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L2b - Kirchhoff's Laws for Resistive Circuits Kirchhoff...

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Kirchhoff’s Laws for Resistive Circuits Kirchhoff developed some useful rules for the analysis of resistive circuits. These are known as Kirchhoff’s Junction Law (think of current), and Kirchhoff’s Loop Law (think of voltage). Consider first the circuit shown below. Given the values of a certain number of the circuit’s elements, we can find the remaining unknowns with the application of one of Kirchhoff’s laws. Here, the voltages, and resistances are all known, but we are left to determine the currents I 1 , I 2 , and I 3 . It is useful to mark in all the directions of the given currents and voltages on the circuit. d f e c b a I 2 V 2 =60V v 1 =100V I 1 R 4 =6 R 2 =12 R 3 =4 I 2 I 3 R 1 =10 I 1 - + - + I 3 Kirchhoff’s Junction Law: The algebraic sum of all currents into any junction is zero . By a junction, we mean any set of terminals such as, a, b, c, d, e , and f , as shown in the figure which are connected.
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