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 The OpEL will close at 4:30PM on Thursday Nov 8.
 Week 9 is due next Wed (Nov 7) as usual.
 The make-up lab (photoflash)
is due Wed Nov 14.
1
As an Astable Multivibrator
2
3
 An integrated chip that is used in a wide variety of
circuits to generate square wave and triangular
shaped single and periodic pulses.
◦ Examples in your home are
 high efficiency LED and fluorescence light dimmers and
 temperature control systems for electric stoves
 tone generators for appliance “beeps”
◦ The Application Notes section of the datasheets for the
TLC555 and LM555 timers have a number of other circuits
that are in use today in various communications and
control circuits.
4
 Astable – a circuit that can not remain in one state.
 Monostable – a circuit that has one stable state. When
perturbed, the circuit will return to the stable state.
 One Shot – Monostable circuit that produces one pulse when
triggered.
 Flip Flop – a digital circuit that flips or toggles between two
stable states (bistable). The Flip Flop inputs decide which of the
two states its output will be.
 Multivibrator – a circuit used to implement a simple two-state
system, which may be astable, monostable, or bistable.
 CMOS – complimentary Mosfet logic. CMOS logic dominates the
digital industry because the power requirements and
component density are significantly better than other
technologies.
5
 Monostable
◦ A single pulse is outputted when an input voltage attached
to the trigger pin of the 555 timer equals the voltage on the
threshold pin.
 Astable
◦ A periodic square wave is generated by the 555 timer.
 The voltage for the trigger and threshold pins is the voltage
across a capacitor that is charged and discharged through two
different RC networks.
I know – who comes
up with these names?
6
 We will operate the 555 Timer as an Astable
Multivibrator in the circuit for the metronome.
http://www.williamson-labs.com/480_555.htm7
http://www.williamson-labs.com/480_555.htm
The components that
make up a 555 timer are
shown within the gray
box.
Internal resistors form a
voltage divider that
provides ⅓VCC and ⅔ VCC
reference voltages.
Two internal voltage
comparators determine
the state of a D flip-flop.
The flip-flop output
controls a transistor
switch.
8
 As a reminder, an Op Amp without a feedback
component is a voltage comparator.
◦ Output voltage changes to force the negative input voltage
to equal the positive input voltage.
 A maximum output voltage (Vo) is against the positive supply
rail (V+) if the positive input voltage (v2) is greater than
negative input voltage (v1).
 A minimum output voltage (Vo) is is against the negative supply
rail (V-) if the negative input voltage (v1) is greater than the
positive input voltage (v2).
9
http://www.williamson-labs.com/480_555.htm
The voltage comparators use
the internal voltage divider to
keep the capacitor voltage (VC)
between ⅓VCC and ⅔VCC.
The output of the lower
voltage comparator will be
high (Vcc) when VC < ⅓VCC,
and low (0 V) when VC > ⅓VCC
(⅓VCC = the voltage across the
lower resistor in the internal
voltage divider).
The output of the upper
voltage comparator will be
low (0 V) when VC < ⅔VCC, and
high (Vcc) when VC > ⅔VCC
(⅔VCC = the voltage across the two
lower resistors in the internal
voltage divider).
10
http://www.williamson-labs.com/480_555.htm
The bipolar
transistor (BJT)
acts as a switch.
NOTE: Your kit
TLC555 uses a
MOSFET instead
of a BJT.
11
• As you will learn in ECE 2204, a BJT or MOSFET
transistor can be connected to act like a switch.
– When a positive voltage is applied to the base or gate, the
transistor acts like there is a very small resistor is between
the collector and the emitter, or the drain and the source.
– When ground is applied to the base or gate, the transistor
acts like there is a an open circuit between the collector
and the emitter, or the drain and the source.
12
http://www.williamson-labs.com/480_555.htm
The transistor inside the 555
switches the discharge pin (7)
to ground (or very close to 0
V), when Qbar (the Q with a
line over it) of the D flip-flop is
high (VQbar ≈ VCC).
The transistor grounds the
node between external timing
resistors Ra and Rb. The
capacitor discharges through
Rb to ground through the
transistor. Current through Ra
also goes to ground through the
transistor.
When the transistor is
switched off, it acts like an
open circuit. VCC now charges
the capacitor through Ra and
Rb.
13
 The capacitor
charges through
RA and RB.
◦ Because VC started 0 V,
the first timing period
will be longer than the
periods that follow.
