fix typos
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Mark 2025-01-19 20:26:04 -08:00
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@ -18,7 +18,7 @@ In the definitions below, let $X$ be the set of nodes in a circuit.
In the real world, voltage is always measured \textit{between two points} on a circuit. In the real world, voltage is always measured \textit{between two points} on a circuit.
Voltage is defined as the \textit{difference} in electrical charge between two points. Voltage is defined as the \textit{difference} in electrical charge between two points.
Hence, voltage is a function of two nodes. Hence, voltage is a function of two nodes.
\vspace{2mm} \vspace{2mm}
Note that this is different than current and resistance, which aren't functions Note that this is different than current and resistance, which aren't functions
@ -67,7 +67,7 @@ Convince yourself that $V(a, b) = V(a) - V(b)$.
\definition{Kirchoff's law} \definition{Kirchoff's law}
The second axiom of electrical circuits is also fairly simple. \textit{Kirchoff's law} states that the sum of all currents connected to The second axiom of electrical circuits is also fairly simple. \textit{Kirchoff's law} states that the sum of all currents connected to
a given edge is zero. You can think of this as \say{conservation of mass}: nodes in our circuit do not create or a given edge is zero. You can think of this as \say{conservation of mass}: nodes in our circuit do not create or
destroy electrons, they simply pass them around to other nodes.\par destroy electrons, they simply pass them around to other nodes.\par
Formally, we can state this as follows: Formally, we can state this as follows:
@ -88,11 +88,11 @@ which must hold at every node \textbf{except the source and ground vertices.} \p
\begin{instructornote} \begin{instructornote}
Be aware that some students may not be comfortable with these concepts from physics, Be aware that some students may not be comfortable with these concepts from physics,
nor with the circuit notation on the next page. nor with the circuit notation on the next page.
\vspace{2mm} \vspace{2mm}
It may be a good idea to give the class a quick lecture on this topic, It may be a good idea to give the class a quick lecture on this topic,
explaining the basics of electonic circuits and circuit diagrams. explaining the basics of electronic circuits and circuit diagrams.
\vspace{2mm} \vspace{2mm}