From 70c5312c21a5567c14aff985534c661974c63765 Mon Sep 17 00:00:00 2001 From: eggy Date: Thu, 2 Feb 2023 18:35:57 -0500 Subject: [PATCH] ece140: add superposition --- docs/1b/ece140.md | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/docs/1b/ece140.md b/docs/1b/ece140.md index 73d2a5a..9decd5d 100644 --- a/docs/1b/ece140.md +++ b/docs/1b/ece140.md @@ -149,3 +149,14 @@ $$\text{output}\propto\text{input}+C$$ !!! example Halving voltage must halve current (or at least halve it relative to a base current / voltage). + +### Superposition + +In linear circuits, the superposition principle states that the voltage/current through an element is equal to the sum of the voltages/currents from each independent source alone. + +$$ +v=\sum v_x \\ +i=\sum i_x +$$ + +To do so, each unused independent source should be replaced with a short circuit (voltage) or an open circuit (current).