14
 The capacitor charges through
Ra and Rb until VC= ⅔VCC.
15
 When VC reaches ⅔VCC, the output of the
upper voltage comparator changes and
resets the D flip-flop, Qbar switches to
high (≈ VCC), and the transistor switches
on.
 The capacitor then begins discharging
through Rb & the transistor to ground.
Discharging:
The capacitor discharges
through Rb and the transistor
to ground.
Current through Ra is also
grounded by the transistor.
 When VC reaches ⅓VCC, the
output of the lower voltage
comparator changes and
sets the D flip-flop, Qbar
switches to low (≈ 0 V),
and the transistor switches
off.
 The capacitor then begins
charging through Ra and Rb.http://www.williamson-labs.com/480_555.htm
Thus, the voltage of the capacitor can be no more than ⅔VCC and no less than
⅓VCC if all of the components internal and external to the 555 are ideal.
16
 The output of the 555 timer, pin 3, is
Q on the D flip-flop.
◦ When Qbar is 5 V and the
capacitor is charging, Q is 0 V.
◦ When Qbar is 0 V and the
capacitor is discharging, Q is 5 V.
 Thus, the output of a 555 timer is a
continuous square wave function (0
V to 5 V) where:
◦ the period is dependent the sum
of the time it takes to charge the
capacitor to ⅔VCC and the time
that it takes to discharge the
capacitor to ⅓VCC.
◦ In this circuit, the only time that
the duty cycle (the time that the
output is at 0 V divided by the
period) will be 0.5 (or 50%) is
when Ra = 0 W, which should not
be allowed to occur as that would
connect Vcc directly to ground
when the transistor switches on.
http://www.williamson-labs.com/480_555.htm
17
 TH is the time it takes C to charge from ⅓VCC to ⅔VCC
◦ TH = (Ra + Rb)*C*[-ln(½)] (from solving for the charge time between voltages)
 TL is the time it takes C to discharge from ⅔VCC to ⅓VCC
◦ TLow =Rb*C*[-ln(½)] (from solving for the charge time between voltages)
 The duty cycle (% of the time the output is high) depends on the
resistor values.
 Williamson Labs 555 astable circuit waveform animation
18
 The duty cycle of the standard 555 timer circuit in Astable mode must
be greater than 50%.
◦ Thigh = 0.693(Ra + Rb)C [C charges through Ra and Ra from VCC]
◦ Tlow = 0.693RbC [C discharges through Rb into pin 7 ]
◦ R1 must have a resistance value greater than zero to prevent the discharge
pin from directly shorting VDD to ground.
◦ Duty cycle = Thigh / (Thigh + Tlow) = (Ra + Rb) / (Ra + 2Rb) > 50% if Ra ≠ 0
 Adding a diode across Rb
allows the capacitor to charge
directly through Ra.
This sets Thigh ≈ 0.693RaC
Tlow = 0.693RbC (unchanged)
19
 TI Data Sheets and design info
◦ Data Sheet (pdf)
◦ Design Calculator (zip)
 Williamson Labs http://www.williamson-labs.com/480_555.htm
◦ Timer tutorials with a 555 astable circuit waveform animation.
◦ Philips App Note AN170 (pdf)
 Wikipedia - 555 timer IC
 NE555 Tutorials http://www.unitechelectronics.com/NE-555.htm
 Doctronics 555 timer tips http://www.doctronics.co.uk/555.htm
 The Electronics Club http://www.kpsec.freeuk.com/555timer.htm
 555 Timer Circuits http://www.555-timer-circuits.com
 555 Timer Tutorial http://www.sentex.net/~mec1995/gadgets/555/555.html
 Philips App Note AN170 http://www.doctronics.co.uk/pdf_files/555an.pdf
20
Using a 555 Timer
21
 Emits regular sounds, usually a single frequency
tone, beat, or click, which instrument players and
singers use to count the meter or tempo of a piece of
music.
 The repetition rate of the sound from a metronome
can be adjusted by the musician.
◦ The typical range is from 40 to 200 beats per minute
(bpm), which translates to a frequency of 0.667 to 3.33Hz.
22
The value of C must be changed
23
50u
If you have a kit from 2010 with
no speaker, see an OpEL GTA to
obtain one.
Note new value
24
 Time constants of two different resistor-capacitor
networks determine the length of time the timer
output, t1 and t2, is at 5V and 0V, respectively.
