Ideal Op-Amp Equivalent Circuit
Ideal Op-Amp Characteristics
1. Internal differential gain Aod is infinite.
2. Differential input voltage (v2-v1) is zero.
3. Effective input resistance is infinite.
4. Output resistance is zero so output voltage is
connected directly to dependent voltage
source.
Equivalent Circuit of Op-Amp
Inverting Op-Amp
Input is applied
to the inverting input
Output is 180
out of phase
than the input
Advantage:
Can work as an amplifier or an attenuator.
Dis-advantage:
Low/medium input impedance (depends of resistor selection,
demands considerable current from input Vi).
Inverting Op-Amp with T-Network
R3 R3
R2
Av (1
)
R1
R4 R2
Advantage of T-network: Larger gain than a single resistor,
while achieving lower noise.
Inverting Op-Amp with Finite
Differential-Mode Gain
~1
Av
R2
R1
1
R2
1
[1
(1 )]
Aod
R1
Op-Amp based Summing Amplifier
(inverting summing amplifier)
vO (
RF
R
R
vI1 F vI 2 F vI 3 )
R1
R2
R3
Op-Amp based Summing Amplifier
(compound summing amplifier)
Gets inverted
at the output
Doesnt get
inverted
at the output
Noninverting Op-Amp
Output is in phase
with the input
Input is applied
to the non-inverting input
Equivalent circuit
Advantage:
High input impedance (doesnt demand large current from input Vi)
Dis-advantage:
Gain is always greater or equal to 1.
Unity gain amplifier (gain=1)/
Voltage Follower/ Voltage buffer
vO
RL
v I R L RS
Advantage:
Suitable if source is high impedance.
Purpose:
Isolates the input source from loading
(avoids drawing excessive current from the source).
Current-to-Voltage Converter
(Current input and voltage output)
Low output impedance
(suitable for driving alarge/
required/ on-demand load current,
while maintaining proportional
output voltage with an input current)
Voltage-to-Current Converter
(output I is proportional to input V)
Principle: Maintains a constant
voltage across R3
Applications:
LED driver.
Physiotherapy equipment.
Op-Amp Difference Amplifier
Generally,
we keep R1=R3 and R2=R4
for better common mode
Rejection performance.
Inverting amplifier
Non-inverting amplifier
Gain of Difference Amplifier
Common mode rejection ratio
(CMRR)
Common mode gain
Common mode voltage
Instrumentation Amplifier
High input impedance
Gain control
using one resistor
Low output
impedance
Op-Amp Integrator
Op-Amp Differentiator
Precision Half-Wave Rectifier
Log and Antilog Amplifiers
Antilog Amplifier
(exponential)
Log Amplifier
Signal Multiplier
v1
Log
Amplifier
v2
Log
Amplifier
ln v1
ln v1+ln v2
Summing
Amplifier
ln v2
Anti-Log
Amplifier
v1.v2
Op-Amp Voltage Reference Circuit
Applications:
Bias generation for amplifiers or sensors.
Range selection in analog-to-digital and digital-to-analog converters