 . 78 cm from the center of the ring. Correct answer: 1 . 35441 × 10 7 N / C. Explanation: Let : x = 6 . 78 cm = 0 . 0678 m . E = (8 . 98755 × 10 9 N · m 2 / C 2 )(0 . 0678 m) (0 . 0678 m 2 + 0 . 136 m 2 ) 3 / 2 × (7 . 8 × 10- 5 C) = 1 . 35441 × 10 7 N / C . 003 (part 3 of 4) 0 points Find the magnitude of the electric field on the axis of the ring at 22 cm from the center of the ring. Correct answer: 8 . 91371 × 10 6 N / C. Explanation: Given : x = 22 cm = 0 . 22 m . E = (8 . 98755 × 10 9 N · m 2 / C 2 )(0 . 22 m) (0 . 22 m 2 + 0 . 136 m 2 ) 3 / 2 × (7 . 8 × 10- 5 C) = 8 . 91371 × 10 6 N / C . 004 (part 4 of 4) 10 points Find the magnitude of the electric field on the axis of the ring at 42 . 4424 cm from the center of the ring. Correct answer: 3 . 36096 × 10 6 N / C. Explanation: Let : x = 42 . 4424 cm . E = (8 . 98755 × 10 9 N · m 2 / C 2 )(0 . 424424 m) (0 . 424424 m 2 + 0 . 136 m 2 ) 3 / 2 × (7 . 8 × 10- 5 C) = 3 . 36096 × 10 6 N / C ....
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This note was uploaded on 10/24/2011 for the course PHYS 2220 taught by Professor Littler during the Spring '00 term at North Texas.

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Homework_03 - Nguyen, Thanh – Homework 3 – Due: Jan 29...

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