CRt
CRRt
b
ba
)(693.0
)(693.0
2
1


25
 Fixed Capacitors
◦ Nonpolarized
 May be connected into circuit with either terminal of capacitor
connected to the high voltage side of the circuit.
 Insulator: Paper, Mica, Ceramic, Polymer
◦ Electrolytic
 The negative terminal must always be at a lower voltage than
the positive terminal
 Plates or Electrodes: Aluminum, Tantalum
26
 It’s difficult to make nonpolarized capacitors that
store a large amount of charge or operate at high
voltages.
◦ Tolerance on capacitance values is very large
 +50%/-25% is not unusual
http://www.marvac.com/fun/ceramic_capacitor_codes.aspx
PSpice Symbol
27
Pspice Symbols Fabrication
http://www.digitivity.com/articles/2008/11/choosing-the-right-capacitor.html
28
 The negative electrode must always be at a lower
voltage than the positive electrode.
◦ So in your circuit, the negative electrode must be grounded.
29
ba
b
ba
RR
R
tt
t
D
CRRtt
f
2
)2(
44.11
21
2
21








When the output of the 555 timer changes from 5V to 0V, a pulse current will flow
through the speaker, causing the speaker to create a click sound. You will change the
frequency of the pulses to the speaker by changing the value of Ra. Since Ra is
usually much larger than Rb, the frequency of the pulses are linearly proportional to
the value of Ra and the duty cycle of the pulse waveform will be very short.
30
 A portion of the LM555 timer datasheet is shown below
(NOTE: the MOSFET switch is more efficient than the BJT switch, and TCL555 data sheet
is different! The TLC555’s ISINK is much higher than the LM555’s ISINK.)
31
 When a component sinks current at its output, current is
defined as positive when entering the component from
the external circuitry.
 When a component sources current at its output,
current is defined as positive when it leaves the
component and flows into the external circuitry.
◦ In a 555 timer, the output voltage is limited to 0 V & Vcc, which is
+5 V in the circuit for our experiment.
◦ In the metronome circuit, current only flows when the output
voltage is less than Vcc, which forces current to flow into the 555
timer at the output terminal.
 The 555 timer will sink current.
 The 200 W resistor acts as a current limiting resistor to insure that the
current sinking into the 555 timer will not exceed the maximum
current allowed according to the datasheet.
32
 Electromagnet generates a
magnetic field that causes
the diagram to change
position based upon the
magnitude of the current
through the voice coil.
◦ We hear sound when the
diaphragm moves , which
only occurs when the
current through the voice
coil changes.
 0.5W speaker with 8 W
equivalent impedance.
◦ 5 V/8 W = 0.625 A to produce full
power (vs. the ISINK available!)
http://en.wikipedia.org/wiki/Loudspeaker
33
 Is requested in the laboratory procedure. However,
the value of the capacitor used in this experiment is
beyond the capability of the DMM.
◦ Ignore this step.
34
 The ground for the arbitrary function generator and
both channels of the Velleman oscilloscope are
connected and are tied to earth ground.
◦ To determine the voltage across the speaker and the
current flowing through it will require some thought.
 [The Digilent Analog Discovery uses differential scope inputs, which are
isolated from the ground.]
35
 If you place the red probe where the
current marker is in this schematic and
the black probe at the output of the 555
timer (pin 3), you will force the output
voltage of the 555 to be 0 V.
◦ You will not see a square wave output
from the 555 timer.
 Similarly, you can not put the red probe
between the 200 W resistor and the 555
and the black probe between the 200 W
resistor and the speaker because you will
then force the node voltage between the
200 W resistor and the speaker to be
equal to 0 V.
◦ The square wave output from the LM
555 timer will only be dropped across
the 200 W resistor and the speaker
will have a constant 5 V across it.
50u
36
Velleman
 If you place the red probe between the 200 W
resistor and the speaker and connect the black
probe to the ANDY board ground, then the
measurement displayed on the scope will be
the output voltage from the LM 555 timer plus
the voltage across the 200 W resistor.
◦ Alternatively, you can look at this
measurement as Vcc minus the voltage
dropped across the speaker.
 If you measure the voltage at the output of the
555 timer, you can use the Math functions to
obtain only the voltage across the 200 W
resistor. Then, divide the result by the
resistance to find the current.
