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Chapter 23a

# Chapter 23a - Announcements Homework#1 due 9 pm Monday...

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Announcements ! Homework #1 due 9 pm Monday, September 7 (Labor Day). ! Make use of office hours later today if you need help with the homework. ! Quiz #1 next week, based on Homework #1.

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September 4, 2009 Ch. 23: Gauss' Law - Part A 2 Chapter 23: Gauss’ Law – Part A ! Symmetry in electrostatics. Gaussian surface. ! Flux. ! Flux of an electric field. ! Flux of an electric field. Example. ! HITT question. ! Gauss’ law. ! Gauss’ law and Coulomb’s law.
September 4, 2009 Ch. 23: Gauss' Law - Part A 3 Symmetry in Electrostatics ! Simplify electric field calculations. 2 θ = = = ! ! ! ˆ () ˆ ( c o s ) ˆ (cos ) z dE dE k dE dE k kdq dE k r Due to symmetry, the electric field components in the x,y plane cancel out, and the resultant electric field is along the z axis.

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September 4, 2009 Ch. 23: Gauss' Law - Part A 4 Symmetry in Electrostatics ! Gaussian surface ! A hypothetical (imaginary) closed surface that encloses the charge distribution; ! Any shape, but should mimic the symmetry of the charge distribution in order to minimize the electric field calculations. Gauss' portrait, 1828, Astronomische Nachrichten ! Carl Friedrich Gauss (1777-1855) ! German mathematician and physicist; ! Fundamental theory of algebra, Gaussian distribution, the method of least squares, non-Euclidean geometry, the prime number theorem, geomagnetic maps, . ..
September 4, 2009 Ch. 23: Gauss' Law - Part A 5 Symmetry in Electrostatics ! Gaussian surfaces ! Spherical ! Cubic If the charge is spread uniformly over a sphere, we enclose the sphere with a spherical Gaussian surface.

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September 4, 2009 Ch. 23: Gauss' Law - Part A 6 Symmetry in Electrostatics !
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Chapter 23a - Announcements Homework#1 due 9 pm Monday...

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