phys225 lecture 18 - texas a&m...

PHYS225Lecture 18

Electronic Circuits

Oscillators and Timers

• Oscillators & Timers

– Produce timing signals to initiate measurement

• Periodic or single pulse

• Periodic output at known (controlled) frequency

• Shape is also known (controllable)– Sinusoid, square, triangle, etc.

– Part of nearly every electronic device

Relaxation oscillators

• Use a simple RC decay to generate a sustained oscillation

• Example using an op amp as a “comparator”

– Flips between states at a given frequency (1/RC)

Sine Wave Generator

• Wien Bridge oscillator

– 1/3 gain amplifier with phase shift cancellation

• Other techniques

– RC phase shift

– quadrature

Resonators

• Use “piezoelectric” effect

– Voltage generates a strain

– Quartz crystal vibrates at a specific frequency

• Depends on thickness of crystal

– Can cat like a very sharply tuned RLC circuit element

• Q is 104-5

– Very stable and useful!

• The 555 Timer is one of the most popular

and versatile integrated circuits ever produced!

• It is 30 years old and still being used!

• It is a combination of digital and analog circuits.

• It is known as the “time machine” as it performs a wide variety of timing tasks.

• Applications for the 555 Timer include:

– Bounce-free switches and Cascaded timers

– Frequency dividers

– Voltage-controlled oscillators

– Pulse generators and LED flashers

The 555 Timer

555 Timer

• Each pin has a function

• Note some familiar components inside

NE555

2

5

3

7

6

4 81

TR

CV

Q

DIS

THR

R

VC

CG

ND

Inside the 555 Timer

– The voltage divider (blue) has three equal 5K resistors. It divides the input voltage (Vcc) into three equal parts.

– The two comparators (red) are op-amps that compare the voltages at their inputs and saturate depending upon which is greater.

• The Threshold Comparator saturates when the voltage at the Threshold pin (pin 6) is greater than (2/3)Vcc.

• The Trigger Comparator saturates when the voltage at the Trigger pin (pin 2) is less than (1/3)Vcc

Inside the 555 Timer

10

– The flip-flop (green) is a bi-stable device. It generates two values, a “high” value equal to Vcc and a “low” value equal to 0V.• When the Threshold comparator saturates, the flip flop is

Reset (R) and it outputs a low signal at pin 3.

• When the Trigger comparator saturates, the flip flop is Set (S) and it outputs a high signal at pin 3.

– The transistor (purple) is being used as a switch, it connects pin 7 (discharge) to ground when it is closed. • When Q is low, Qbar is high. This closes the transistor

switch and attaches pin 7 to ground.

• When Q is high, Qbar is low. This open the switch and pin 7 is no longer grounded

Types of 555-Timer Circuits

• Astable Multivibratorputs out a continuous sequence of pulses

5V

Ra

C

0.01u

F

LED

NE555

2

5

3

7

64 8

1TR

CV

Q

DIS

THRR

VC

CG

ND

Rb

5V

12

1K

0.01u

F

C

R

LED

NE555

2

5

3

7

6

4 81

TR

CV

Q

DIS

THR

R

VC

CG

ND

Monostable Multivibrator(or one-shot) puts out one pulse each time the switch is connected

Monostable Multivibrator (One Shot)

+V

-V

-

+

+V

-V

-

+R

S

Q

Q

3

4

1

7

2

6

8

R

R

R

Control Flip-FlopTrigger Comparator

Threshold Comparator

Output

ResetVcc

Trigger

Monstable MultivibratorOne-Shot

C

Ra

cc

2V

3

cc

1V

3

Behavior of the Monostable Multivibrator• The monostable multivibrator is constructed by adding an

external capacitor and resistor to a 555 timer.

• The circuit generates a single pulse of desired duration when it receives a trigger signal, hence it is also called a one-shot.

• The time constant of the

resistor-capacitor

combination determines

the length of the pulse.

– Used to generate a clean pulse of the correct height and duration for a digital system

– Used to turn circuits or external components on or off for a specific length of time.

– Used to generate delays.

– Can be cascaded to create a variety of sequential timing pulses. These pulses can allow you to time and sequence a number of related operations.

