CH17 HW4 - WebAssign Ch17 HW4 S2010(Homework Kiyaniah...

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1. 4/4 points All Submissions Notes Web Assign Ch17 HW4 S2010 (Homework) Kiyaniah Tilghman PY 208, section 003M, Spring 2010 Instructor: Keith Weninger Current Score : 30 / 30 Due : Monday, February 15, 2010 12:30 PM EST About this Assignment Extension Requests Question Points 1 2 3 4 5 4 7 8 10 1 Total 30/30 (100.0%) Description Round trip potential difference; Potential at a point; Potential difference in an insulator; Energy density Instructions Reading: Sec. 17.6-17.9 The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Question: MI3 17.P.094.alt01 A highly charged piece of metal (with uniform potential throughout) tends to spark at places where the radius of curvature is small, or at places where there are sharp points. The breakdown electric field strength for air is about 3 10 6 V/m. (a) It is possible to calculate the maximum possible potential (relative to infinity) in air of a metal sphere of 10 cm radius. First, what is the maximum charge you can put on this sphere? 3.3e-6 3.33e-06 C For that amount of charge, what is the potential of the sphere relative to infinity? 2.97e5 3.00e+05 volts
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2. 7/7 points All Submissions Notes (b) Next, calculate the maximum possible potential relative to infinity in air of a metal sphere of only 0.5 mm radius. What is the maximum charge you can put on this sphere? 8.3e-11 8.33e-11 C For that amount of charge, what is the potential of the sphere relative to infinity? 1.494e3 1500 volts These results are related to the fact that if a piece of metal has a small radius of curvature, it will spark at relatively low potential relative to infinity.
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