Lab 2: AC Circuits and Oscilloscope

51
Lab 2: AC Circuits and Oscilloscope

Transcript of Lab 2: AC Circuits and Oscilloscope

Page 1: Lab 2: AC Circuits and Oscilloscope

Lab 2: AC Circuits and Oscilloscope

Page 2: Lab 2: AC Circuits and Oscilloscope

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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•• •

• ••

•• •

•• •

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SAMPLING BANDWIDTH

••• •

••

•• •

•• •

• ••

•• •

•• •

Sample spacing: T (sec) Sampling bandwidth = 1 / T (samples/sec)

T

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SAMPLING BANDWIDTH

••• •

••

•• •

•• •

• ••

•• •

•• •

Sample spacing: T (sec) Sampling bandwidth = 1 / T (samples/sec)

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SAMPLING BANDWIDTH

• •

••

• •

••

Reduce sample bandwidth 2x Increase period 2x

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SAMPLING BANDWIDTH

• •

••

• •

••

Reduce sample bandwidth 2x Increase period 2x