The document discusses Kirchhoff's rules, which are two simple laws that allow the analysis of electric circuits: 1) Junction Rule - At any junction, the total current entering must equal the total current leaving. 2) Loop Rule - The algebraic sum of potential differences (voltage drops and rises) around any closed loop must be zero. The rules are based on the principles of charge and energy conservation and allow analysis of complex circuits through application of the rules at junctions and loops.

3. Introduction

4. Most electrical circuit consist not merely a single source and a single external resistor, but comprise of a number of sources, resistors or other elements such as capacitors, motors etc. interconnected in a complicated manner. The general term applied to such a circuit is called a network In this presentation, we will discuss how Kirchhoff’s Rule are based on charge neutrality in a metal which will greatly help in calculating electrical properties.

5. KIRCHHOFF’S RULES

6. We know that :- 1/R=1/R1 + 1/R2 + 1/R3 +………+ 1/Rn This uses the fact that there is no net current at any junction . The potential difference across any resistor is same that is if we complete the circuit XY  YX via a path involving any two resistors, the total potential change is 0. These facts, are called Kirchhoff’s Rules which are very useful for many circuit problem.These rules are given by Gustav Kirchhoff in 1845.

7. Junction Rule It states that “at any junction of several circuit elements, The sum of currents entering the junction must equal the sum of currents leaving it.” This rule is based on the fact that change can’t accumulate at any point in a conductor in a steady situation. Net positive or negetive charge will accumalate at the junction at a rate equal to the net electrical current at the junction.Let us take an example of figure at next page:-

9. LOOP RULE It states that “The algebraic sum of changes in potential around any closed resistor loop must be zero.” This rule is based on energy conservation. Otherwise,one can continuously gain energy by circulating charge around a closed loop in a particular direction . The net charge of all potential differences should be zero. Now, let us take an example of it using a figure at next page:-

11. The sum of all potential differences should be zero. As we start from A and go along the loop clockwise to reach the same point A,we get the following potential differences: VA – VB = -I1 R1 VB – VC = -I2 R2 VC – VD = - E1 VD – VE = I3 R3 VE – VF =-I4 R4 VF – VA = E2

12. Adding all these, 0= I 1 R 1 + I 2 R 2 – E1 + I 3 R 3 – I 4 R 4 + E2 The loop will follow the fact that the work done by it in any closed path is zero.

14. 2 . Go around the loop in the designated direction, adding emf’s and potential differences. An emf is counted as positive when it is traversed from (-) to (+)and negative when transformed from (+) to (-).An IR term is counted negative if the resistor is traversed in same direction of the assumed current, and positive if in opposition direction. 3. Equate the sum of step (2) to zero . 4 . If necessary, choose another loop to obtain different relations between the unknowns .

15. and continue until there are as many equations and unknowns or until every circuit element has been included in at least one of the chosen loops.

18. Thank You