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Physics for Scientists and Engineers 8ed - ch24 - end of chapter questions

# Physics for Scientists and Engineers 8ed - ch24 - end of chapter questions

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Questions W denotes answer available in Student Solutions Manual/Study Guide; O denotes objective question 1. The Sun is lower in the sky during the winter than it is during the summer. How does this change affect the flux of sunlight hitting a given area on the surface of the Earth? How does this change affect the weather? 2. If more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface? 3. A uniform electric field exists in a region of space containing no charges. What can you conclude about the net electric flux through a gaussian surface placed in this region of space? 4. O A particle with charge q is located inside a cubical gaussian surface. No other charges are nearby. (i) If the particle is at the center of the cube, what is the flux through each one of the faces of the cube? (a) 0 (b) q / ε 0 (c) q /2 ε 0 (d) q /4 ε 0 (e) q /6 ε 0 (f) q /8 ε 0 (g) depends on the size of the cube (ii) If the particle can be moved to any point within the cube, what maximum value can the flux through one face approach? Choose from the same possibilities. (iii) If the particle can be moved anywhere within the cube or on its surface, what is the minimum possible flux through one face? Choose from the same possibilities. 5. O A cubical gaussian surface surrounds a long, straight, charged filament that passes perpendicularly through two opposite faces. No other charges are nearby. (i) Over how many of the cube’s faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii)  Through how many of the cube’s faces is the electric flux zero? Choose from the same possibilities. 6. O A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom faces. No other charges are nearby. (i) Over how many of the cube’s faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii) Through how many of the cube’s faces is the electric flux zero? Choose from the same possibilities. 7. O Two solid spheres, both of radius 5 cm, carry identical total charges of 2 μ C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) E A > E B = 0 (b) E A > E B > 0 (c) E A = E B > 0 (d) E A = E B = 0 (e) 0 < E A < E B = 0 (f) 0 = E A < E B (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities. 8. If the total charge inside a closed surface is known but the distribution of the charge is unspecified, can you use Gauss’s law to find the electric field? Explain. 9. Explain why the electric flux through a closed surface with a given enclosed charge is independent of the size or shape of the surface.

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