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50ohm-contents-dl/contents/slides/laddning_energi.md
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SuperminarenandClaude Sonnet 5.5 f7fa8cfbc1 Swedish adaptation: Instegscertifikat and HAREC content
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Co-Authored-By: Claude Sonnet 5.5 <[email protected]>
2026-10-10 15:03:03 +02:00

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Markdown

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