TopiC:- Circuit Theorems Government engineering college, Palanpur TopiC:- Circuit Theorems Prepared by- 130610109011 130610109013 130610109014 130610109015 130610109016 140613109003 Subject – Circuit & Network (2130901) Department - Electrical engineering Faculty name - A.M.Patel sir

Subject:- Circuits & Networks Topic:- Circuit Theorems

Content Introduction Superposition Source Transformation Thevenin’s Theorem with examples Norton’s Theorem with examples

Introduction To develop analysis techniques applicable to linear circuits To simplify circuit analysis and help handling the complexity

Superposition Based on linearity property Statement The voltage across (current through) an element is the algebraic sum of the voltage across (current through) that element due to each independent source acting alone.

Example 1 = +

Example 2 = +

Example 3

Source Transformation

Applicable to Dependent Sources

Example 1

Example 2

Thevenin’s Theorem A variable element Thevenin equivalent circuit

Continued = A simple voltage divider

Proof of Thevenin’s Theorem + = All indep. sources on sources off _

Finding VTh and RTh If no dependent sources included

Continued If dependent sources included, two methods can be applied to determine RTh External voltage source method External current source method

Example 1 = RTh VTh

Example 2 = RTh voc

Norton’s Theorem Norton equivalent circuit

Proof of Norton’s Theorem + = All indep. sources on sources off

Example = RN IN