Friday 23 December 2016

Kirchhoff's Rules

Circuit Nodes and Loops



  • Node: a point where several wires electrically connect 
  • Symbolized by a dot or circle at the wire crossing 
  • If wires cross without a dot, then not connected 
  • Nodes also called junctions 
  • Typically give nodes a number or letter
  • Branches: lines with devices connecting two nodes 
  • Loop: an independent closed path in a circuit 
  • There may be several possible closed paths 

What is Kirchhoff's Voltage and Kirchhoff's current law


Definition of Kirchhoff's Voltage Law:



  • Algebraic sum of the voltage drops around any loop or circuit = 0   
  • Voltage drops are positive in the direction of the set loop current 
  • Voltage drops negative when opposite loop current 
  • Voltage sources positive if current flows out of + side
  • Voltage sources negative if current flows into + side
  •  A loop is an independent closed path in the circuit 
  •  Define a "loop current" along that path
  •  Real currents may be made up of several loop currents
Kirchhoff's Current Law:

The algebraic sum of currents entering any node (junction) is zero.



    
                                  
NOTE: 
  1.     The sign convention
  2.     Currents are positive when they entering the node 
  3.     Currents negative when leaving  
KCL is called a Continuity Equation: It says current is not created or destroyed at any node.

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