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NATIONAL COLLEGE OF SCIENCE AND TECHNOLOGY
                     Amafel Building, Aguinaldo Highway Dasmariñas City, Cavite




                                     ASSIGNMENT # 1
                                  OPERATIONAL AMPLIFIER




Bani, Arviclyn C.                                                    July 26, 2011
Electronics 3/BSECE 41A1                                             Score:




                                    Engr. Grace Ramones
                                          Instructor
Operational Amplifiers

As well as resistors and capacitors, Operational Amplifiers, or Op-amps as they are more commonly
called, are one of the basic building blocks of Analogue Electronic Circuits.

Operational amplifiers are linear devices that have all the properties required for nearly ideal DC
amplification and are therefore used extensively in signal conditioning, filtering or to perform
mathematical operations such as add, subtract, integration and differentiation.

An ideal Operational Amplifier is basically a three-terminal device which consists of two high
impedance inputs, one called the Inverting Input, marked with a negative sign, ("-") and the other
one called the Non-inverting Input, marked with a positive plus sign ("+").

The third terminal represents the op-amps output port which can both sink and source either a
voltage or a current. In a linear operational amplifier, the output signal is the amplification factor,
known as the amplifiers gain (A) multiplied by the value of the input signal and depending on the
nature of these input and output signals, there can be four different classifications of operational
amplifier gain.

       Voltage – Voltage "in" and Voltage "out"

       Current – Current "in" and Current "out"

       Transconductance – Voltage "in" and Current "out"

       Transresistance – Current "in" and Voltage "out"
Equivalent Circuit for Operational Amplifiers




Characteristics of Operational Amplifiers

The Operational Amplifier, or Op-amp as it is most commonly called, is an ideal amplifier with
infinite Gain and Bandwidth when used in the Open-loop mode with typical d.c. gains of 100,000,
or 100dB.


The basic Op-amp construction is of a 3-terminal device, 2-inputs and 1-output.

An Operational Amplifier operates from either a dual positive (+V) and an corresponding
negative (-V) supply, or they can operate from a single DC supply voltage.

The two main laws associated with the operational amplifier are that it has an infinite input
impedance, (Z∞) resulting in "No current flowing into either of its two inputs" and zero input
offset voltage "V1 = V2".

An operational amplifier also has zero output impedance, (Z = 0).

Op-amps sense the difference between the voltage signals applied to their two input terminals
and then multiply it by some pre-determined Gain, (A).

This Gain, (A) is often referred to as the amplifiers "Open-loop Gain".
The Two Basic Operational Amplifier Circuits




Op-amps can be connected into two basic configurations, Inverting and Non-inverting.

The Open-loop gain called the Gain Bandwidth Product, or (GBP) can be very high and is a
measure of how good an amplifier is.

Very high GBP makes an operational amplifier circuit unstable as a micro volt input signal causes
the output voltage to swing into saturation.

By the use of a suitable feedback resistor, (Rf) the overall gain of the amplifier can be accurately
controlled.
Gain Bandwidth Product




For negative feedback, were the fed-back voltage is in "anti-phase" to the input the overall gain
of the amplifier is reduced.

For positive feedback, were the fed-back voltage is in "Phase" with the input the overall gain of
the amplifier is increased.

By connecting the output directly back to the negative input terminal, 100% feedback is achieved
resulting in a Voltage Follower (buffer) circuit with a constant gain of 1 (Unity).

Changing the fixed feedback resistor (Rf) for a Potentiometer, the circuit will have Adjustable
Gain.
Differential and Summing Operational Amplifier Circuits




The Differential Amplifier produces an output that is proportional to the difference between the
2 input voltages.

Adding more input resistor to either the inverting or non-inverting inputs Voltage Adders or
Summers can be made.

Voltage follower op-amps can be added to the inputs of Differential amplifiers to produce high
impedance Instrumentation amplifiers.
Differentiator and Integrator Operational Amplifier Circuits




The Integrator Amplifier produces an output that is the mathematical operation of integration.

The Differentiator Amplifier produces an output that is the mathematical operation of
differentiation.

Both the Integrator and Differentiator Amplifiers have a resistor and capacitor connected across
the op-amp and are affected by its RC time constant.

