Differential Amplifier: Principles and Applications in Electronics, Lecture notes of Electronics

Lesson 5 of Electronic Circuits

Typology: Lecture notes

2019/2020

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DIFFERENTIAL AMPLIFIER
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DIFFERENTIAL AMPLIFIER

DIFFERENTIAL AMPLIFIER

๏ƒ’ Differential Amplifier ๏ƒ‰ two CE stages in parallel with a common emitter resistor ๏ƒ‰ two input voltages: v 1 (non-inverting) and v 2 (inverting) ๏ƒ‰ two collector voltages ๏ƒ‰ no lower cut-off frequency ๏ƒ‰ differential output: v out = v c

  • v c ๏ƒ‰ differential input: v out

= A

V (v 1

  • v2)

DIFFERENTIAL AMPLIFIER

๏ƒ’ Non-inverting Input and a Differential Output ๏ƒ‰ v out

= A

V

(V

1

๏ƒ’ Non-inverting Input and a Single-ended Output ๏ƒ‰ v ou t = A V

(V

1 ) but A V will be half as much

DIFFERENTIAL AMPLIFIER

๏ƒ’ Inverting Input and Differential Output ๏ƒ‰ v out

= - A

V (v 2

๏ƒ’ Inverting Input and Single-ended Output ๏ƒ‰ v out

= - A

V (v 2 ) but voltage gain will be half as much

DIFFERENTIAL AMPLIFIER

๏ƒ’ DC Analysis Second Approximation

๏ƒ‰ I

T

= (V

EE

โ€“ V

BE

) / R

E

๏ƒ‰ Effect of Base Resistors: IT = (VEE-VBE)/ RE + RB/2๏ขdc)

DIFFERENTIAL AMPLIFIER

Example: Calculate the currents and voltages

using ideal and second approximations.

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Single-Ended Output Gain ๏ƒ‰ each transistor has an r e ๏ƒ‰ the biasing resistor R E is in parallel with the r e of the right transistor ๏ƒ‰ R E is much greater than r e

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Simplified Equivalent Circuit ๏ƒ‰ input voltage v i across the first r e is in series with the second r e ๏ƒ‰ ac voltage across the tail resistor is half of the input voltage

๏ƒ‰ Single-ended output: A

V

=R

C

/2r

e

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Inverting-Input Configurations

๏ƒ‰ the inverting input v

2

produces an amplified and

inverted ac voltage at the final output

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Differential-Input Configurations

๏ƒ‰ both inputs are active at the same time

๏ƒ‰ Differential Input: A

V

(v

1

  • v 2

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Input Impedance

๏ƒ‰ In CE stage: z

in

= ๏ขr

e

๏ƒ‰ In a differential amplifier: z

in

= 2๏ขr

e

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Example: What is the ac output voltage? If

๏ข=300, what is the input impedance of the

differential amplifier?

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Common-Mode Gain ๏ƒ‰ same input voltage, v in(cm) is being applied to each base ๏ƒ‰ common mode signal ๏ƒ‰ differential amplifier does not amplify common-mode signals

AC ANALYSIS OF A DIFFERENTIAL AMPLIFIER

๏ƒ’ Equivalent Circuit

๏ƒ‰ since equal voltages v

in(cm)

drive both inputs

simultaneously, there is almost no current through

the wire between the emitters