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Basic DC Theory DC CIRCUIT ANALYSIS DC CIRCUIT ANALYSIS All of the rules governing DC circuits that have been discussed so far can now be applied to analyze complex DC circuits.  To apply these rules effectively, loop equations, node equations, and equivalent resistances must be used. EO 1.15 Given a simple DC circuit, DETERMINE the equivalent resistance of series and parallel combinations of elements. Loop Equations As we have already learned, Kirchhoff’s Laws provide a practical means to solve for unknowns in  a  circuit.    Kirchhoff’s  current  law  states  that  at  any  junction  point  in  a  circuit,  the  current arriving is equal to the current leaving.   In a series circuit the current is the same at all points in that circuit.   In parallel circuits, the total current is equal to the sum of the currents in each branch.   Kirchhoff’s voltage law states that the sum of all potential differences in a closed loop equals zero. Using Kirchhoff’s laws, it is possible to take a circuit with two loops and several power sources (Figure 37)  and  determine  loop  equations,  solve  loop  currents,  and  solve  individual  element currents. Figure 37    Example Circuit for Loop Equations Rev. 0 Page 49 ES-02


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