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Lecture (07)BJT Amplifiers cont.,
By:
Dr. Ahmed ElShafee
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II1
THE COMMON‐COLLECTOR AMPLIFIER• An emitter‐follower circuit with voltage‐divider bias is shown
in Figure, the input signal is capacitively coupled to the base, the output signal is capacitively coupled from the emitter, and the collector is at ac ground. There is no phase inversion,
• the output is approximately the same amplitude as the input
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II2
gain
• The capacitive reactances are assumed to be negligible at the frequency of operation.
• where Re is the parallel combination of RE and RL
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II3
• If there is no load, then Re RE.
• .
• Since the output voltage is at the emitter, it is in phase with the base voltage, so there is no inversion from input to output.
• Because there is no inversion and because the voltage gain is approximately 1, the output voltage closely follows the input voltage in both phase and amplitude; thus the term emitter‐follower.Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II4
Input Resistance
• The emitter‐follower is characterized by a high input resistance; this is what makes it a useful circuit. Because of the high input resistance, it can be used as a buffer to minimize loading effects when a circuit is driving a low‐resistance load.
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Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II5
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Output Resistance
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Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II7
Current Gain
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Power Gain
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Example 01
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The Darlington Pair
• βac is a major factor in determining the input resistance of an amplifier.
• One way to boost input resistance is to use a Darlington pair
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II14
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• Neglecting r’e
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Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II15
• An Application The emitter‐follower is often used as an interface between a circuit with a high output resistance and a low‐resistance load.
• In such an application, the emitter follower is called a buffer.
• Suppose a common‐emitter amplifier with a collector resistance 1k ohm, must drive a low‐resistance load such as an 8 ohm low‐power speaker.
• This results in an ac collector resistance of
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II16
• if the speaker is capacitively coupled to the output of the amplifier, the load appears8 ohm—to the ac signal—in parallel with the collector resistor. 1k
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Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II17
• An emitter‐follower using a Darlington pair can be used to interface the amplifier and the speaker,
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II18
Example 02
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Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II19
• (a) Determine the voltage gain of the common‐emitter amplifier
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II20
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Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II21
• (b) Determine the voltage gain of the Darlington emitter‐follower.
• The effective ac emitter resistance was found in part (a) to be The voltage gain for the Darlington emitter‐follower is
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II22
• (c) Determine the overall voltage gain and compare to the gain of the common‐emitter amplifier driving the speaker directly without the Darlington emitter‐follower.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II23
The Sziklai Pair
• The Sziklai pair, is similar to the Darlington pair except that it consists of two types of transistors, an npn and a pnp.
• known as a complementary Darlington or a compound transistor
• The current gain is about the same as in the Darlington pair, as illustrated.
• The difference is that the Q2 base current is the Q1 collector current instead of emitter current, as in the Darlington arrangement.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II24
• An advantage of the Sziklai pair, compared to the Darlington, is that it takes less voltage to turn it on because only one barrier potential has to be overcome.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II25
THE COMMON‐BASE AMPLIFIER
• The base is the common terminal and is at ac ground because of capacitor C2
• The input signal is capacitively coupled to the emitter.
• The output is capacitively coupled from the collector to a load resistor.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II26
Voltage Gain
• Vin = Ve, Vout = Vc
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Input Resistance
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Output Resistance
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Current Gain
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Power Gain
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Example 01
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Example 01
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Multistage Amplifier
• The overall voltage gain A’v, of cascaded amplifiers,
• Amplifier voltage gain is often expressed in decibels (dB) as follows:
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II35
• This is particularly useful in multistage systems because the overall voltage gain in dB is the sum of the individual voltage gains in dB
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II36
Example 02
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Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II37
• Av=10Avdb/20 = 10^(69.5/20)=2985.38
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II38
Capacitively‐Coupled Multistage Amplifier• we will use the two‐stage capacitively coupled amplifier in
Figure
• The output of the first stage capacitively coupled to the input of the second stage.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II39
• Capacitive coupling prevents the dc bias of one stage from affecting that of the other but allows the ac signal to pass without attenuation XC==0
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II40
Loading Effects
• the total input resistance of the second stage presents an ac load to the first stage.
