36 lines
863 B
Markdown
Executable File
36 lines
863 B
Markdown
Executable File
## Elektrisk laddning
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Ström över tid
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$Q = I\cdot t$
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i amperesekunder (As)
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---
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## Elektrisk energi
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Effekt över tid
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$W = P\cdot t$
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i joule ($\unit{\joule}$) relaterat till sekunder eller wattimmar ($\unit{\watt\hour}$)
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---
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### Räkneexempel
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* givet: $U = \qty{230}{\volt}$
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* givet: $I = \qty{0,63}{\ampere}$
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* givet: $t = \qty{7}{\hour}$
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* sökt: $W$
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<fragment>
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$$W = P\cdot t = U\cdot I\cdot t = \qty{230}{\volt} \cdot \qty{0,63}{\ampere} \cdot \qty{7}{\hour} = \qty{1,01}{\kilo\watt\hour}$$
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</fragment>
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---
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### Räkneexempel
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* givet: $U = \qty{10}{\volt}$
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* givet: $R = \qty{100}{\ohm}$
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* givet: $t = \qty{1}{\hour}$
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* sökt: $W$
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<fragment>
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$\begin{split} W = P\cdot t = \frac{U^2}{R} \cdot t = \frac{(\qty{10}{\volt})^2}{\qty{100}{\ohm}} \cdot \qty{1}{\hour} &= \qty{1}{\watt} \cdot \qty{3600}{\second}\\ &= \qty{3600}{\joule}\end{split}$
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</fragment>
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