Assignment 06

Assignment 06 - Class PEP112S2007 Assignment 6 Assignment...

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Class PEP112S2007 Assignment 6 Assignment is due at 11:00pm on Sunday, March 4, 2007 Credit for problems submitted late will decrease to 0% over the course of 10 hour(s) after the deadline has passed. The wrong answer penalty is 1% per part. Multiple choice questions are penalized as described in the online help. The unopened hint bonus is 1% per part. You are allowed 10 attempts per answer. Energy Stored in a Charge Configuration Four point charges, A, B, C, and D, are placed at the corners of a square with side length . Charges A, B, and C have charge , and D has charge . Throughout this problem, use in place of . Part A
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If you calculate , the amount of work it took to assemble this charge configuration if the point charges were initially infinitely far apart, you will find that the contribution for each charge is proportional to . In the space provided, enter the numeric value that multiplies the above factor, in . Hint A.1 How to approach the problem Hint not displayed Hint A.2 Electric potential and potential energy Hint not displayed Part A.3 Work required to place charge A Part not displayed Part A.4 Work required to place charge B Part not displayed Part A.5 Work required to place charge C Part not displayed Part A.6 Find the work required to place charge D Part not displayed ANSWER: = 0 The hints led you through the problem by adding one charge at a time. A little thought shows that this is equivalent to simply adding the energies of all possible pairs: . Note that this is not equivalent to adding the potential energies of each charge. Adding the potential
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energies will give you double the correct answer because you will be counting each charge twice. Part B Which of the following figures depicts a charge configuration that requires less work to assemble than the configuration in the problem introduction? Assume that all charges have the same magnitude . ANSWER: figure a figure b figure c Equipotential Surfaces in a Capacitor
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Is the electric potential energy of a particle with charge the same at all points on an equipotential surface? Hint A.1 Formula for electric potential energy Hint not displayed ANSWER: Yes No For a particle with charge on an equipotential surface at potential , the electric potential energy has a constant value . Part B What is the work required to move a charge around on an equipotential surface at potential with constant speed? Hint B.1 A formula for work Hint not displayed ANSWER: Work = 0 Since the speed of the charge is constant as it moves along the equipotential surface, and the electric potential energy is constant on that surface, there is no change in the total energy of the charge. This also means that no work is done by the charge as it moves along the equipotential surface. Part C
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This homework help was uploaded on 04/09/2008 for the course PEP 112 taught by Professor Whittaker during the Spring '07 term at Stevens.

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Assignment 06 - Class PEP112S2007 Assignment 6 Assignment...

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