Kirchhoff's Laws


Kirchhoff's Laws

Although useful to be able to reduce series and parallel resistors in a circuit when they occur, circuits in general are not composed exclusively of such combinations. For such cases there are a powerful set of relations called Kirchhoff's laws which enable one to analyze arbitrary circuits. There are two such laws:

1 st law or the junction rule: for a given junction or node in a circuit, the sum of the currents entering equals the sum of the currents leaving. This law is a statement of charge conservation.



         I1 +I2+ I3 = I4 + I5



 2 nd law or the loop rule: around any closed loop in a circuit, the sum of the potential differences across all elements is zero. This law is a statement of energy conservation, in that any charge that starts and ends up at the same point with the same velocity must have gained as much energy as it lost.
        






   VAB +VBC +VCD +VDA = 0










Application Of Krichhoff``s Law


 * Wheatstone Bridge
 * Potentio Meter
 Meter Bridge