{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lecture08

# lecture08 - EE 205 Coifman Linear functions f(Kx)=Kf(x f(x1...

This preview shows pages 1–8. Sign up to view the full content.

EE 205 Coifman 8-1 Linear functions f(K · x)=K · f(x) f(x 1 +x 2 )=f(x 1 )+f(x 2 ) Linear circuits - part 1: proportionality property y=K · x K x y = Kx Input Output

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

View Full Document
EE 205 Coifman 8-2 e.g., i S = x R 1 K R 2 i O = y But how do you use this? 1) implicit in time varying i/o 2) unit output method 3) will pop up in subsequent engineering courses
EE 205 Coifman 8-3 + - 5 V 15 20 10 10 + v O - ΩΩ How do you find v o ? Unit output method- one more tool for your toolbox For circuits with one input, First, turn the problem around, given a chosen output, what is the required input? Then use the proportionality property to find K and solve the circuit 1) A unit output is assumed; i.e., v o =1V or i o =1A 2) Solve for the input using the tools we have already developed 3) K = output / input = 1 / input_for_unit_output

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

View Full Document
EE 205 Coifman 8-4 A B 15 20 10 10 + v S - i 3 i 1 + v 3 - + v 1 - i 2 L1 L2 i O v O = 1 V (Assumed) - + + v 2 - ΩΩ (this may seem like a trivial case, but trust me, you will appreciate this technique later in more complicated analysis)
EE 205 Coifman 8-5 Linear circuits - part 2: additivity property y=K 1 · x 1 +K 2 · x 2 +K 3 · x 3 +... K 1 K 2 K 3 . . . x 1 x 2 x 3 y + + + + K 1 x 1 K 2 x 2 K 3 x 3

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

View Full Document
EE 205

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.

{[ snackBarMessage ]}

### Page1 / 8

lecture08 - EE 205 Coifman Linear functions f(Kx)=Kf(x f(x1...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online