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184_notes:examples:week5_flux_tilted_surface [2021/05/29 21:07] – [Solution] schram45 | 184_notes:examples:week5_flux_tilted_surface [2021/06/04 00:41] (current) – schram45 | ||
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* $\Phi_e$ | * $\Phi_e$ | ||
* $\vec{A}$ | * $\vec{A}$ | ||
- | |||
- | ===Approximations & Assumptions=== | ||
- | * The electric field is constant. | ||
- | * The surface is flat. | ||
- | * The electric flux through the surface is due only to $\vec{E}$. | ||
===Representations=== | ===Representations=== | ||
Line 23: | Line 18: | ||
* We represent the situation with the following diagram. Note that the top of the rectangle aligns along the $z$-direction, | * We represent the situation with the following diagram. Note that the top of the rectangle aligns along the $z$-direction, | ||
[{{ 184_notes: | [{{ 184_notes: | ||
+ | |||
+ | <WRAP TIP> | ||
+ | ===Approximations & Assumptions=== | ||
+ | There are a few simplifying approximations and assumptions we should make before solving this problem. | ||
+ | * The electric field is constant: Allows the electric field to be constant through our area which simplifies down the flux equation. | ||
+ | * The surface is flat: Allows all the area vectors associated with the surface to point in the same direction. | ||
+ | * The electric flux through the surface is due only to $\vec{E}$. | ||
+ | </ | ||
====Solution==== | ====Solution==== | ||
In order to find electric flux, we must first find $\vec{A}$. Remember in the [[184_notes: | In order to find electric flux, we must first find $\vec{A}$. Remember in the [[184_notes: |