Electronics and Communication Engineering - Networks Analysis and Synthesis - Discussion

Discussion Forum : Networks Analysis and Synthesis - Section 11 (Q.No. 41)
41.
The network has 10 nodes and 17 branches. The number of different node power voltages would be
7
9
10
45
Answer: Option
Explanation:

Node pair voltage = number of node - 1.

Discussion:
7 comments Page 1 of 1.

ASHISH NAUTIYAL said:   10 years ago
The first point could be any one of the 10 nodes. The second point could be any one of the 9 remaining nodes.

So there are (10 x 9) = 90 ways to connect my voltmeter.

But for each one, there's another one that's just the same two points. But with opposite polarity.

So there are 90/2 = 45 distinct different pairs of nodes.

Supriya khodke said:   8 years ago
According to me, the answer is 45. Ref : J.B Gupta.

Is there any reference? Please explain this.

Gaurav suman said:   8 years ago
45 is the correct answer.

Manikandan Raju said:   8 years ago
45 is the correct answer.

Your explanation is correct @Ashish.

Arup said:   7 years ago
Formula n(n-1)/2, n = number of nodes.

Akundu said:   7 years ago
Please explain with an example.

SARVESH MAURYA said:   3 years ago
@All.

Here, all are giving just no of node pairs which actually give branch voltages.
Here asking for node power voltage for kcl.

So, anyone, please clarify this clearly.

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