Proof of the Binomial Multisection Transformer Formula by the Method of Induction

Abstract

The well known Binomial Multisetion Transformer formula is proved here by the method of induction. This proof appears to be much simpler than the intuitive method given in a recent contribution or other conventional methods, mentioned there, and is expected to appeal to the students, more than the other methods.

KEYWORDS:

• Binomial transformer
• Impedance matching
• Method of induction
• Quarter wave lines
• Transmission lines

ACKNOWLEDGEMENT

I thank Prof. Sumantra Dutta Roy for his help in preparing this manuscript.

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

S. C. Dutta Roy

S C Dutta Roy was educated at the Calcutta University, and worked with the Kalyani University in India, and the University of Minnesota in the USA, before joining IIT Delhi. During his tenure there, he visited the Leeds University in the UK and the Iowa State University, Ames, Iowa, in the USA, as visiting professor. After serving the IIT Delhi for four decades in various capacities, including a deanship, he is now completely retired. However, he continues research and still publishes papers in professional journals of repute. He has been honoured by Fellowships, including IEEE Fellowship, a Distinguished Fellowship of the IETE, two Honorary Doctorates, and all major national awards, including the highest one, viz. Shanti Swarup Bhatnagar Prize of the Govt. of India, and the Distinguished Teacher Award of the IEEE Signal Processing Society. He is the author of five full time video courses, now available freely in the YouTube, numerous research papers, four patents, and two books.