Uses of the Monostable Multivibrator

Astable Pulse-Train Generator (Multivibrator)

+V

-V

-

+

+V

-V

-

+R

S

Q

Q

3

4

1

7

2

6

8

R

R

R

Control Flip-FlopTrigger Comparator

Threshold Comparator

Output

Vcc

Astable Pulse-Train Generator

C

R1

R2

Behavior of the Astable Multivibrator• The astable multivibrator is simply an oscillator. The astable

multivibrator generates a continuous stream of rectangular off-on pulses that switch between two voltage levels.

• The frequency of the pulses and their duty cycle are dependent upon the RC network values.

• The capacitor C charges through the series resistors R1 and R2

with a time constant

(R1 + R2)C.

• The capacitor discharges

through R2 with a time

constant of R2C

– Flashing LED’s

– Pulse Width Modulation

– Pulse Position Modulation

– Periodic Timers

Uses of the Astable Multivibrator

Flashing LED’s

• 40 LED bicycle light with 20 LEDs flashing alternately at 4.7Hz

Understanding the Astable Mode Circuit

• 555-Timers, like op-amps can be configured in different ways to create different circuits. This one creates a train of equal pulses, as shown at the output.

• Capacitor C1 is charged up by current flowing through R1

• As the capacitor charges up, its voltage increases and the current charging it decreases

VV V

R1

1k

U2

TOPEN = 01

2C1

1uF

U1

TCLOSE = 0

1 2

0

V1

10V

IV V

R

V

k

CAPACITOR CAPACITOR

1

1

10

1

T i m e

0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s

V ( U 2 : 1 ) V ( R 1 : 2 ) V ( V 1 : + )

0 V

2 V

4 V

6 V

8 V

1 0 V

C a p a c i t o r V o l t a g e

• Capacitor Current

• Capacitor Voltage

• Where the time constant

T i m e

0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s

I ( R 1 ) I ( C 1 )

0 A

2 m A

4 m A

6 m A

8 m A

1 0 m A

C a p a c i t o r a n d R e s i s t o r C u r r e n t

T i m e

0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s

V ( U 2 : 1 ) V ( R 1 : 2 ) V ( V 1 : + )

0 V

2 V

4 V

6 V

8 V

1 0 V

C a p a c i t o r V o l t a g e

I I eo

t

V V eo

t

1

RC R C ms1 1 1

• Note that the voltage rises to a little above 6V in 1ms.

T i m e

0 s 1 m s 2 m s 3 m s 4 m s 5 m s 6 m s 7 m s 8 m s 9 m s 1 0 m s

V ( U 2 : 1 ) V ( R 1 : 2 ) V ( V 1 : + )

0 V

2 V

4 V

6 V

8 V

1 0 V

C a p a c i t o r V o l t a g e

( ) .1 6321 e

555 Timer

• At the beginning of the cycle, C1 is charged through resistors R1 and R2. The charging time constant is

• The voltage reaches (2/3)Vcc in a time

1)21(693.01arg CRRTt ech

1)21(arg CRRech

555 Timer

• When the voltage on the capacitor reaches (2/3)Vcc, a switch (the transistor) is closed (grounded) at pin 7.

• The capacitor is discharged to (1/3)Vcc through R2 to ground, at which time the switch is opened and the cycle starts over.

1)2(arg CRedisch

1)2(693.02arg CRTt edisch

555 Timer

• The frequency is then given by

fR R C R R C

1

0 693 1 2 2 1

144

1 2 2 1. ( )

.

( )

PWM: Pulse Width Modulation

• Signal is compared to a sawtooth wave producing a pulse width proportional to amplitude

20 March 2007 Electronic Instrumentation 27

What Can Be Done With PWM?

• Question: What happens if voltages like the ones above are connected to a light bulb? Answer: The longer the duty cycle, the longer the light bulb is on and the brighter the light.

Low

Duty Cycle

Medium

Duty Cycle

High

Duty Cycle

20 March 2007 Electronic Instrumentation 28

What Can Be Done With PWM?

• Average power can be controlled• Average flows can also be controlled by fully opening and

closing a valve with some duty cycle