Question

If two networks have same graph with different type of elements between corresponding nodes, then?

(a) \(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0

(b) \(\Sigma^{b}_{k=1}\)V1ki2k ≠ 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0

(c) \(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k ≠ 0

(d) \(\Sigma_{k=1}^{b}\)V1ki2k ≠ 0, \(\Sigma^{b}_{k=1}\)V2ki1k ≠ 0

This question was addressed to me in exam.

I'd like to ask this question from Tellegen’s theorem in portion Useful Theorems in Circuit Analysis of Network Theory

Answer 1

Correct choice is (a) \(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0

To explain: If two networks have same graph with different type of elements between corresponding nodes, then \(\Sigma^{b}_{k=1}\)V1ki2k = 0, \(\Sigma^{b}_{k=1}\)V2ki1k = 0.