Kirchhoff's Laws PDF

Kirchhoff's Laws History of Kirchhoff’s Law: Described two Laws that became central to electrical engineering in 1845. The Laws were Generalized from t...

Kirchhoff's Laws History of Kirchhoff’s Law: Described two Laws that became central to electrical engineering in 1845. The Laws were Generalized from the work of Georg Ohm. It’s can also be dived from Maxwell's equations, but were developed prior to Maxwell’s work. Gustav Robert Kirchhoff (German Physicist) Types of Kirchhoff’s Law: KVL Kirchhoff Voltage Law KCL Kirchhoff Current Law Kirchhoff's Voltage Law(KVL):  Kirchhoff’s Voltage Law (KVL) States that the Algebraic sum of the voltage across any set of branches in a closed loop is zero. i.e.;  Below is a single loop circuit. The KVL computation is expressed graphically in that voltages around a loop are Summed up by traversing (figuratively walking around ) the loop. Kirchhoff’s Current Law:  Kirchhoff’s Current Law or KCL, States that the ”Total Current or charge entering a junction or node is exactly equal to the charge leaving the node as it has no other place to go except to leave, as no charge is lost within the node”.  In other words the algebraic sum of all the current entering and leaving a node must be equal to zero, I existing + I entering=0. This idea By Kirchoff is commonly known as the Conservation of charge.  Kirchhoff’s Current Law:  Algebraic Sum of all the current entering and leaving a node must be equal to zero, I entering + I existing =0.  Here the three currents entering the node,I1,I2,I3 are all positive in value and the 2 currents leaving the node, I4 and I5 are negative in value. Then this means we can also rewrite the equation as; I1+I2+I3-I4-I5=0  The Term Node is an electrical Circuit generally refers to a conjunction or junction of two or more current Carrying paths or elements such as Cables and components. Sample Problem: Applications of Kirchhoff’s Law: Conclusion:  By Knowing and using Kirchhoff’s Laws we can simplify our calculations and reduce more amount of mathematics in solving for circuits.