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1 6.002x CIRCUITS AND ELECTRONICS Digital Circuit 101 101

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1

6.002x CIRCUITS AND ELECTRONICS

Digital Circuit 101      101  

2

Review

C +

– + –

R vC vI

vC (0) = VO

3

( ) RCt

IOIC eVVVv−

−+= 1

C +

– + –

t0

vI

VI

R

vC vI

vC (0) = VO

An Intuitive Approach

cbvdtdv

a =+

4

Let’s apply the result to an inverter

Demo

5

A B

VS VS

X CGS

First, rising delay tr at B

6

A B

VS VS

X CGS

1 à 0 at A

Rising delay tr at B

Bv

0

0

vA

5V

5V

t

t

7

Equivalent circuit for 0à1 at B

A B

VS VS

X CGS

8

GSLCRt

SSB eVVv−

−=Rising delay tr at B

9  

Numbers

10

Falling Delay at B tf

A B

VS VS

X CGS

11

Falling Delay at B tf Equivalent circuit for 1 à 0 at B

+ – +

( )( )VVv SB5

0 =RL

VS

X

RON CGS vB

12

Falling Delay at B tf

ONLTH RRR ||=

LON

ONSTH RR

RVV+

=

+

– + – CGS vB

RTH

VTH

( )( )VVv SB5

0 =

13

+

– + – CGS vB

RTH

VTH

Falling Delay at B tf

14  

Numbers

15

Slower may be better

16

Slower may be better

17

6.002 expert saw the solution!

Demo