Assignment 02

# Assignment 02 - Class PEP112S2007 Assignment 2 Assignment...

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Class PEP112S2007 Assignment 2 Assignment is due at 11:00pm on Sunday, February 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. The Electric Field at a Point Due to Two Point Charges A point charge is at the point meters, meters, and a second point charge is at the point meters, . Part A Calculate the magnitude of the net electric field at the origin due to these two point charges. Hint A.1 How to approach the problem Hint not displayed Part A.2 Calculate the x component of the field created by Part not displayed Part A.3 Calculate the y component of Part not displayed Part A.4 Calculate the magnitude of the field created by the first charge Part not displayed

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Part A.5 Calculate the x component of Part not displayed Part A.6 Calculate the y component of Part not displayed Hint A.7 Putting it all together Hint not displayed Express your answer in newtons per coulomb to three significant figures. ANSWER: = 131 Part B What is the direction, relative to the negative x axis, of the net electric field at the origin due to these two point charges. Hint B.1 How to approach the problem Hint not displayed Express your answer in degrees to three significant figures. ANSWER: = 12.6 up from the negative x axis The Electric Field Produced by a Finite Charged Wire
A charged wire of negligible thickness has length units and has a linear charge density . Consider the electric field at the point , a distance above the midpoint of the wire. Part A The field points along one of the primary axes. Which one? Hint A.1 Consider opposite ends of the wire Hint not displayed ANSWER: Part B

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What is the magnitude of the electric field at point ? Throughout this part, express your answers in terms of the constant , defined by . Hint B.1 How to approach the problem Hint not displayed Part B.2 Find the field due to an infinitesimal segment Part not displayed Hint B.3 A necessary integral Hint not displayed Express your answer in terms of , , , and . ANSWER: = Torque on a Dipole in a Uniform Field Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle with respect to the y axis. There is an external electric field of magnitude (independent of the field produced by the dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges and , respectively, and the two charges are a distance apart. The dipole has a moment of inertia about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center.
Part A What is the net force that the dipole experiences due to the electric field?

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