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The total current entering a junction equals the total current leaving the junction. Primary equation: $\sum I_{in} = \sum I_{out}$

The sum of all electrical voltages around any closed network is zero. Primary equation: $\sum V = 0$

The current through a conductor between two points is directly proportional to the voltage across the two points. Primary equation: $I = \frac{V}{R}$

A systematic way of applying Kirchhoff's Voltage Law (KVL) to determine unknown currents in a circuit. Primary equation: $\sum (IR) = \sum V$ for each mesh

In a linear network with several sources, the current in any branch is the algebraic sum of the currents which would be produced by each source independently. Primary equation: $I = I_1 + I_2 + ... + I_n$

Any collection of voltage sources, current sources, and resistors with two terminals is electrically equivalent to an ideal current source I_no in parallel with a single resistor R_no. Primary equation: $I_{no} = I_{sc}$ and $R_{no} = \frac{V_{oc}}{I_{sc}}$

To obtain maximum external power from a source with a fixed internal resistance, the resistance of the load must equal the resistance of the source. Primary equation: $R_{load} = R_{source}$

A circuit theorem for simplifying networks with parallel voltage sources and resistors to a single voltage source and single resistance. Primary equation: $V_M = \frac{\sum \frac{V_n}{R_n}}{\sum \frac{1}{R_n}}$

Any linear electrical network with voltage and current sources and only resistances can be replaced at terminals A-B by an equivalent voltage source Vth in series connection with an equivalent resistance Rth. Primary equation: $V_{th} = V_{oc}$ and $R_{th} = \frac{V_{oc}}{I_{sc}}$