Miller Theorem: Statement and Proof in Hindi

Miller Theorem
Introduction
• It is the process of creating equivalent circuits
• It is applied to a impedance supplied by two voltage sources connected in series
• It is useful in analysis of circuits with feedback
• It simplifies the complex circuits with impedance connected between input and output or between two node voltages
Statement:
• This theorem establishes that in a linear circuit , if there exists a branch with impedance Z connecting between two nodes with node voltages V1 and V2 respectively.
• We can replace this branch by two branches connecting node to ground by impedance Z/(1-K) and KZ/(K-1),where K= V2 / V1.
Circuit of miller theorem
• Consider a circuit of N nodes 1,2,3,……..,N.
• Node voltages are V1 ,V2 ,V3 ,………. ,VN
• N is ground or reference node and voltage is VN =0