**operational amplifier**or

**op amp**is a DC coupled voltage amplifier with a very high voltage gain.

Op amp is basically a multistage amplifier in which a number of amplifier stages are interconnected to each other in a very complicated manner. Its internal circuit consists of many transistors, FETs and resistors. All this occupies a very little space.

So, it is packed in a small package and is available in the Integrated Circuit (IC) form. The term **Op Amp** is used to denote an amplifier which can be configured to perform various operations like amplification, subtraction, differentiation, addition, integration etc. An example is the very popular IC 741.

The symbol and its actual appearance in the IC form is shown below. The symbol appears as an arrowhead which signifies that the signal is flowing from output to input.

## Input and Output Terminals of an Operational Amplifier

An op-amp has two input terminals and one output terminal. The op-amp also has two voltage supply terminals as seen above. Two input terminals form the differential input. We call the terminal, marked with negative (-) sign as the inverting terminal and the terminal marked with positive (+) sign as the non-inverting terminal of the **operational amplifier**. If we apply an input signal at the inverting terminal (-) than the amplified output signal is 180^{o} out of phase concerning the applied input signal. If we apply an input signal to the non-inverting terminal (+) then the output signal obtained will be in phase, i.e. it will have no phase shift concerning the input signal.

## Power Supply for an Operational Amplifier

As seen from the circuit symbol above it has two input power supply terminals +V_{CC} and –V_{CC}. For the operation of an op-amp a dual polarity DC supply is essential. In the dual polarity supply, we connect the +V_{CC} to the positive DC supply and the –V_{CC} terminal to the negative DC supply. However few op-amps can also operate on a single polarity supply. Note that there is no common ground terminal in the op-amps hence the ground has to be established externally.

## Working Principle of Op-Amp

### Open Loop Operation of an Operational Amplifier

As said above an op-amp has a differential input and single ended output. So, if we apply two signals one at the inverting and another at the non-inverting terminal, an ideal op-amp will amplify the difference between the two applied input signals. We call this difference between two input signals as the differential input voltage. The equation below gives the output of an operational amplifier.Where, V_{OUT} is the voltage at the output terminal of the op-amp. A_{OL} is the open-loop gain for the given op-amp and is constant (ideally). For the IC 741 A_{OL} is 2 x 10^{5}.

V_{1} is the voltage at the non-inverting terminal.

V_{2} is the voltage at the inverting terminal.

(V_{1} – V_{2}) is the differential input voltage.

It is clear from the above equation that the output will be non-zero if and only if the differential input voltage is non-zero (V_{1} and V_{2} are not equal), and will be zero if both V_{1} and V_{2} are equal. Note that this is an ideal condition, practically there are small imbalances in the op-amp. The open-loop gain of an op-amp is very high. Hence, an open loop operational amplifier amplifies a small applied differential input voltage to a huge value.

Also, it is true that if we apply small differential input voltage, the operational amplifier amplifies it to a considerable value but this significant value at the output cannot go beyond the supply voltage of the op-amp. Hence it does not violate the law of conservation of energy.

### Closed Loop Operation

The above-explained operation of the op-amp was for open-loop i.e. without a feedback. We introduce feedback in the closed loop configuration. This feedback path feeds the output signal to the input. Hence, at the inputs, two signals are simultaneously present. One of them is the original applied signal, and the other is the feedback signal. The equation below shows the output of a closed loop op-amp.Where V_{OUT} is the voltage at the output terminal of the op-amp. A_{CL} is the closed loop gain. The feedback circuit connected to the op-amp determines the closed loop gain A_{CL}. V_{D} = (V_{1} – V_{2}) is the differential input voltage. We say the feedback as positive if the feedback path feeds the signal from the output terminal back to the non-inverting (+) terminal. Positive feedback is used in oscillators. The feedback is negative if the feedback path feeds the part of the signal from the output terminal back to the inverting (-) terminal. We use negative feedback to the op-amps used as amplifiers. Each type of feedback, negative or positive has its advantages and disadvantages.

Positive Feedback ⇒ Oscillator

Negative Feedback ⇒ Amplifier

Th above explanation is the most basic **working principle of operational amplifiers.**

## Ideal Op-Amp Characteristics

An ideal op-amp should have the following characteristics:

- Infinite voltage gain (So that maximum output is obtained)
- Infinite input resistance (Due to this almost any source can drive it)
- Zero output resistance (So that there is no change in output due to change in load current)
- Infinite bandwidth
- Zero noise
- Zero power supply rejection ratio (PSSR = 0)
- Infinite common mode rejection ratio (CMMR = ∞)

## Practical Operational Amplifier

None of the above-given parameters can be practically realized. A practical or real op-amp has some unavoidable imperfections and hence its characteristics differ from the ideal one. A real op-amp will have non-zero and non-infinite parameters.

### Applications of Operational Amplifier

The integrated op-amps offer all the advantages of ICs such as high reliability, small size, cheap, less power consumption. They are used in variety of applications such as inverting amplifier and non inverting amplifiers, unity gain buffer, summing amplifier, differentiator, integrator, adder, instrumentation amplifier, Wien bridge oscillator, Filters etc.