184_notes:examples:week5_gauss_ball

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 184_notes:examples:week5_gauss_ball [2021/06/07 10:00]schram45 [Solution (Part A)] 184_notes:examples:week5_gauss_ball [2021/06/07 10:02] (current)schram45 2021/06/07 10:02 schram45 2021/06/07 10:00 schram45 [Solution (Part A)] 2021/06/07 09:55 schram45 2021/06/07 09:54 schram45 2021/06/07 09:51 schram45 2021/06/07 09:51 schram45 2021/06/07 09:48 schram45 2021/06/07 09:44 schram45 2021/06/07 09:42 schram45 2021/06/07 09:42 schram45 2018/07/24 11:26 curdemma 2017/09/25 11:43 tallpaul [Solution (Part A)] 2017/09/25 11:43 tallpaul [Example: Gauss' Law Application -- A Ball of Charge] 2017/09/25 11:42 tallpaul [Example: Gauss' Law Application -- A Ball of Charge] 2017/09/22 12:14 dmcpadden 2017/09/20 08:55 tallpaul [Solution (Part B)] 2017/09/20 08:55 tallpaul [Solution (Part B)] 2017/09/20 08:42 tallpaul [Solution (Part A)] 2017/09/20 08:41 tallpaul [Solution (Part A)] 2017/09/20 08:40 tallpaul [Solution (Part A)] 2017/09/20 08:39 tallpaul [Solution (Part A)] 2017/09/20 08:37 tallpaul [Solution (Part A)] 2017/09/20 08:13 tallpaul [Solution (Part A)] 2017/09/20 08:12 tallpaul [Solution (Part A)] 2017/09/20 08:05 tallpaul [Solution (Part A)] 2017/09/20 08:05 tallpaul [Solution (Part A)] 2017/09/20 07:58 tallpaul [Solution (Part A)] 2021/06/07 10:02 schram45 2021/06/07 10:00 schram45 [Solution (Part A)] 2021/06/07 09:55 schram45 2021/06/07 09:54 schram45 2021/06/07 09:51 schram45 2021/06/07 09:51 schram45 2021/06/07 09:48 schram45 2021/06/07 09:44 schram45 2021/06/07 09:42 schram45 2021/06/07 09:42 schram45 2018/07/24 11:26 curdemma 2017/09/25 11:43 tallpaul [Solution (Part A)] 2017/09/25 11:43 tallpaul [Example: Gauss' Law Application -- A Ball of Charge] 2017/09/25 11:42 tallpaul [Example: Gauss' Law Application -- A Ball of Charge] 2017/09/22 12:14 dmcpadden 2017/09/20 08:55 tallpaul [Solution (Part B)] 2017/09/20 08:55 tallpaul [Solution (Part B)] 2017/09/20 08:42 tallpaul [Solution (Part A)] 2017/09/20 08:41 tallpaul [Solution (Part A)] 2017/09/20 08:40 tallpaul [Solution (Part A)] 2017/09/20 08:39 tallpaul [Solution (Part A)] 2017/09/20 08:37 tallpaul [Solution (Part A)] 2017/09/20 08:13 tallpaul [Solution (Part A)] 2017/09/20 08:12 tallpaul [Solution (Part A)] 2017/09/20 08:05 tallpaul [Solution (Part A)] 2017/09/20 08:05 tallpaul [Solution (Part A)] 2017/09/20 07:58 tallpaul [Solution (Part A)] 2017/09/20 07:51 tallpaul 2017/09/20 07:46 tallpaul [Solution (Part A)] 2017/09/19 20:18 tallpaul [Solution (Part A)] 2017/09/19 20:17 tallpaul [Solution (Part A)] 2017/09/19 20:00 tallpaul [Solution] 2017/09/19 19:45 tallpaul [Example: Gauss' Law Application -- A Ball of Charge] 2017/09/19 12:16 tallpaul [Example: Gauss' Law Application -- A Ball of Charge] 2017/09/19 11:33 tallpaul 2017/09/19 10:49 tallpaul 2017/09/19 10:49 tallpaul created Line 79: Line 79: \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 $rR$. 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 $rR$.
• 184_notes/examples/week5_gauss_ball.txt
• Last modified: 2021/06/07 10:02
• by schram45