In their basic form, Differentiator Amplifiers suffer from instability and noise but additional
components can be added to reduce the overall closed-loop gain.
Comparator Compares two voltages and switches its output to indicate which voltage is larger.


                                              .




  Voltage follower (Unity Buffer Amplifier) Used as a buffer amplifier to eliminate loading effects
(e.g., connecting a device with a high source impedance to a device with a low input impedance).




Inverting integrator - Integrates the (inverted) signal over time




Inverting differentiator- Differentiates the (inverted) signal over time.




Schmitt trigger - A bistable multivibrator implemented as a comparator with hysteresis.
Relaxation oscillator - By using an RC network to add slow negative feedback to the
inverting Schmitt trigger, a relaxation oscillator is formed. The feedback through the RC network
causes the Schmitt trigger output to oscillate in an endless symmetric square wave (i.e., the
Schmitt trigger in this configuration is an astable multivibrator).




  Inductance gyrator - Simulates an inductor (i.e., provides inductance without the use of a
possibly costly inductor). The circuit exploits the fact that the current flowing through a capacitor
behaves through time as the voltage across an inductor. The capacitor used in this circuit is smaller
than the inductor it simulates and its capacitance is less subject to changes in value due to
environmental changes.




  Zero level detector - Voltage divider reference; Zener sets reference voltage; Acts as a
comparator with one input tied to ground; When input is at zero, op-amp output is zero (assuming
split supplies.)

  Negative impedance converter (NIC) - Creates a resistor having a negative value for any signal
generator
Wien bridge oscillator - Produces a very low distortion sine wave. Uses negative temperature
compensation in the form of a light bulb or diode

                                               .




  Precision rectifier - The voltage drop VF across the forward biased diode in the circuit of a passive
rectifier is undesired. In this active version, the problem is solved by connecting the diode in the
negative feedback loop. The op-amp compares the output voltage across the load with the input
voltage and increases its own output voltage with the value of VF. As a result, the voltage drop VF is
compensated and the circuit behaves very nearly as an ideal (super) diode with VF = 0 V.




