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184_notes:examples:week2_electric_potential_positive_point [2018/01/24 17:03] – tallpaul | 184_notes:examples:week2_electric_potential_positive_point [2018/05/17 16:48] (current) – curdemma | ||
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- | ===== Electric Potential from a Positively Charged Balloon ===== | + | [[184_notes: |
- | Suppose we have a positively charged balloon with total charge $Q=5\cdot 10^{-9} \text{ C}$. What is the electric potential (also called voltage) at a point $P$, which is a distance $R=50 \text{ cm}$ from the center of the balloon? | + | ===== Example: |
+ | Suppose we have a positively charged balloon with total charge $Q=5.0\cdot 10^{-9} \text{ C}$. What is the electric potential (also called voltage) at a point $P$, which is a distance $R=50 \text{ cm}$ from the center of the balloon? | ||
===Facts=== | ===Facts=== | ||
- | * The balloon has total charge $Q=5\cdot 10^{-9} \text{ C}$. | + | * The balloon has total charge $Q=5.0\cdot 10^{-9} \text{ C}$. |
* The point $P$ is a distance $R=50 \text{ cm}$ away from the center of the balloon. | * The point $P$ is a distance $R=50 \text{ cm}$ away from the center of the balloon. | ||
* The electric potential due to a point charge can be written as $$V = \frac{1}{4\pi\epsilon_0}\frac{q}{r}, | * The electric potential due to a point charge can be written as $$V = \frac{1}{4\pi\epsilon_0}\frac{q}{r}, | ||
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- | {{ 184_notes: | + | [{{ 184_notes: |
===Goal=== | ===Goal=== | ||
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<WRAP TIP> | <WRAP TIP> | ||
=== Assumption === | === Assumption === | ||
- | The electric potential infinitely far away from the balloon is $0 \text{ V}$. Read [184_notes: | + | The electric potential infinitely far away from the balloon is $0 \text{ V}$. Read [[184_notes: |
</ | </ | ||