3. Op-amp are linier devise that have all the properties
required for nearly ideal DC amplification and are
therefore used extensively in signal conditioning,
filtering or to perform mathematical operation such as
add, subtract, integration and differentiation.
4. Ideal Op-Amp
Ideal op-amp is basically a three terminal devise which
consists of 2 high impedance input, one called the
inverting input marked with a negative or minus sign
(-) and the other one called the non-inverting input
marked with positive or plus sign (+).
The third terminal represents the op-amp output
which can both sink and source either a voltage or a
current
5. Block diagram of op-amp
+
-
Gain (A) RL
Rs
Vs
Amplifier loadSource
VL
VL = A. VsIdeally the output voltage is amplified version of the source or
6. From the source see an equivalent
resistance looking to the right or
can be drawn :
From the load see an equivalent
source looking to the left or can be
drawn :
Rs
+
-
Vs Rin
Vin VL
+
-
Rout
RL
A.Vin
Ideally Vin = Vs because Rin Ideally VL = A.Vin because Rout
7.
8. Schematic symbol op - amp
There are : 2 input : inverting input (+) and non – inverting input
1 output
2 terminal for power supply (+ and -)
9. Ideal op-amp characteristic
Rin = Vin = VS
Rout = 0 VL = A.Vin
Open loop gain (A) =
Open loop gain op-amp without positive or negative
feedback and for ideal amplifier the gain will be
infinite () but typical real value range from 20.000 to
200.000
11. Negative feedback
Negative Feedback is the process of "feeding back" a fraction of the
output signal back to the input, but to make the feedback negative, we
must feed it back to the negative or "inverting input" terminal of the
op-amp using an external Feedback Resistor called Rƒ.
This feedback connection between the output and the inverting input
terminal forces the differential input voltage towards zero
This effect produces a closed loop circuit to the amplifier resulting in
the gain of the amplifier now being called its Closed-loop Gain
This negative feedback results in the inverting input terminal having a
different signal on it than the actual input voltage as it will be the sum
of the input voltage plus the negative feedback voltage giving it the
label or term of a Summing Point.
We must therefore separate the real input signal from the inverting
input by using an Input Resistor, Rin
12. There are two very important rules to remember about
Inverting Amplifiers or any operational amplifier for that
matter and these are
1. No Current Flows into the Input Terminals
2. The Differential Input Voltage is Zero as V1 = V2 = 0
Then by using these two rules we can derive the equation
for calculating the closed-loop gain of an inverting
amplifier, using first principles
13. Negative sign means inverting amplifier
Keep on your mind:
This amplification
process limited by
power supply voltage !
14. Transresistance Amplifier Circuit
Another useful application of an inverting amplifier is
that of a "transresistance amplifier" circuit.
A Transresistance Amplifier also known as a
"transimpedance amplifier", is basically a current-to-
voltage converter (Current "in" and Voltage "out").
They can be used in low-power applications to convert
a very small current generated by a photo-diode or
photo-detecting device etc, into a usable output
voltage which is proportional to the input current as
shown
16. Non – Inverting Amplifier
In this configuration, the input voltage signal, ( Vin ) is
applied directly to the non-inverting ( + ) input
terminal which means that the output gain of the
amplifier becomes "Positive" in value in contrast to the
"Inverting Amplifier" circuit
The result of this is that the output signal is "in-phase"
with the input signal
19. Voltage Follower
If we made the feedback resistor, Rƒ equal to zero,
(Rƒ = 0), and resistor R2 equal to infinity, (R2 = ∞),
then the circuit would have a fixed gain of "1" as all the
output voltage would be present on the inverting input
terminal (negative feedback).
This would then produce a special type of the non-
inverting amplifier circuit called a Voltage Follower
or also called a "unity gain buffer"
21. Summing Amplifier
The Summing Amplifier is a very flexible circuit based
upon the standard Inverting Operational Amplifier
configuration that can be used for combining multiple
inputs
previously in the inverting amplifier tutorial that the
inverting amplifier has a single input voltage, ( Vin )
applied to the inverting input terminal. If we add more
input resistors to the input, each equal in value to the
original input resistor, Rin we end up with another
operational amplifier circuit called a Summing Amplifier
"summing inverter" or even a "voltage adder”
25. Differential Amplifier
If we connect signals to both of the inputs at the same time
producing another common type of operational amplifier
circuit called a Differential Amplifier.
by connecting one voltage signal (V1) onto one input
terminal and another voltage signal (V2) onto the other
input terminal the resultant output voltage (Vout) will be
proportional to the "Difference" between the two input
voltage signals of V1 and V2 .
Then differential amplifiers amplify the difference between
two voltages making this type of operational amplifier
circuit a Subtractor unlike a summing amplifier which
adds or sums together the input voltages. This type of
operational amplifier circuit is commonly known as a
Differential Amplifier configuration
27. If V1 = 0 then the op-amp became a non inverting amplifier. Vout for non inverting
amplifier is given as :
• If V2 = 0 then the op-amp function as inverting amplifier, Vout for inverting
amplifier is given as :
• The summing of Vout(a) and Vout(b) is given as :
• If R1 = R2 and R3 = R4 we find :
29. Op-amp integrator
if we were to change the purely resistive ( Rƒ )
feedback element of an inverting amplifier to that of a
frequency dependant impedance, ( Z ) type complex
element, such as a Capacitor, (C) . What would be the
effect on the output voltage?.
By replacing this feedback resistance with a capacitor
we now have an RC Network across the operational
amplifier producing an Op-amp Integrator