◦ A similar technique can be used to
determine the voltage across the speaker.
37
38
Note:
The Digilent Analog Discovery uses differential
scope inputs, which are isolated from the ground.

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OpEL Lab Closing and Assignments

  • 1.  The OpEL will close at 4:30PM on Thursday Nov 8.  Week 9 is due next Wed (Nov 7) as usual.  The make-up lab (photoflash) is due Wed Nov 14. 1
  • 2. As an Astable Multivibrator 2
  • 3. 3
  • 4.  An integrated chip that is used in a wide variety of circuits to generate square wave and triangular shaped single and periodic pulses. ◦ Examples in your home are  high efficiency LED and fluorescence light dimmers and  temperature control systems for electric stoves  tone generators for appliance “beeps” ◦ The Application Notes section of the datasheets for the TLC555 and LM555 timers have a number of other circuits that are in use today in various communications and control circuits. 4
  • 5.  Astable – a circuit that can not remain in one state.  Monostable – a circuit that has one stable state. When perturbed, the circuit will return to the stable state.  One Shot – Monostable circuit that produces one pulse when triggered.  Flip Flop – a digital circuit that flips or toggles between two stable states (bistable). The Flip Flop inputs decide which of the two states its output will be.  Multivibrator – a circuit used to implement a simple two-state system, which may be astable, monostable, or bistable.  CMOS – complimentary Mosfet logic. CMOS logic dominates the digital industry because the power requirements and component density are significantly better than other technologies. 5
  • 6.  Monostable ◦ A single pulse is outputted when an input voltage attached to the trigger pin of the 555 timer equals the voltage on the threshold pin.  Astable ◦ A periodic square wave is generated by the 555 timer.  The voltage for the trigger and threshold pins is the voltage across a capacitor that is charged and discharged through two different RC networks. I know – who comes up with these names? 6
  • 7.  We will operate the 555 Timer as an Astable Multivibrator in the circuit for the metronome. http://www.williamson-labs.com/480_555.htm7
  • 8. http://www.williamson-labs.com/480_555.htm The components that make up a 555 timer are shown within the gray box. Internal resistors form a voltage divider that provides ⅓VCC and ⅔ VCC reference voltages. Two internal voltage comparators determine the state of a D flip-flop. The flip-flop output controls a transistor switch. 8
  • 9.  As a reminder, an Op Amp without a feedback component is a voltage comparator. ◦ Output voltage changes to force the negative input voltage to equal the positive input voltage.  A maximum output voltage (Vo) is against the positive supply rail (V+) if the positive input voltage (v2) is greater than negative input voltage (v1).  A minimum output voltage (Vo) is is against the negative supply rail (V-) if the negative input voltage (v1) is greater than the positive input voltage (v2). 9
  • 10. http://www.williamson-labs.com/480_555.htm The voltage comparators use the internal voltage divider to keep the capacitor voltage (VC) between ⅓VCC and ⅔VCC. The output of the lower voltage comparator will be high (Vcc) when VC < ⅓VCC, and low (0 V) when VC > ⅓VCC (⅓VCC = the voltage across the lower resistor in the internal voltage divider). The output of the upper voltage comparator will be low (0 V) when VC < ⅔VCC, and high (Vcc) when VC > ⅔VCC (⅔VCC = the voltage across the two lower resistors in the internal voltage divider). 10
  • 11. http://www.williamson-labs.com/480_555.htm The bipolar transistor (BJT) acts as a switch. NOTE: Your kit TLC555 uses a MOSFET instead of a BJT. 11
  • 12. • As you will learn in ECE 2204, a BJT or MOSFET transistor can be connected to act like a switch. – When a positive voltage is applied to the base or gate, the transistor acts like there is a very small resistor is between the collector and the emitter, or the drain and the source. – When ground is applied to the base or gate, the transistor acts like there is a an open circuit between the collector and the emitter, or the drain and the source. 12
  • 13. http://www.williamson-labs.com/480_555.htm The transistor inside the 555 switches the discharge pin (7) to ground (or very close to 0 V), when Qbar (the Q with a line over it) of the D flip-flop is high (VQbar ≈ VCC). The transistor grounds the node between external timing resistors Ra and Rb. The capacitor discharges through Rb to ground through the transistor. Current through Ra also goes to ground through the transistor. When the transistor is switched off, it acts like an open circuit. VCC now charges the capacitor through Ra and Rb. 13
  • 14.  The capacitor charges through RA and RB. ◦ Because VC started 0 V, the first timing period will be longer than the periods that follow. 14
  • 15.  The capacitor charges through Ra and Rb until VC= ⅔VCC. 15  When VC reaches ⅔VCC, the output of the upper voltage comparator changes and resets the D flip-flop, Qbar switches to high (≈ VCC), and the transistor switches on.  The capacitor then begins discharging through Rb & the transistor to ground.
