From a5d2f00d2f1d24818615c1d92cc1cacdbc030084 Mon Sep 17 00:00:00 2001 From: eggy Date: Sun, 15 Jan 2023 17:44:11 -0500 Subject: [PATCH] ece140: add circuits --- docs/1b/ece140.md | 35 ++++++++++++++++++++++++++++++++++- 1 file changed, 34 insertions(+), 1 deletion(-) diff --git a/docs/1b/ece140.md b/docs/1b/ece140.md index 25a6979..bc0a8b0 100644 --- a/docs/1b/ece140.md +++ b/docs/1b/ece140.md @@ -25,7 +25,7 @@ $$i=\frac{dq}{dt}\approx \frac{\Delta q}{\Delta t}$$ ### Power -Power represents the rate of doing work, in unit watts ($\pu W$, J/s) +Power represents the rate of doing work, in unit watts ($\pu W$, \pu{J/s}) $$P=\frac{dw}{dt}$$ @@ -37,4 +37,37 @@ Much like relative velocity, power is directional and relative, with a positive $$P_{CB}=-P_{BC}$$ +In a closed system, conservation of energy applies: + +$$\sum P_\text{in}=\sum P_\text{out}$$ + The **ground** is the "absolute zero" voltage with a maximum potential difference. It is also known as the "reference voltage". + +### Independent energy sources + +!!! definition + - A **ground** is the reference point that all **potential differences are relative to**. + +A **generic voltage source** provides a known potential difference between its two terminals that is defined by the source. The resultant current can be calculated. + +(Source: Wikimedia Commons) + +A **generic current source** provides a known amperage between its two terminals that is defined by the source. The resultant voltage can be calculated. + +(Source: Wikimedia Commons) + +!!! tip + A current in the **positive direction** indicates that the source is releasing power (is a source). Otherwise, it is consuming power (is a load). + +### Dependent energy sources + +A **dependent <​T: voltage | current> source** has a **T** dependent on the voltage or current elsewhere in the circuit. $k$ is a function that is likely but not guaranteed to be linear. + +$$ +v=kv_0\ |\ ki_0 \\ +i=kv_0\ |\ ki_0 +$$ + +(Source: Wikimedia Commons) + +(Source: Wikimedia Commons)