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| 184_notes:examples:week5_flux_cube_plane [2017/09/19 13:47] – [Solution] tallpaul | 184_notes:examples:week5_flux_cube_plane [2017/09/22 15:57] (current) – dmcpadden | ||
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| + | FIXME - this is more or a homework problem for them. So I'm not sure we want to use this one... | ||
| =====Example: | =====Example: | ||
| Suppose you have a plane of charge with a uniform surface charge density of σ=−4μC/m2. What is the electric flux through a cube with side-length l=0.5 m that is placed halfway into the plane? Feel free to use the electric field due to an infinite uniform plane of charge: →E=σ2ϵ0(±ˆz) (where ±ˆz points away from plane). Notice that the strength of the electric field does not depend on the distance from the plane -- it is constant apart from a change in direction when you cross over to the other side of the plane. | Suppose you have a plane of charge with a uniform surface charge density of σ=−4μC/m2. What is the electric flux through a cube with side-length l=0.5 m that is placed halfway into the plane? Feel free to use the electric field due to an infinite uniform plane of charge: →E=σ2ϵ0(±ˆz) (where ±ˆz points away from plane). Notice that the strength of the electric field does not depend on the distance from the plane -- it is constant apart from a change in direction when you cross over to the other side of the plane. | ||