  • 16. Discharging: The capacitor discharges through Rb and the transistor to ground. Current through Ra is also grounded by the transistor.  When VC reaches ⅓VCC, the output of the lower voltage comparator changes and sets the D flip-flop, Qbar switches to low (≈ 0 V), and the transistor switches off.  The capacitor then begins charging through Ra and Rb.http://www.williamson-labs.com/480_555.htm Thus, the voltage of the capacitor can be no more than ⅔VCC and no less than ⅓VCC if all of the components internal and external to the 555 are ideal. 16
  • 17.  The output of the 555 timer, pin 3, is Q on the D flip-flop. ◦ When Qbar is 5 V and the capacitor is charging, Q is 0 V. ◦ When Qbar is 0 V and the capacitor is discharging, Q is 5 V.  Thus, the output of a 555 timer is a continuous square wave function (0 V to 5 V) where: ◦ the period is dependent the sum of the time it takes to charge the capacitor to ⅔VCC and the time that it takes to discharge the capacitor to ⅓VCC. ◦ In this circuit, the only time that the duty cycle (the time that the output is at 0 V divided by the period) will be 0.5 (or 50%) is when Ra = 0 W, which should not be allowed to occur as that would connect Vcc directly to ground when the transistor switches on. http://www.williamson-labs.com/480_555.htm 17
  • 18.  TH is the time it takes C to charge from ⅓VCC to ⅔VCC ◦ TH = (Ra + Rb)*C*[-ln(½)] (from solving for the charge time between voltages)  TL is the time it takes C to discharge from ⅔VCC to ⅓VCC ◦ TLow =Rb*C*[-ln(½)] (from solving for the charge time between voltages)  The duty cycle (% of the time the output is high) depends on the resistor values.  Williamson Labs 555 astable circuit waveform animation 18
  • 19.  The duty cycle of the standard 555 timer circuit in Astable mode must be greater than 50%. ◦ Thigh = 0.693(Ra + Rb)C [C charges through Ra and Ra from VCC] ◦ Tlow = 0.693RbC [C discharges through Rb into pin 7 ] ◦ R1 must have a resistance value greater than zero to prevent the discharge pin from directly shorting VDD to ground. ◦ Duty cycle = Thigh / (Thigh + Tlow) = (Ra + Rb) / (Ra + 2Rb) > 50% if Ra ≠ 0  Adding a diode across Rb allows the capacitor to charge directly through Ra. This sets Thigh ≈ 0.693RaC Tlow = 0.693RbC (unchanged) 19
  • 20.  TI Data Sheets and design info ◦ Data Sheet (pdf) ◦ Design Calculator (zip)  Williamson Labs http://www.williamson-labs.com/480_555.htm ◦ Timer tutorials with a 555 astable circuit waveform animation. ◦ Philips App Note AN170 (pdf)  Wikipedia - 555 timer IC  NE555 Tutorials http://www.unitechelectronics.com/NE-555.htm  Doctronics 555 timer tips http://www.doctronics.co.uk/555.htm  The Electronics Club http://www.kpsec.freeuk.com/555timer.htm  555 Timer Circuits http://www.555-timer-circuits.com  555 Timer Tutorial http://www.sentex.net/~mec1995/gadgets/555/555.html  Philips App Note AN170 http://www.doctronics.co.uk/pdf_files/555an.pdf 20
  • 21. Using a 555 Timer 21
  • 22.  Emits regular sounds, usually a single frequency tone, beat, or click, which instrument players and singers use to count the meter or tempo of a piece of music.  The repetition rate of the sound from a metronome can be adjusted by the musician. ◦ The typical range is from 40 to 200 beats per minute (bpm), which translates to a frequency of 0.667 to 3.33Hz. 22
  • 23. The value of C must be changed 23
  • 24. 50u If you have a kit from 2010 with no speaker, see an OpEL GTA to obtain one. Note new value 24
  • 25.  Time constants of two different resistor-capacitor networks determine the length of time the timer output, t1 and t2, is at 5V and 0V, respectively. CRt CRRt b ba )(693.0 )(693.0 2 1   25
  • 26.  Fixed Capacitors ◦ Nonpolarized  May be connected into circuit with either terminal of capacitor connected to the high voltage side of the circuit.  Insulator: Paper, Mica, Ceramic, Polymer ◦ Electrolytic  The negative terminal must always be at a lower voltage than the positive terminal  Plates or Electrodes: Aluminum, Tantalum 26
  • 27.  It’s difficult to make nonpolarized capacitors that store a large amount of charge or operate at high voltages. ◦ Tolerance on capacitance values is very large  +50%/-25% is not unusual http://www.marvac.com/fun/ceramic_capacitor_codes.aspx PSpice Symbol 27