 Logarithmic output




 Exponential output

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Op-Amp Fundamentals

  • 1. NATIONAL COLLEGE OF SCIENCE AND TECHNOLOGY Amafel Building, Aguinaldo Highway Dasmariñas City, Cavite ASSIGNMENT # 1 OPERATIONAL AMPLIFIER Bani, Arviclyn C. July 26, 2011 Electronics 3/BSECE 41A1 Score: Engr. Grace Ramones Instructor
  • 2. Operational Amplifiers As well as resistors and capacitors, Operational Amplifiers, or Op-amps as they are more commonly called, are one of the basic building blocks of Analogue Electronic Circuits. Operational amplifiers are linear devices that have all the properties required for nearly ideal DC amplification and are therefore used extensively in signal conditioning, filtering or to perform mathematical operations such as add, subtract, integration and differentiation. An ideal Operational Amplifier is basically a three-terminal device which consists of two high impedance inputs, one called the Inverting Input, marked with a negative sign, ("-") and the other one called the Non-inverting Input, marked with a positive plus sign ("+"). The third terminal represents the op-amps output port which can both sink and source either a voltage or a current. In a linear operational amplifier, the output signal is the amplification factor, known as the amplifiers gain (A) multiplied by the value of the input signal and depending on the nature of these input and output signals, there can be four different classifications of operational amplifier gain. Voltage – Voltage "in" and Voltage "out" Current – Current "in" and Current "out" Transconductance – Voltage "in" and Current "out" Transresistance – Current "in" and Voltage "out"
  • 3. Equivalent Circuit for Operational Amplifiers Characteristics of Operational Amplifiers The Operational Amplifier, or Op-amp as it is most commonly called, is an ideal amplifier with infinite Gain and Bandwidth when used in the Open-loop mode with typical d.c. gains of 100,000, or 100dB. The basic Op-amp construction is of a 3-terminal device, 2-inputs and 1-output. An Operational Amplifier operates from either a dual positive (+V) and an corresponding negative (-V) supply, or they can operate from a single DC supply voltage. The two main laws associated with the operational amplifier are that it has an infinite input impedance, (Z∞) resulting in "No current flowing into either of its two inputs" and zero input offset voltage "V1 = V2". An operational amplifier also has zero output impedance, (Z = 0). Op-amps sense the difference between the voltage signals applied to their two input terminals and then multiply it by some pre-determined Gain, (A). This Gain, (A) is often referred to as the amplifiers "Open-loop Gain".
  • 4. The Two Basic Operational Amplifier Circuits Op-amps can be connected into two basic configurations, Inverting and Non-inverting. The Open-loop gain called the Gain Bandwidth Product, or (GBP) can be very high and is a measure of how good an amplifier is. Very high GBP makes an operational amplifier circuit unstable as a micro volt input signal causes the output voltage to swing into saturation. By the use of a suitable feedback resistor, (Rf) the overall gain of the amplifier can be accurately controlled.
  • 5. Gain Bandwidth Product For negative feedback, were the fed-back voltage is in "anti-phase" to the input the overall gain of the amplifier is reduced. For positive feedback, were the fed-back voltage is in "Phase" with the input the overall gain of the amplifier is increased. By connecting the output directly back to the negative input terminal, 100% feedback is achieved resulting in a Voltage Follower (buffer) circuit with a constant gain of 1 (Unity). Changing the fixed feedback resistor (Rf) for a Potentiometer, the circuit will have Adjustable Gain.
  • 6. Differential and Summing Operational Amplifier Circuits The Differential Amplifier produces an output that is proportional to the difference between the 2 input voltages. Adding more input resistor to either the inverting or non-inverting inputs Voltage Adders or Summers can be made. Voltage follower op-amps can be added to the inputs of Differential amplifiers to produce high impedance Instrumentation amplifiers.
  • 7. Differentiator and Integrator Operational Amplifier Circuits The Integrator Amplifier produces an output that is the mathematical operation of integration. The Differentiator Amplifier produces an output that is the mathematical operation of differentiation. Both the Integrator and Differentiator Amplifiers have a resistor and capacitor connected across the op-amp and are affected by its RC time constant. In their basic form, Differentiator Amplifiers suffer from instability and noise but additional components can be added to reduce the overall closed-loop gain.
  • 8. Comparator Compares two voltages and switches its output to indicate which voltage is larger. . Voltage follower (Unity Buffer Amplifier) Used as a buffer amplifier to eliminate loading effects (e.g., connecting a device with a high source impedance to a device with a low input impedance). Inverting integrator - Integrates the (inverted) signal over time Inverting differentiator- Differentiates the (inverted) signal over time. Schmitt trigger - A bistable multivibrator implemented as a comparator with hysteresis.
  • 9. Relaxation oscillator - By using an RC network to add slow negative feedback to the inverting Schmitt trigger, a relaxation oscillator is formed. The feedback through the RC network causes the Schmitt trigger output to oscillate in an endless symmetric square wave (i.e., the Schmitt trigger in this configuration is an astable multivibrator). Inductance gyrator - Simulates an inductor (i.e., provides inductance without the use of a possibly costly inductor). The circuit exploits the fact that the current flowing through a capacitor behaves through time as the voltage across an inductor. The capacitor used in this circuit is smaller than the inductor it simulates and its capacitance is less subject to changes in value due to environmental changes. Zero level detector - Voltage divider reference; Zener sets reference voltage; Acts as a comparator with one input tied to ground; When input is at zero, op-amp output is zero (assuming split supplies.) Negative impedance converter (NIC) - Creates a resistor having a negative value for any signal generator
  • 10. Wien bridge oscillator - Produces a very low distortion sine wave. Uses negative temperature compensation in the form of a light bulb or diode . Precision rectifier - The voltage drop VF across the forward biased diode in the circuit of a passive rectifier is undesired. In this active version, the problem is solved by connecting the diode in the negative feedback loop. The op-amp compares the output voltage across the load with the input voltage and increases its own output voltage with the value of VF. As a result, the voltage drop VF is compensated and the circuit behaves very nearly as an ideal (super) diode with VF = 0 V. Logarithmic output Exponential output