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What is an Operational Amplifier?

An operational amplifier, usually known as an “Op - amp” is an integrated circuit containing several transistors, resistors, a few capacitors, and diodes. Op-amps are used to amplify an external voltage with a very high gain.

Schematic diagram of 741 Op-Amp
Figure 01: Schematic diagram of 741 Op-Amp

Pinout diagram of 741 Op-Amp
Figure 02: Pinout diagram of 741 Op-Amp

For simplicity, op-amp can be shown as follows.

Op-Amp circuit symbol
Figure 03: Op-Amp circuit symbol

Voltage Gain

Voltage gain is the ratio between the output voltage and the input voltage. The maximum output voltage is the power supply voltage. this can be obtained by only an ideal op-amp.  In an ideal op -amp the open loop gain is infinite.

Op Amp – Operational amplifier eq 01

Where,

  • G = voltage gain
  • Vout = output voltage
  • Vin =input voltage

Op-Amp Saturation

There is a maximum output voltage that op-amp can obtain. When this maximum point is exceeded, it is called that the op-amp is saturated. The saturation of the ideal op-amp can be represented as follows.

Vout vs Vin of an ideal Op–Amp
Figure 04: Vout vs Vin of an ideal Op–Amp

Ideal Op-Amp characteristics

In an ideal op -amp following characteristics can be observed.

  • Open loop gain is infinite (A = ∞).
  • Input impedance is infinite (Rin = ∞).
  • Output impedance is zero (Rout = 0).
  • The input current is zero.
  • Bandwidth is infinite.

Op-Amp model
Figure 05: Op-Amp model

CharacteristicIdeal op ampPractical op amp
Open loop gain (A)Infinite105
Bandwidth (BW)Infinite10-100 Hz
Input impedance (Zin)Infinite>1 MΩ
Output impedance (Zout)0 Ω10 – 100 Ω
Output voltage (Vout)Depends only on Vd = (V+ - V-)
Differential mode signal.
Depends slightly on average input.
Vc = (V+ + V-)/2
Common mode signal
Common mode rejection ratio (CMRR)Infinite10 – 100 dB
Table 01: Comparison of an ideal and practical op-amp

Open loop gain (A)

Open loop gain can be defined as the gain obtained from an op-amp when no feedback is used in the op-amp. When analyzing op–amps we assume that there is no current flow into the input terminal and no current flow out from the output terminal. The open loop gain of an ideal op amp is infinite. It can be obtained as follows.

Open loop configuration of Op-Amp
Figure 06: Open loop configuration of Op-Amp

Op Amp – Operational amplifier eq 01

Input voltage Vin is the voltage difference between the non-inverting and inverting terminals. In an ideal op amp, there is no current flow between inverting and non-inverting terminals. That means there is no voltage difference between the non-inverting and inverting terminals.

Op Amp – Operational amplifier eq 02

Closed loop gain (G)

The closed-loop gain of an op amp is the gain when feedback is used. Closed loop gain is changed according to the op amp configuration.

Op-Amp Configurations

  • Inverting Amplifier
  • Non-Inverting Amplifier
  • Summing Amplifier
  • Differentiator
  • Integrator
  • Differential Amplifier

Input impedance (Zin) and output impedance (Zout)

Impedance is the objection of the components in an electrical circuit to the flow of current. If the impedance is generated in a DC system, it is called resistance. Both impedance and resistance values are measured in the same unit: ohms (Ω).  

The input impedance In an ideal op amp is infinite. Therefore, there is no current flow between inverting and non-inverting terminals. Output impedance is zero.

Bandwidth (BW)

The bandwidth of an op amp is the frequency range where the voltage gain is above 70.7%.

The bandwidth of an op amp
Figure 07: The bandwidth of an op amp

Common mode rejection ratio (CMRR)

Common mode rejection ratio (CMRR) is defined as the ratio between common mode gain to differential mode gain. It is a measurement of the ability to reject noise. If the CMRR is high, that means the op amp has a high ability to reject noise.

Op Amp – Operational amplifier eq 03

Generally, CMRR is expressed in decibels (dB)

Op Amp – Operational amplifier eq 04

Common mode gain is the gain where both inverting and non-inverting terminals of an op amp are applied with the same signal.  

Applications of op-amps

  • Audio amplifiers
  • Instrumentation amplifiers
    • Biomedical systems,
    • Analytical Instrument Analog sensors
    • Medical equipment
  • Power amplifiers
  • Analog computers
    • Combination of integrators
    • Differentiators
    • Summing amplifiers
    • Multipliers
  • Multi-vibrators and Oscillators

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References and Attributes

Figures:

The cover image was designed using an image by Omegatron, licensed under CC BY-SA 3.0, via Wikimedia Commons

Figure 01: Contains an image by Omegatron, licensed under CC0, via Wikimedia Commons

Figure 02: Contains an image by TedPavlic, licensed under CC BY-SA 3.0, via Wikimedia Commons

Figure 03: Contains an image by Omegatron, licensed under CC BY-SA 3.0, via Wikimedia Commons

Figure 05: Contains an image by Inductiveload, licensed under the Public domain, via Wikimedia Commons

Figure 06: Contains an image by Ong saluri, licensed under CC BY-SA 3.0, via Wikimedia Commons


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