ECE201_Lecture07

# ECE201_Lecture07 - − − − − − 8 1 8 1 1 8 5 3 6 4...

This preview shows pages 1–5. Sign up to view the full content.

1 EE201 Linear Circuit Analysis I Lecture 7. Topics: Nodal Analysis 1. Nodal analysis with floating sources — supernodes Example 1 . (1) What is a floating source? Neither terminal is connected to ground node E CCVS, 8i y The problem with a floating source: can’t write Ohm’s law around a floating source The solution: use Gaussian surface and supernode around it (2) Known: V A = 50 v Unknown: V B . V C need 2 eqns. At the Supernode: Inside the Supernode: In matrix form: 3 1 5 1 V B V C = 125 0 V B V C = 1 8 1 1 5 3 125 0 = 1 8 125 625 = 125 / 8 625 / 8 + - A B C E 50 V + V x 0.5 mho + 0.5 mho 8i y 1 mho 2V x i y

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 Example 2 . Find V a , V b , V c . At Node a: At the Supernode: Inside the Supernode: Matrix form: =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: − − − − − 8 1 8 . 1 . 1 8 . 5 . 3 . 6 . 4 . 2 . . 1 c b a V V V , From Matlab: = V 8 . 17 V . 22 V 5 . 12 c b a V V V 3A → b c E 10 V – + ↑ +-a 2I x 5A 0.4 mho 0.1 mho 0.2 mho ↑ 0.4 mho I x 0.1 mho 3 2. Practice Problems (from old exams) (1) For the circuit shown above: (a) Find V A (b) Find V C (c) Write a node equation at node B. Group like-terms and simplify. (d) Write a node equation at node D. Group like-terms and simplify. (e) Put in matrix form and solve for V B and V D . A B C D 12 V 2 A 20 V 4 A E (reference node) G1=0.25 mho G2=0.1 mho G3=0.75 mho G4=1 mho G5=1 mho G6=0.5 mho 4 (2) Find R eq in the circuit shown below. 5 (3) Find the equivalent resistance below as seen from A-B....
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

ECE201_Lecture07 - − − − − − 8 1 8 1 1 8 5 3 6 4...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online