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184_notes:examples:week2_charged_thing_neutral_thing [2017/08/25 03:41] – [Solution] tallpaul | 184_notes:examples:week2_charged_thing_neutral_thing [2018/01/18 16:43] – tallpaul | ||
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- | ===== Example: | + | ===== Interactions Between Charged and Neutral Objects ===== |
- | Suppose we have a positively charged object near a conductor. What happens to the charge distribution of the conductor when we bring an identical positively charged object near to the other side of the conductor? The situation is pictured | + | Suppose we have a positively charged object near a conductor. What happens to the charge distribution of the conductor when we bring an identical positively charged object near to the other side of the conductor? The situation is pictured |
- | {{ 184_notes: | + | |
+ | {{ 184_notes: | ||
===Facts=== | ===Facts=== | ||
* Electrons in a conductor can move easily through the material. | * Electrons in a conductor can move easily through the material. | ||
- | * The conductor is neutral (total charge is $0 \text{ C}$). | + | * The conductor is neutral (total |
* Opposites attract, so negatively charged electrons tend to be attracted to positively charged objects. | * Opposites attract, so negatively charged electrons tend to be attracted to positively charged objects. | ||
* A smaller distance between charges means a stronger interaction. | * A smaller distance between charges means a stronger interaction. | ||
- | ===Lacking=== | + | ===Goal=== |
* What will the charge distribution in the neutral conductor look like? | * What will the charge distribution in the neutral conductor look like? | ||
+ | /* | ||
===Approximations & Assumptions=== | ===Approximations & Assumptions=== | ||
- | * The charge distribution is not affected by which charged object was nearby first. | + | * The conductor is initially neutral. |
+ | * The final charge distribution is not affected by which charged object was nearby first. | ||
* The setup of the charged objects and the neutral conductor is symmetric. | * The setup of the charged objects and the neutral conductor is symmetric. | ||
* The objects are not touching the conductor, but are close enough to affect the charge distribution. | * The objects are not touching the conductor, but are close enough to affect the charge distribution. | ||
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===Representations=== | ===Representations=== | ||
* In our diagram, we can represent electrons with red subtraction signs, and we can represent the positive nuclei they leave behind with blue addition signs. | * In our diagram, we can represent electrons with red subtraction signs, and we can represent the positive nuclei they leave behind with blue addition signs. | ||
+ | */ | ||
====Solution==== | ====Solution==== | ||
- | A key fact here is that a smaller distance between charges means a stronger interaction. Consider the left-most region of the neutral conductor. | + | A key fact here is that a smaller distance between charges means a stronger interaction. Consider the left-most region of the neutral conductor. |
- | {{184_notes: | + | {{ 184_notes: |