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184_notes:examples:week2_conducting_insulating_balls [2017/08/24 23:03] – [Example: Attempting to Charge Insulators by Induction] tallpaul | 184_notes:examples:week2_conducting_insulating_balls [2018/05/17 16:36] – [Example: Attempting to Charge Insulators by Induction] curdemma | ||
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+ | [[184_notes: | ||
===== Example: Attempting to Charge Insulators by Induction ===== | ===== Example: Attempting to Charge Insulators by Induction ===== | ||
- | In the notes on [[184_notes: | + | In the notes on [[184_notes: |
- | {{ 184_notes: | + | |
- | Is it possible to charge a pair of insulators using induction? Why or why not? | + | |
===Facts=== | ===Facts=== | ||
- | * The Avogadro constant is $N_A = 6.022 \cdot 10^{23} \text{ mol}^{-1}$ | + | * Electrons in an insulator are tightly bound to the nucleus, so the atoms can polarize but charges cannot move freely through an insulator. |
- | * Note: When we write the unit as $\text{ mol}^{-1}$, we mean particles per mole. We could also write this unit as $mol^{-1}=\frac{1}{mol}$. | + | |
- | * All electrons have the same charge, which is $e = -1.602\cdot10^{-19} \text{ C}$. | + | |
- | + | ||
- | ===Lacking=== | + | |
- | * Total Charge | + | |
- | + | ||
- | ===Approximations & Assumptions=== | + | |
- | * None, we have all the information we need. | + | |
===Representations=== | ===Representations=== | ||
- | * The total number of particles $N$ can be found from the number of moles $m$ using the Avogadro constant: $N = m \cdot N_A$. | + | * From the notes, we can pull a representation for how we would charge // |
- | * The total charge $Q$ can be written | + | [{{ 184_notes: |
+ | * We can model the atoms in an insulator | ||
+ | [{{ 184_notes:polarizedatom.png? | ||
+ | |||
+ | ===Goal=== | ||
+ | * Create an explanation for whether it is possible to charge a pair of insulators using induction. | ||
====Solution==== | ====Solution==== | ||
- | yeas | + | <WRAP TIP> |
+ | === Assumption === | ||
+ | Right away, we make the assumption that an induction process for insulators would look the same as it does for conductors. The reason we make this assumption is because this process, as described in the notes, is our basis for understanding how charging by induction works. If it looks the same and involves the same steps, we can more easily describe what we think will happen. | ||
+ | </ | ||
+ | |||
+ | We show the analogous " | ||
+ | |||
+ | {{ 184_notes: | ||
+ | |||
+ | The critical difference between conductors and insulators is that electrons can flow from one conductor to the other, but for insulators the electrons are bound to their nuclei. Because of this, the insulators do not charge by induction. |