diff --git a/docs/1b/ece140.md b/docs/1b/ece140.md index 65ed1c8..4090823 100644 --- a/docs/1b/ece140.md +++ b/docs/1b/ece140.md @@ -77,3 +77,32 @@ $$ A **cathode ray tube** produces an electron beam of variable intensity depending on the input signal. Electrons are deflected by the screen to produce imagery. + +### Resistance + +A **resistor** *always absorbs power*, so must be oriented such that current goes into the positive sign. + +According to Ohm's law, the voltage, current, and resistance are related: + +$$v=iR$$ + +The **conductance** of a resistor is the inverse of its resistance, and is expressed in siemens ($\pu{S}$) + +$$G=\frac 1 R = \frac I V$$ + +Therefore, power can be expressed by manipulating the equations: + +$$ +\begin{align*} +P &= IR^2 \\ +&= V^2G \\ +&= \frac{V^2}{R} +\end{align*} +$$ + +## Kirchoff's laws + +!!! definition + - A **node** is any point in the circuit to which 3+ elements are *directly* connected (i.e., all junctions). + - A **supernode** is any connected group in the circuit to which 3+ elements are *directly* connected. + - A **loop** is any closed path of elements.