 # Superposition Theorem | Network Theory

## Transcript

Superposition Principle: Super position is only valid in linear circuits. So firstly discuss about linearity. Linearity is defined by two principles

• Homogenity
Homogenity If input is scaled by some constant factor, then output should also be scaled by same constant factor. One more very important fact to justify the homogenity is., if input is not applied to the circuit, output must have to be zero. Additivity If we will add two inputs and feed to the circuits, then total output must have to be equal as the sum of individual output which will be produced by each source individually. x(t)?y(t) ax(t)?ay(t) bx(t)?by(t) } Homogenity (a+b)x(t)?ay(t)+by(t)?Addivity Superposition theorem In any linear circuit, voltage across or current through an element is the algebraic sum of voltages across or current through that element due to each independent source acting alone, when remaining sources are replaced by their internal impedances. Hence we have to determine (v’) Active voltage source only and calculate v’; when current source is replaced by ideal independent source. Voltage source?ideal impedance is zero Rs=0 ;(S/C) Current source?ideal impedance is infinity Rs=? ;(O/C) Limitation of Superposition principle