  • 29.  The negative electrode must always be at a lower voltage than the positive electrode. ◦ So in your circuit, the negative electrode must be grounded. 29
  • 30. ba b ba RR R tt t D CRRtt f 2 )2( 44.11 21 2 21         When the output of the 555 timer changes from 5V to 0V, a pulse current will flow through the speaker, causing the speaker to create a click sound. You will change the frequency of the pulses to the speaker by changing the value of Ra. Since Ra is usually much larger than Rb, the frequency of the pulses are linearly proportional to the value of Ra and the duty cycle of the pulse waveform will be very short. 30
  • 31.  A portion of the LM555 timer datasheet is shown below (NOTE: the MOSFET switch is more efficient than the BJT switch, and TCL555 data sheet is different! The TLC555’s ISINK is much higher than the LM555’s ISINK.) 31
  • 32.  When a component sinks current at its output, current is defined as positive when entering the component from the external circuitry.  When a component sources current at its output, current is defined as positive when it leaves the component and flows into the external circuitry. ◦ In a 555 timer, the output voltage is limited to 0 V & Vcc, which is +5 V in the circuit for our experiment. ◦ In the metronome circuit, current only flows when the output voltage is less than Vcc, which forces current to flow into the 555 timer at the output terminal.  The 555 timer will sink current.  The 200 W resistor acts as a current limiting resistor to insure that the current sinking into the 555 timer will not exceed the maximum current allowed according to the datasheet. 32
  • 33.  Electromagnet generates a magnetic field that causes the diagram to change position based upon the magnitude of the current through the voice coil. ◦ We hear sound when the diaphragm moves , which only occurs when the current through the voice coil changes.  0.5W speaker with 8 W equivalent impedance. ◦ 5 V/8 W = 0.625 A to produce full power (vs. the ISINK available!) http://en.wikipedia.org/wiki/Loudspeaker 33
  • 34.  Is requested in the laboratory procedure. However, the value of the capacitor used in this experiment is beyond the capability of the DMM. ◦ Ignore this step. 34
  • 35.  The ground for the arbitrary function generator and both channels of the Velleman oscilloscope are connected and are tied to earth ground. ◦ To determine the voltage across the speaker and the current flowing through it will require some thought.  [The Digilent Analog Discovery uses differential scope inputs, which are isolated from the ground.] 35
  • 36.  If you place the red probe where the current marker is in this schematic and the black probe at the output of the 555 timer (pin 3), you will force the output voltage of the 555 to be 0 V. ◦ You will not see a square wave output from the 555 timer.  Similarly, you can not put the red probe between the 200 W resistor and the 555 and the black probe between the 200 W resistor and the speaker because you will then force the node voltage between the 200 W resistor and the speaker to be equal to 0 V. ◦ The square wave output from the LM 555 timer will only be dropped across the 200 W resistor and the speaker will have a constant 5 V across it. 50u 36 Velleman
  • 37.  If you place the red probe between the 200 W resistor and the speaker and connect the black probe to the ANDY board ground, then the measurement displayed on the scope will be the output voltage from the LM 555 timer plus the voltage across the 200 W resistor. ◦ Alternatively, you can look at this measurement as Vcc minus the voltage dropped across the speaker.  If you measure the voltage at the output of the 555 timer, you can use the Math functions to obtain only the voltage across the 200 W resistor. Then, divide the result by the resistance to find the current. ◦ A similar technique can be used to determine the voltage across the speaker. 37
  • 38. 38 Note: The Digilent Analog Discovery uses differential scope inputs, which are isolated from the ground.