• Support PF! Buy your school textbooks, materials and every day products Here!

Node Voltages Problem

  • Thread starter k_squared
  • Start date
  • #1
63
0

Homework Statement


We are told to analyse the circuit in the diagram (ignore the texts) with the method of node voltages.

0zeHibh.jpg

Here is the answer:

d07kUqj.jpg


Homework Equations


Kirchhoff's Current Law
Kirchhoff's Voltage Law

The Attempt at a Solution


So far, all I have been able to get is the equation described by the top line of the matrix relation. However, there is no 0 by the resistance!

Worse, the bottom equation looks to me like (1-alpha)*v_2. And I have no idea where v_2 is even defined, or how this is a valid KCL equation without the value or R_2 anywhere....

Thank you in advance for any help!
 

Answers and Replies

  • #2
gneill
Mentor
20,795
2,773
Your diagram has labelled the nodes 1 and 2. So it is reasonable to assume that v1 corresponds to node 1's voltage and that v2 corresponds to node 2's voltage.

It could be that when you are trying to recover the individual node voltage expressions that you are not correctly carrying out the matrix times vector operation?

I do see one typo in the text's solution though. The resistor in the matrix's first term should be R1, not R.

Why don't you try writing out the nodal analysis equations from scratch. They can always be be wedged into matrix form afterwards.
 

Related Threads on Node Voltages Problem

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
7
Views
3K
Replies
9
Views
7K
  • Last Post
Replies
2
Views
5K
Replies
9
Views
1K
  • Last Post
Replies
1
Views
2K
Replies
1
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
539
  • Last Post
Replies
5
Views
11K
Top