BASIC DC THEORY 6

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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.

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.

 

loop equation circuit

 

assumed direction of current flow

 

applying voltage law to loop

 

applying voltage law to loop

 

kirchhoffs voltage law

 

kirchhoffs voltage law

node point

 

circuit for node analysis

 

node voltage analysis

 

circuit for node analysis

 

circuit equvilent

 

 

t and y network

 

 

pi and delta network

 

wye to delta conversion

 

 

bridge circuit

 

 

 

bridge circuit

 

 

bridge circuit

 

 

 

 

 

 

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