norton-theorem.pptx

ppt

1. Norton’s Theorem

2. Norton’s theorem Norton’s theorem states that a linear two-terminal circuit can be replaced by equivalent circuit consisting of a current source I N in parallel with a resistor R N where I N is the short-circuit current through the terminals and R N is the input or equivalent resistance at the terminals.

3. Norton’ equivalent circuit

4. Steps to apply Norton’s theorem Find the Thevenin’s resistance of the circuit Short circuit the load resistor and calculate the short circuit current Draw the Norton’s equivalent circuit .

5. How to find short circuit current Thevenin and Norton resistances are equal: Short circuit current from a to b :

6. Norton equivalent circuit parameters : The open circuit voltage v oc across terminals a and b The short circuit current i sc at terminals a and b The equivalent or input resistance R TH at terminals a and b when all independent source are turn off.

7. For the circuit shown in fig draw the Norton’s equivalent circuit.

8. Solution: find R TH

9. Find short circuit current

10. Find value of I SC

11. Norton’s equivalent circuit

12. Find the current flowing load resistance R L using Norton’s theorem

13. Find RTH

14. Find i SC

15. Find V OC

16. Draw Norton’s equivalent circuit

17. Find the Norton equivalent circuit of the circuit in Fig

18. To Find R N =R TH

19. To Find I SC =I N

20. Find isc =IN Apply KVL -8* i2-8 *i2+12+4(i1-i2)=0 -16i2+12+4i1-4i2=0 4i1-20i2+12=0 4*2-20i2+12=0 -20i2+20=0 i2=20/20=1A I2= isc =IN=1A

21. Norton’s equivalent circuit

22. Using Norton’s theorem find current flowing through 3 ohm for the given circuit

23. Apply Norton’s theorem and Thevenin’s theorem to calculate the current in the load resistor of the circuit.

24. To find V TH