• the effective ac collector resistance of Q1 is the total of all these resistances in parallel (R3, R5, R6, and Rin(base2))
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II41
• The ac collector resistance of the first stage is
• Therefore, the base‐to‐collector voltage gain of the first stage is
• Voltage Gain of the Second Stage; The second stage has no load resistor, so the ac collector resistance is R7, and the gain is
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II42
• Overall Voltage Gain
• If an input signal of 100uv , then output voltage is = (100 mV)(13,495) =1.35 V
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II43
DC Voltages in the CapacitivelyCoupled Multistage Amplifier• Since both stages are identical, the dc voltages for Q1 and Q2
are the same.
• βDCR4 >> R2, βDCR8 >> R6
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II44
Direct‐Coupled Multistage Amplifiers• no coupling or bypass capacitors in this circuit.
• The dc collector voltage of the first stage provides the base‐bias voltage for the second stage.
• Because of the direct coupling, this type of amplifier has a better low‐frequency response (Direct‐coupled amplifiers can be used to amplify low frequencies all the way down to dc (0 Hz) ) than the capacitively coupled.
• The increased reactance of capacitors at lower frequencies produces gain reduction in capacitively coupled amplifiers.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II45
differential amplifier (diff‐amp)
1. • when both inputs are grounded
(0 V), the emitters are at ‐0.7V.
• It is assumed that the transistors are identically matched by careful process control during manufacturing so that their dc emitter currents are the same when there is no input signal.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II46
• Since both collector currents and both collector resistors are equal
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II47
2• Next, input 2 is left grounded, and
a positive bias voltage is applied to input 1,
• The positive voltage on the base of Q1 increases IC1 and raises the emitter voltage to
• This action reduces the forward bias (VBE) of Q2 because its base is held at 0 V (ground), IC2 decrease
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II48
• increase in IC1 causes a decrease in VC1,
• and the decrease in IC2 causes an increase in VC2,
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II49
3• Finally, input 1 is grounded and a
positive bias voltage is applied to input 2.
• Applied VB2, increases IC2, decrease in VC2, VE2 voltage is raised.
• reduces the forward bias of Q1,
• decrease in IC1 causes VC1 to increase
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II50
Modes of Signal Operation
• Single‐Ended Differential Input:
• one input is grounded and the signal voltage is applied only to the other input,
• inverted, amplified signal voltage appears at output 1 as shown
• a signal voltage appears in phase at the emitter of Q1
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II51
• Q1 is common, emitter signal becomes an input to Q2, which functions as a common‐base amplifier at Q2 output 2; amplified noninverted signal.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II52
• In the case where the signal is applied to input 2 with input 1 grounded, an inverted, amplified signal voltage appears at output 2, noninverted, amplified signal appears at output 1.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II53
• Double‐Ended Differential Inputs:
• two opposite‐polarity (out‐of‐phase) signals are applied to the inputs
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II54
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• Common‐Mode Inputs: two signal voltages of the same phase, frequency, and amplitude are applied to the two inputs
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II56
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• This action is called common‐mode rejection.
• Common‐mode rejection means that this unwanted signal will not appear on the outputs and distort the desired signal.
• Common‐mode signals (noise) generally are the result of the pick‐up of radiated energy on the input lines from adjacent lines, the 50 Hz power line, or other sources.
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II58
Common‐Mode Rejection Ratio
• Desired signals appear on only one input or with opposite polarities on both input lines.
• These desired signals are amplified and appear on the outputs as previously discussed.
• Unwanted signals (noise) appearing with the same polarity on both input lines are essentially cancelled by the diff‐amp and do not appear on the outputs. The measure of an amplifier’s
• ability to reject common‐mode signals is a parameter called the CMRR (commonmode rejection ratio).
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II59
• Ideally, a diff‐amp provides a very high gain for desired signals (single‐ended or differential) and zero gain for common‐mode signals, practically is a very small value
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II60
Example 02
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Thanks,..
See you next week (ISA),…
Dr. Ahmed ElShafee, ACU : Fall 2019, Electronic Circuits II63