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ece140: add kirchhoff final

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eggy 2023-01-23 11:12:37 -05:00
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@ -100,9 +100,17 @@ P &= IR^2 \\
\end{align*} \end{align*}
$$ $$
## Kirchoff's laws ## Kirchhoff's laws
!!! definition !!! definition
- A **node** is any point in the circuit to which 3+ elements are *directly* connected (i.e., all junctions). - 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 **supernode** is any connected group in the circuit to which 3+ elements are *directly* connected.
- A **loop** is any closed path of elements. - A **loop** is any closed path of elements.
Kirchhoff's **current law** states that the sum of all current entering a node must be zero, where positive indicates current entrance.
$$\sum i_\text{entering node}=0$$
Kirchoff's **voltage law** states that the sum of all voltage in a **closed loop** must be zero.
$$\sum v_\text{loop}=0$$