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Physics 215 – Fall 2006 Name: ______________________ Homework Journal #5: Electric Flux & Applications of Gauss’s Law Instructor: ___________________ Section: Date Due: T12 / M13 M1 M2 M3 M4 M5 M6 T1 T2 T3 T4 T5 T6 INSTRUCTIONS: To receive full credit, you must fully justify your answers and show all written work (including algebraic steps) in a neat and orderly fashion. If your work is disorganized or the grader cannot follow you logic, you will be penalized. Avoid writing down single answer solutions – the homework problems, like the GRs, are generally designed to require multiple steps and, with only a few exceptions, are not “plug and chug” exercises. AUTHORIZED RESOURCES: Please document any instructor(s) and/or student(s) you consulted and the precise nature of the assistance you received in completing this assignment. You DO NOT need to document use of the text, class handouts, or your own classroom instructor. Any published or unpublished material, or internet source, does not need to be documented unless the material specifically aims at answering problems in Mastering Physics. DOCUMENTATION: __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ Problem Name Points Possible Points Earned Problem Name Electric Flux Concept Problem CP 2.1 Knight Problem 27.10 Gauss's 2 Charges Gauss’s Law WS3 Gauss's Law on a Conducting Shell Knight Problem 27.16 Total: _______ / 32 1/9 Points Possible Points Earned Problem Name: Knight Problem 27.10 Description: A flat disc of radius ____ cm is placed in a uniform electric field of ________ N/C. Part A: What is the electric flux through the disc when the disc's surface is perpendicular to the field lines? Answer: Part B: What is the electric flux through the disc when the disc's surface is parallel to the field lines? Answer: Part C: What is the electric flux through the disc when the disc's surface is 45 degrees to the field lines? Answer: Physics 215 – Fall 2006 2/9 Homework Journal #5 Problem Name: Knight Problem 27.10 Description: The electric flux through the surface shown in the figure below is ________ N m2/C. What is the electric field strength? Answer: Physics 215 – Fall 2006 3/9 Homework Journal #5 Problem Name: Gauss's Law WS3 Description: A cube (0.3 m on each edge) is placed in a uniform electric field of ________ N/C. You can assume that the field enters perpendicular to one side of the cube and leaves perpendicular on the opposite side of the cube. Note: Be sure to justify your answers on this problem!!! Part A: What is the electric flux through the side of the cube where the electric field lines strike the cube (the left side in the picture)? Answer: Part B: What is the electric flux through the side of the cube where the electric field lines leave the cube (the right side in the picture)? Answer: Part C: What is the electric flux through the top and bottom of the cube? Answer: Part D: What is the electric flux through the front and back sides of the cube? Answer: Part E: What is the total flux through the cube? Answer: Physics 215 – Fall 2006 4/9 Homework Journal #5 Problem Name: Knight Problem 27.16 Description: The net electric flux through a closed surface is ___________ N m2/C. How much charge is enclosed within the surface? Answer: Physics 215 – Fall 2006 5/9 Homework Journal #5 Problem Name: CP 2.1 Description: An electrically neutral piece of copper (____ cm x ____ cm) is placed in a region of uniform electric field of _____ N/C which is directed perpendicular to the plate. What is the total charge induced on the each face of the plate? Answer: Physics 215 – Fall 2006 6/9 Homework Journal #5 Problem Name: Gauss's 2 Charges Description: Two charges ______ uC and _____ uC are located at x=_____ cm and x=_____ cm respectively. HINT: This is a 3-D problem. Part A: What is the net electric flux through a sphere of radius ______ cm centered at the origin? Answer: Part B: What is the magnitude of the electric field at x=______ cm? Answer: Part C: What is the electric flux through a sphere of radius ________ cm centered at the origin? Answer: Part D: What is the magnitude of the electric field at x= _______ cm? Answer: Physics 215 – Fall 2006 7/9 Homework Journal #5 Problem Name: Gauss's Law on a Conducting Shell Description: A charge of _____ nC is placed in the center of a neutrally conducting shell as shown in the figure below. The distance from the center to point A is xa = _____ cm. The distance from the center to point C is xc = _____ cm. The inner shell radius rin = _______ cm and the outer shell radius is rout = _____ cm. You may assume the shell has reached electrostatic equilibrium. (Hint: This is a 3-D problem.) Part A: What is the total electric flux through a spherical shell passing through point A centered on the charge? Answer: Part B: What is the magnitude of the total electric field at point A? Answer: Physics 215 – Fall 2006 8/9 Homework Journal #5 Part C: What is the total electric flux through a spherical shell passing through point B centered on the charge (assume that point B is immediately in the center of the spherical conducting shell)? Answer: Part D: What is the total electric field at point B (assume that point B is immediately in the center of the spherical conducting shell)? Answer: Part E: What is the total electric field at point B (assume that point B is immediately in the center of the spherical conducting shell)? Answer: Part F: What is the magnitude of the electric field at point C? Answer: Physics 215 – Fall 2006 9/9 Homework Journal #5