From 12bf988532f4cd15c13c030b973eb0736711a771 Mon Sep 17 00:00:00 2001 From: eggy Date: Sat, 4 Feb 2023 18:02:45 -0500 Subject: [PATCH] ece140: add source trans --- docs/1b/ece140.md | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/docs/1b/ece140.md b/docs/1b/ece140.md index 9decd5d..20e056a 100644 --- a/docs/1b/ece140.md +++ b/docs/1b/ece140.md @@ -160,3 +160,11 @@ i=\sum i_x $$ To do so, each unused independent source should be replaced with a short circuit (voltage) or an open circuit (current). + +### Source transformation + +In linear circuits, a voltage source in series with a resistor can be replaced by a current source in parallel to that resistor (or vice versa), so long as Ohm's law is followed for the replacement: + +$$v_1=i_2R$$ + +The arrow of the current source must point in the positive direction of the voltage source. This can also be used with dependent sources.