Week3_1 - Lecture Notes for Chapter 19

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1 Lecture Notes for Chapter 19 ± http://www.physics.drexel.edu/~jelena/Phys102Lectures /Lectures102Post.html
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2 Applying Gauss’ Law ± Gauss’ Law is valid for the electric field of any system of charges or continuous distribution of charge. ± Although Gauss’ Law can, in theory, be solved to find E for any charge configuration, in practice it is limited to symmetric situations ± Particularly spherical, cylindrical, or plane symmetry ± Remember, the Gaussian surface is a surface you choose, it does not have to coincide with a real surface
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3 Conditions for a Gaussian Surface ± Try to choose a surface that satisfies one or more of these conditions: ± The value of the electric field can be argued from symmetry to be constant over the surface ± The dot product can be expressed as a simple algebraic produce E dA because and are parallel ± The dot product is 0 because and are perpendicular ± The field can be argued to be zero everywhere over the surface E r A r E r A r
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4 Problem 19.37. ± A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Find (a) the net charge on the shell and (b) the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.
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5 Example 19.9: The Electric Field Due to a Point Charge ± Choose a sphere as the Gaussian surface ± E is parallel to dA at each point on the surface 2 22 (4 ) 4 in E o e o q dE d A Ed A E r qq Ek rr ε π πε Φ= = = == ∫∫ EA r r ±± ±
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6 Example 19.10: Field Due to a
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Week3_1 - Lecture Notes for Chapter 19

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