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Introduction to Amplifiers
Chapter Summary

All amplifiers have three fundamental properties, gain, input impedance, and output impedance. These properties can be represented using a general amplifier model like the one in Figure 8-1.


Figure 8-1. General amplifier model.

 The diamond shape in the amplifier model represents the gain of the circuit. Gain is a multiplier that exists between the input and output of a circuit. For example, a gain of 50 indicates that the output signal is fifty times as great as the input signal. There are three types of gain: voltage gain (), current gain (), and power gain ().

Technically, gain is a ratio of an output value to its corresponding input value. This definition is illustrated by the following relationships:

            

Since gain is a ratio of like values, it has no unit of measure. This point is demonstrated in Example 8.1 of the text.

 The above equations are misleading, because they imply that the gain of a circuit is determined by its input and output values. The gain of a circuit is actually determined by its component values. When the gain of a circuit has been calculated, it can be used to determine the output from the circuit for a specified input. This point is demonstrated in Example 8.2.

 A voltage amplifier is a circuit that is designed to provide a specific value of voltage gain. The general model for a voltage amplifier is shown in Figure 8-2. Note that the diamond has been modified to represent the product of the circuit voltage gain and the input signal voltage ().


Figure 8-2. Voltage amplifier model.

 When a signal source and load are connected to the voltage amplifier model, we get the circuit shown in Figure 8-3. Note that:

  • The amplifier input impedance () forms a voltage divider with the source resistance ()
  • The amplifier output impedance () forms a voltage divider with the load resistance ()

Also note the and are typically resistive in nature, so their values can be combined algebraically with and .

 The input and output voltage dividers affect the values of source and load voltage as follows:

        

The voltage-divider equations indicate that and . These relationships are demonstrated further in Examples 8.3 and 8.4 of the text.

Figure 8-3. Voltage amplifier with its source and load.

 The effective voltage gain of a circuit is the ratio of its load voltage to its source voltage. Since and , the effective voltage gain of a voltage amplifier is lower than the calculated voltage gain of the amplifier itself.

 The ideal voltage amplifier, if it could be constructed, would have the following characteristics (among others):

  • Infinite gain (if needed)
  • Infinite input impedance
  • Zero output impedance

With values of and , the input and output voltage dividers would be effectively eliminated, leaving and . As a result, the calculated and effective voltage gains of the circuit would be equal.

 

BJT Amplifier Configurations

There are three BJT amplifier configurations, each with its unique input/output characteristics. These amplifier configurations are shown in Figure 8.12 of the text. The characteristics of the three configurations can be summarized as shown in Table 8-1.

TABLE 8-1

 

 

 

Configuration

Input terminal

Output terminal

Characteristics

Common Emitter (CE)

Base

Collector

  • Midrange voltage and current gain
  • High power gain
  • Midrange input and output impedance
  • A 180° voltage phase shift from input to output

*Common Collector (CC)

Base

Emitter

  • Midrange current gain
  • Extremely low voltage gain (less than 1)
  • High input impedance
  • Low output impedance

Common Base (CB)

Emitter

Collector

  • Midrange voltage gain
  • Extremely low current gain (less than 1)
  • Low input impedance
  • High output impedance

*Also referred to as an emitter-follower.

 

To identify the configuration of any BJT amplifier, you simply identify the signal input and output terminals. The third terminal is the common terminal. This can be seen by comparing amplifiers listed in the table with their input and output terminals.

 

Amplifier Classifications

Amplifiers are classified according to their ability to deliver power to a load. The four primary classifications for BJT amplifiers are listed (along with their characteristics) in Table 8-2.

 Amplification is accomplished by transferring power from the amplifier’s dc power supply to the input signal. The ideal amplifier would deliver 100% of the power taken from its dc power supply to its input signal. This cannot happen in practice (at this point) because the components in the amplifier each dissipate some measurable amount of power. (See Figure 8.18 of the text.)

The efficiency of an amplifier is the percentage of the power drawn from the dc power supply that is actually delivered to the load. As shown in Table 8-2, each amplifier classification has a maximum theoretical efficiency rating.

TABLE 8-2

 

Classification

*Efficiency

Other characteristics

Class A

25 %

  • Normally contains a single transistor that conducts throughout 360° of the input signal cycle
  • Commonly used as small-signal amplifiers.

Class B

78.5 %

  • Contains two transistors that conduct during alternate half-cycles of the signal input.
  • Commonly used in higher-power applications, such as audio amplifiers.

Class AB

Slightly less than Class B

  • Contains two transistors, each conducting for slightly more than 180° of the input signal cycle.
  • Used in the same applications as Class B. However, it is not subject to a type of distortion common to Class B amplifiers.

Class C

99.9 %

  • Contains a single transistor that conducts for less than 180° of the input signal cycle.
  • Contains a parallel LC (inductive-capacitive) circuit
  • Provides an output that may contain significant distortion, so its use is limited.

*Maximum theoretical value. Actually efficiency values are significantly lower.

 

Decibels

Component and system spec sheets often list gain values in decibel form. A decibel (dB) is a ratio of output power to input power, equal to 10 times the common logarithm of that ratio. The dB power gain of an amplifier is found using

where . Example 8.7 of the text demonstrates the calculation of dB power gain.

 One benefit of representing gain in dB form is that very large (and small) values can be represented using few digits. (For example, a power gain of 1,000,000 is equal to 60 dB.) However, the drawback to using dB values is that they cannot be used in standard circuit calculations without first being converted back into standard numeric form. A dB power gain is converted to standard numeric form using

Once converted to standard numeric form, can be used (along with ) to calculate circuit output power, as demonstrated in Example 8.9 of the text.

 Another advantage of expressing gain in dB form is the fact that positive and negative dB values represent reciprocal gains and losses. For example, 3 dB represents a power gain of approximately 2, while – 3 dB represents a power loss of . This relationship can be stated mathematically as follows:

  • If x dB represents a power gain of y, then –x dB represents a power loss equal to .

The final advantage of expressing gain in dB form is the fact that multiple gains (and losses) are found by simply adding the individual dB values. For example, Figure 8-4 shows the block diagram for a two-stage amplifier. Note that the total dB power gain of the circuit equals the sum of the individual dB power gains.

Figure 8-4. dB gain values are additive.

 

 On some spec sheets, power values are listed in dBm form. A dBm value is a power value, referenced to 1 mW. Power, in dBm, is found using

Unlike standard dB values (which represent power ratios), a dBm value represents an actual power level. This concept is demonstrated in Examples 8.11 and 8.12 of the text.

Like power gain, voltage gain is often represented in dB form. The dB voltage gain of an amplifier is found using

where . The dB voltage gain of an amplifier is calculated as demonstrated in Example 8.13 of the text.

 When the dB voltage gain of a circuit changes, the dB power gain changes by the same factor (assuming that all other values remain constant). This relationship is expressed as



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