hw 06 - nguyen (jmn727) homework 06 Turner (59070) This...

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nguyen (jmn727) – homework 06 – Turner – (59070) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points A 114 cm diameter loop is rotated in a uniForm electric feld until the position oF maximum electric ±ux is Found. The ±ux in this position is measured to be 6 . 12 × 10 5 N · m 2 / C. What is the electric feld strength? Correct answer: 5 . 99587 × 10 5 N / C. Explanation: Let : r = 57 cm = 0 . 57 m and Φ = 6 . 12 × 10 5 N · m 2 / C . By Gauss’ law, Φ = c v E · d v A The position oF maximum electric ±ux will be that position in which the plane oF the loop is perpendicular to the electric feld; i.e. , when v E · d v A = E dA . Since the feld is constant, Φ = E A = Eπ r 2 E = Φ π r 2 = 6 . 12 × 10 5 N · m 2 / C π (0 . 57 m) 2 = 5 . 99587 × 10 5 N / C . 002 10.0 points A (7 m by 7 m) square base pyramid with height oF 4 . 45 m is placed in a vertical electric feld oF 55 . 1 N / C. b 7 m 4 . 45 m 55 . 1 N / C Calculate the total electric ±ux which goes out through the pyramid’s Four slanted sur- Faces. Correct answer: 2699 . 9 N m 2 / C. Explanation: Let : s = 7 m , h = 4 . 45 m , and E = 55 . 1 N / C . By Gauss’ law, Φ = v E · v A Since there is no charge contained in the pyra- mid, the net ±ux through the pyramid must be 0 N/C. Since the feld is vertical, the ±ux through the base oF the pyramid is equal and opposite to the ±ux through the Four sides. Thus we calculate the ±ux through the base oF the pyramid, which is Φ = E A = E s 2 = (55 . 1 N / C) (7 m) 2 = 2699 . 9 N m 2 / C . 003 10.0 points A spherical shell oF radius 4 . 3 m is placed in a uniForm electric feld with magnitude 3570 N / C. Determine the total electric ±ux through the shell. Correct answer: 0 N · m 2 / C. Explanation: Let : r = 4 . 3 m and E = 3570 N / C . The uniForm feld enters the shell on one side and exits on the other, so the total ±ux is zero: Φ = c v E · d v A = 0 .
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This note was uploaded on 01/21/2010 for the course PHY 303L taught by Professor Turner during the Spring '08 term at University of Texas at Austin.

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hw 06 - nguyen (jmn727) homework 06 Turner (59070) This...

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