184_notes:examples:week5_gauss_ball

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184_notes:examples:week5_gauss_ball [2021/06/07 14:00] – [Solution (Part A)] schram45184_notes:examples:week5_gauss_ball [2021/06/07 14:02] (current) schram45
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          \end{cases}          \end{cases}
 \] \]
-Outside the ball, the electric field exists as if the ball were a point charge! +Outside the ball, the electric field exists as if the ball were a point charge! It is also important to note that the relationships seen in our above equations also agree with what we already know about insulating spheres of charge. 
 ====Solution (Part B)==== ====Solution (Part B)====
 We repeat the process above for the case that the ball is a conductor. Notice that much of the reasoning is the exact same. We still have spherical symmetry, and we choose the same Gaussian surface. It is pictured below for both $r<R$ and $r>R$. We repeat the process above for the case that the ball is a conductor. Notice that much of the reasoning is the exact same. We still have spherical symmetry, and we choose the same Gaussian surface. It is pictured below for both $r<R$ and $r>R$.
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  • Last modified: 2021/06/07 14:00
  • by schram45