6. Consider an infinite plane of charge with uniform surface charge density a. b) In terms of the (unknown) electric field strength E, how much electric flux passes through the label? Compute this directly using the flux integral: 0 " Ë · dà a) How does the electric field at a point a distance z below the plane compare to the field at a point above the plane in terms of magnitude an direction? label label c) Repeat part (b) for the lid and bottom. [Be careful of the signs!] Construet a cylindrical gaussian surface with cross-sectional area A and height 2n centered on the plane with the axis perpondieular to the plane. Again, this closed surface is made of three other surfaces: a 'label' a 'lid' and a "bottom.' d) Find the electric field (magnitude and direction) at points a distance z from the plane. 0
6. Consider an infinite plane of charge with uniform surface charge density a. b) In terms of the (unknown) electric field strength E, how much electric flux passes through the label? Compute this directly using the flux integral: 0 " Ë · dà a) How does the electric field at a point a distance z below the plane compare to the field at a point above the plane in terms of magnitude an direction? label label c) Repeat part (b) for the lid and bottom. [Be careful of the signs!] Construet a cylindrical gaussian surface with cross-sectional area A and height 2n centered on the plane with the axis perpondieular to the plane. Again, this closed surface is made of three other surfaces: a 'label' a 'lid' and a "bottom.' d) Find the electric field (magnitude and direction) at points a distance z from the plane. 0
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