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