UNIVERSITY OF MASSACHUSETTS DARTMOUTH

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UNIVERSITY OF MASSACHUSETTS DARTMOUTH

DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING

ECE 201 CIRCUIT THEORY 1

PN JUNCTION DIODES AND APPLICATIONS

WHAT IS A PN JUNCTION DIODE?

A PN Junction diode is a 2-terminal semiconductor electronic On/Off switch that allows current flow in only one direction. The circuit symbol is shown below. The terminals are called the

Anode (A) and the Cathode (K). The state of the diode switch (open or closed) is determined by the polarity of the voltage across it.

Circuit Symbol and Typical Terminal Identification

Common types of Diode Packages

Figure 1. Some common Diode Packages

CIRCUIT BEHAVIOR OF THE PN JUNCTION DIODE

The behavior of electronic devices, such as the pn junction diode, can be described by their Volt-

Ampere, or (V-I) Characteristic. This is a plot of the current flowing through the device as a function of the voltage across the device. Since the resulting plot of the diode’s V-I Characteristic is not a straight line, the diode is referred to as a “non-linear” device. A typical V-I Characteristic for a pn junction diode is shown here.

Figure 2. A typical PN Junction diode V-I Characteristic

Through experimentation, the current through a diode as a function of the voltage across it can be mathematically modeled by the following “ diode equation ” i

I e

0

(

 v

V

T

-1) where i = the current through the diode in Amperes (A) v = the voltage across the diode from Anode (+) to Cathode (-) in volts

V

T

= 25 mv (25 X 10 -3 volts) at room temperature (25°C)

I

0

= a constant with units of current

η = a constant ranging from 1 to 2 depending upon the diode material

This representation does not account for the reverse breakdown region!

2

APPLICATION AS A RECTIFIER

Consider the circuit shown below.

XSC1

+

A

_

+

B

_

Ext T rig

+

_

V1

5 Vpk

1kHz

D1

1N4007GP

R1

1kΩ

Figure 3. A PN Junction Diode as a Half-Wave Rectifier

When the applied sinusoidal voltage is on its positive half – cycle, conventional current will want to flow in the clockwise direction (the direction of the arrow in the diode symbol) and the voltage polarity across the diode will be + on the Anode and – on the Cathode. This condition is known as “forward bias”. The diode will act as a short circuit and essentially all of the applied voltage will appear across the resistor R1. The applied voltage and the voltage across the resistor R1 are shown on the oscilloscope display below. Note that the resistor voltage is the “positive half – cycle” of the applied voltage, hence the circuit is called a “half – wave rectifier”.

Figure 4. Waveforms for the Half – Wave Rectifier circuit.

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If the diode was installed in the opposite direction, we would observe the following.

XSC1

+

A

_

+

B

_

Ext T rig

+

_

V1

5 Vpk

1kHz

D1

1N4007GP

R1

1kΩ

Figure 5. A “negative” Half – Wave Rectifier.

In each of the above circuits, the input signal, having an average value equal to zero was converted into a “unidirectional” signal having a non – zero average value. It can be shown that the average value of a “half – wave rectified” sinusoid having a maximum value of V m

has an average value (also known as the DC value) equal to

V average

V

DC

V m

4

ANOTHER RECTIFIER APPLICATION

The circuit shown below is a “full – wave” bridge rectifier.

XSC1

+

A

_

+

B

_

Ext T rig

+

_

V1

5 Vpk

1kHz

4

2 D3

1

3 MDA2502

R1

1kΩ

Figure 6. A Full – Wave Bridge Rectifier with the output waveform.

In this circuit, the output waveform consists of both half – cycles of the input voltage. The average value of the voltage across R1 will be

V average

V

DC

2 V m

This is twice the value of the half – wave case.

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AN IMPROVEMENT IN THE AVERAGE (DC) VALUE

The output voltages of the half -- wave and full – wave rectifiers have average values other than zero, but their instantaneous values, as seen on the waveforms, are not constant. One method to

“smooth – out” the voltage (make it look more like DC) is to install a capacitor in parallel with the load resistor R1. This “filter” capacitor will charge up to the maximum value of the output voltage during the time that the diode conducts, and will discharge into the load when the diode is off. If the time constant of the capacitor and load resistor is long when compared with the period of the rectified sinusoid, the capacitor discharge time is longer and the output voltage is smoother. This is shown in the circuits below.

XSC1

+

A

_

+

B

_

Ext T rig

+

_

V1

5 Vpk

1kHz

D1

+

3.536

-

1N4007GP

V

U2

AC 10MOhm

C1

2.2µF

R1

1kΩ

+

3.705

-

V

U1

DC 10MOhm

AC Input Voltage DC Output Voltage

Figure 7. Half – Wave Rectifier with a 2.2 μF Filter Capacitor.

6

XSC1

+

A

_

+

B

_

Ext T rig

+

_

V1

5 Vpk

1kHz

D1

+

3.536

-

1N4007GP

V

U2

AC 10MOhm

AC Input Voltage

C1

10µF

R1

1kΩ

+

4.165

-

V

U1

DC 10MOhm

DC Output Voltage

Figure 7. A Half – Wave Rectifier with a 10 μF Filter Capacitor.

The DC value of the output voltage increases and the waveform get s “smoother” when the value of the filter capacitor is increased.

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THE EXPERIMENT AND REQUIRED RESULTS

1.) Construct the Half – Wave Rectifier circuit shown in Figure 3 on your breadboard. When installing the diode, look for a “band” at one end of the package. That end is the Cathode (-).

2.) Apply a 5 V 1 kHz sine wave. Observe and record the input and output voltage waveforms.

Use your Digital Multimeter to measure the rms value of the input voltage and the DC level of the output voltage. Compare the measured values with the expected (calculated) values.

3.) Run a simulation of the circuit in MultiSim and compare your results. Comment on any differences and suggest a reason (or reasons) for any difference.

4 .) Install a 2.2μF capacitor across the resistor (watch the polarity signs). Observe and record the output voltage waveform. Measure the DC level of the output voltage using the Digital

Multimeter. Compare your results with a MultiSim simulation.

5.) Re peat Step 4 using a 10 μF capacitor.

6.) Construct the Full -- Wave Bridge Rectifier shown in Figure 6. Apply a 5 V 1 kHz sine wave and observe and record the output voltage waveform. Measure the DC level of the output voltage and compare with the expected (calculated) value.

7.) Compare your results with a MultiSim simulation. Can you account for any differences?

8.) Install a 10 μF capacitor across the resistor (again observing the polarity). Observe and record the output voltage waveform. Measure the DC level of the output voltage using the Digital

Multimeter. Compare your results with the MultiSim simulation.

REQUIRED RESULTS FOR EACH GROUP TO BE HANDED IN

Step 2

Step 3

Input and Output voltage waveforms

Measured and calculated values of rms input voltage and DC output voltage

MultiSim simulation

Step 4

Step 5

Output voltage waveform

Measured value of DC output voltage

MultiSim simulation

Output voltage waveform

Measured value of DC output voltage

MultiSim simulation

Step 6

Step 7

Step 8

Output voltage waveform

Measured and calculated value of DC output voltage

MultiSim simulation

Output voltage waveform

Measured value of DC output voltage

MultiSim simulation

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