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Homework #4

Homework #4 - mehta(snm425 Homework 4 erskine(58715 This...

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mehta (snm425) – Homework 4 – erskine – (58715) 1 This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A charge Q is spread uniformly along the circumference of a circle of radius R . A point charge q is placed at the center of this circle. What is the total force exerted on q as calculated by Coulomb’s law? 1. Use 2 π R for the distance. 2. Use 2 R for the distance. 3. None of these. 4. The result of the calculation is zero. 5. Use R for the distance. 002 10.0 points A solid nonconducting sphere of radius R has a charge Q uniformly distributed throughout its volume. A Gaussian surface of radius r with r < R is used to calculate the magnitude of the electric field E at a distance r from the center of the sphere. Which of the following equations results from a correct application of Gauss’s law for this situation? 1. E (4 π r 2 ) = Q ǫ 0 3 r 3 4 π R 2. E (4 π r 2 ) = Q ǫ 0 3. E (4 π R 2 ) = Q ǫ 0 4. E (4 π r 2 ) = Q ǫ 0 r 3 R 3 5. E (4 π r 2 ) = 0 003 10.0 points A cubic box of side a , oriented as shown, con- tains an unknown charge. The vertically di- rected electric field has a uniform magnitude E at the top surface and 2 E at the bottom surface. a E 2 E How much charge Q is inside the box? 1. Q encl = 0 2. Q encl = 2 ǫ 0 E a 2 3. Q encl = 3 E ǫ 0 a 2 4. Q encl = 2 E ǫ 0 a 2 5. Q encl = 1 2 ǫ 0 E a 2 6. Q encl = 3 ǫ 0 E a 2 7. Q encl = 6 ǫ 0 E a 2 8. Q encl = ǫ 0 E a 2 9. insufficient information 10. Q encl = E ǫ 0 a 2

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