Circuits & Electronics P3

si node linear sum matrix voltages of sources... Homogeneit Linearity Superposition 6.002 Fall 2000 Lecture 3... Method 4: Superposition method The output of a circuit is determined by

® Circui† composi†ion rules

@ Node method - the workhorse of 6.002

KCL at nodes using V's referenced

from ground

(KVL implicit in" (e,-e,) G")

6.002 Fall 2000 Lecture 3 2

Write node equations

Rearrange

+ + I e = lã +

Kk, k, \ k, \

conductance node linear sum

matrix voltages of sources

6.002 Fall 2000 Lecture 3 4

si node linear sum

matrix voltages of sources

Homogeneit

Linearity Superposition

6.002 Fall 2000 Lecture 3

0 — — Vy V,;— — V9

6.002 Fall 2000 Lecture 3 9

Method 4: Superposition method

The output of a circuit is

determined by summing the

responses to each source

6.002 Fall 2000 Lecture 3 10

Back to the example

Use superposition method

6.002 Fall 2000 Lecture 3 12

Back to the example

Use superposition method

Yet another method

Or

=z„ + Ryyl

As far as the external world is concerned

(for the purpose of I-V relation),

“Arbitrary network N" is indistinguishable

V„„ ——> open circuit voltage

at terminal pair (a.k.a port)

—- resistance of network seen

from port

(Vs, I,s set to Q)

R TH

6.002 Fall 2000 Lecture 3 16

> in recitation,

Method 5: see text

The Norton Method