Assignment 4- Gauss's Law

# Assignment 4- Gauss's Law - The Electric Field inside a...

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The Electric Field inside a Conductor Learning Goal: To understand how the charges within a conductor respond to an externally applied electric field. To illustrate the behavior of charge inside conductors, consider a long conducting rod that is suspended by insulating strings (see the figure). Assume that the rod is initially electrically neutral, and that it remains so for this discussion. The rod is positioned along the x axis, and an external electric field that points in the positive x direction (to the right) can be applied to the rod and the surrounding region. The atoms in the rod are composed of positive nuclei (indicated by plus signs) and negative electrons (indicated by minus signs). Before application of the electric field, these atoms were distributed evenly throughout the rod. Part A What is the force felt by the electrons and the nuclei in the rod when the external field described in the problem introduction is applied? (Ignore internal fields in the rod for the moment.) Hint A.1 Formula for the force on a charge in an electric field Hint not displayed ANSWER:

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Picture 898 Picture 89 Picture 90 Picture 901 The Electric Field inside a Conductor Part A Both electrons and nuclei experience a force to the right. The nuclei experience a force to the right and the electrons experience a force to the left. The electrons experience a force to the left but the nuclei experience no force. The electrons experience no force but the nuclei experience a force to the right. Answer not displayed Part B What is the motion of the negative electrons and positive atomic nuclei caused by the external field? Hint B.1 Hint not displayed Hint B.2 Hint not displayed ANSWER:
Picture 902 Picture 903 Picture 904 Picture 905 The Electric Field inside a Conductor Part A Answer not displayed Part C Part not displayed Part D Part not displayed

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Visualizing Electric Fields Learning Goal: To understand the nature of electric fields and how to draw field lines. Electric field lines are a tool used to visualize electric fields. A field line is drawn beginning at a positive charge and ending at a negative charge. Field lines may also appear from the edge of a picture or disappear at the edge of the picture. Such lines are said to begin or end at infinity . The field lines are directed so that the electric field at any point is tangent to the field line at that point. The figure shows two different ways to visualize an electric field. On the left, vectors are drawn at various points to show the direction and magnitude of the electric field. On the right, electric field lines depict the same situation. Notice that, as stated above, the electric field lines are drawn such that their tangents point in the same direction as the electric field vectors on the left. Because of the nature of electric fields, field lines never cross. Also, the vectors shrink as you move away from the charge, and the electric field lines spread out as you move away from the charge. The spacing between electric field lines indicates the strength of the electric field, just as the length of vectors indicates the strength of the electric field. The greater the
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## This note was uploaded on 04/18/2010 for the course PHYS ? taught by Professor Zhou during the Spring '10 term at Georgia State.

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Assignment 4- Gauss's Law - The Electric Field inside a...

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