This law is also called Kirchhoff's junction rule or Kirchhoff's point rule. This law states that " At any point in an electrical circuit where charge density is not changing in time, the sum of currents flowing towards that point is equal to the sum of currents flowing away from that point.
A charge density changing in time would mean the accumulation of a net positive or negative charge, which typically cannot happen to any significant degree because of the strength of electrostatic forces: the charge buildup would cause repulsive forces to disperse the charges.
For more information on this visit the following links :
www.wisc-online.com/objects/index.asp?objID=DCE3102 ---- Online Example
www.wisc-online.com/objects/index.asp?objID=DCE5203 ----- Practice Problems