lab 2: ac circuits and oscilloscope
TRANSCRIPT
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Lab 2: AC Circuits and Oscilloscope
![Page 2: Lab 2: AC Circuits and Oscilloscope](https://reader034.vdocuments.net/reader034/viewer/2022042109/625705eed6a1c5372c0308b6/html5/thumbnails/2.jpg)
Ideal meters
V
I
Imeter 0VOLTMETER:
EXAMPLE: 10X oscilloscope probe
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Ideal meters
V
I
Imeter 0
+ _
V
VOLTMETER:
AAMMMETER:
Vmeter 0
EXAMPLE: 10X oscilloscope probe
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Power Dissipation
I
+ _V
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Power Dissipation
I
+ _V
Power dissipated
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AC (alternating current) circuits
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Current flow
AC (alternating current) circuits
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AC (alternating current) circuits
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Current flow
AC (alternating current) circuits
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Square wave source
VOLTAGE t
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Square wave source
VOLTAGE
CURRENT
t
t
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Square wave source +
t
V
0
+ 0.5 V
− 0.5 V
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Square wave source + voltage offset
1 V
1 V
t
1.5 V
0.5 V
0
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Square wave source + voltage offset
1 V
1 V
t
−0.5 V
−1.5 V
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Square wave source + voltage offset
1 V
0.5 V
t
1.0 V
0
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Triangle wave source
VOLTAGE
CURRENT
t
t
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Sinusoidal wave source + dc offset
Vdc
Vdc
0
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Characterizing an AC wave
Peak
Peak-to-peak
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The average voltage of a pure sine wave is identically zero.
V(t) = Vp sin (ωt)
t
+Vp
−Vp
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We know that an AC voltage can deliver plenty of power to a load
current
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current
We know that an AC voltage can deliver plenty of power to a load
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current
We know that an AC voltage can deliver plenty of power to a load
How do we calculate this power if the average voltage and current is zero?
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POWER =
This is easy in a DC circuit: Use Ohm's Law
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Power dissipated in an AC circuit is time dependent:
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What is the energy delivered in one period?Temporally integrate the power over one period:
DC power dissipation =
AC power dissipation =
AC voltage producing power dissipation equivalent
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• An RMS measurement assumes a stable, periodic signal
• Characterized by a single value of voltage, current
• Measured with a multimeter or oscilloscope
The situation is often not that convenient!
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TIME
VO
LTA
GE
DISPLAY
• • • •
CONTROLS
INPUTS
OSCILLOSCOPE
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DISPLAY
• • • •
CONTROLS
INPUTS
OSCILLOSCOPE
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ANALOG: Cathode ray tube, swept electron beam
DIGITAL: A/D converter, LCD display
Although physical operation is completely different, controls are nearly identical
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• • • •
CONTROLS
DISPLAY ADJUSTMENT
VOLTS/DIV•
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• • • •
CONTROLS
DISPLAY ADJUSTMENT
VOLTS/DIV•
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• • • •
CONTROLS
DISPLAY ADJUSTMENT
SEC/DIV•
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• • • •
CONTROLS
DISPLAY ADJUSTMENT
SEC/DIV•
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DISPLAY
• • • •
CONTROLS
DC coupling, AC coupling, and Ground
DC
AC
GND
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EXAMPLE: Sinusoidal wave source + DC offset
VDC
VDC
0
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• • • •
DC COUPLING
Ground
Offset
CONTROLS
DC
AC
GND
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• • • •
AC COUPLING
CONTROLS
DC
AC
GND
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• • • •
GROUND: Defines location of 0 Volts
CONTROLS
DC
AC
GND
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• • • •
GROUND can be positionedat any convenient level
CONTROLS
DC
AC
GND
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• • • •
Why bother with AC couplingwhen DC coupling shows everything?
Ground
CONTROLS
DC
AC
GND
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• • • •
Often we have very weak modulationof a DC signal
Ground
CONTROLS
DC
AC
GND
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• • • •
AC couple and change the vertical scale
CONTROLS
DC
AC
GND
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Auto: Scope gives continually updated display
Normal: User controls when the slope triggers; Level, Slope Trigger source: Channel 1, Channel 2, etc
Line: Triggers on 60 Hz AC
Single event
External
Use Auto-Set only when all else fails!
TRIGGERING
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• • • •
TRIGGER LEVEL
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• • • •
Example: Measure fall time of square wave
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• • • •
SOLUTION: Trigger on negative slope
Pre-triggerdata
Post-triggerdata
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SAMPLING BANDWIDTH
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SAMPLING BANDWIDTH
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Sample spacing: T (sec) Sampling bandwidth = 1 / T (samples/sec)
T
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SAMPLING BANDWIDTH
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Sample spacing: T (sec) Sampling bandwidth = 1 / T (samples/sec)
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SAMPLING BANDWIDTH
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Reduce sample bandwidth 2x Increase period 2x
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SAMPLING BANDWIDTH
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Reduce sample bandwidth 2x Increase period 2x