The Formula for the Equivalent Resistance of Complex Resistance Network (Circuits))

Discussion in 'General Electronics Chat' started by Deli Zhang, Apr 11, 2015.

  1. Deli Zhang

    Thread Starter New Member

    Apr 11, 2015
    1
    0
    Hi All,
    Great! I have found the formula for equivalent resistance of arbitrary complex circuits.
    The attachment is the paper, you can download it directly, and I advice you visit my blogger page http://delizhang.blogspot.tw/
    to get details.

    In this paper I given the formula of equivalent resistance for arbitrary circuits and proof. To understand the paper you may have to learn Graph Theory and Metrix Theory, the wording statement of the paper is professional to a mathematics student, even so I will help you understand it.

    Example. You will feel how magical the formula is!


    upload_2015-4-11_21-42-16.png
    What's the equivalent resistance R(A,B) between A and B?

    Solution:
    Use conductance to describe the circuit.
    upload_2015-4-11_21-42-16.png


    So the equivalent resistance R(A,B)=5/6

    Thanks,
    Deli
     
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