Operational Amplifier (Op Amp)

The op amp is an electronic unit that behaves like a voltage-controlled voltage source. An op amp may also be regarded as a voltage amplifier with very high gain. It can also be used in making a voltage- or current-controlled current source.

An op amp is an active circuit element designed to perform mathematical operations of addition, subtraction, multiplication, division, differentiation, and integration.

The five important terminals:

  • Inverting input, pin 2.
  • Non-inverting input, pin 3.
  • Output, pin 6.
  • Positive power supply \(V^{+}\), pin 7.
  • Negative power supply \(V^{-}\), pin 4.

An input applied to the non-inverting terminal will appear with the same polarity at the output, while an input applied to the inverting terminal will appear inverted at the output.

Powering the Op Amp

\(\displaystyle i_{o} = i_{1} + i_{2} + i_{+} + i_{-}\)

The output voltage \(v_{o}\) of op amp is dependent on and is limited by the supply voltage \(V_{CC}\). Op amp can operate in three modes, depending on the differential input voltage \(v_{d}\).

  • Positive saturation, \(v_{o} = V_{CC}\).
  • Linear region, \(-V_{CC} \le v_{o} \le V_{CC}\).
  • Negative saturation, \(v_{o} = -V_{CC}\).

Applications

The op amp is a fundamental building block in modern electronic instrumentation. It is used extensively in many devices, along with resistors and other passive elements. Its numerous practical applications include instrumentation amplifiers, digital-to-analog converters, analog computers, level shifters, filters, calibration circuits, inverters, summers, integrators, differentiators, subtractors, logarithmic amplifiers, comparators, gyrators, oscillators, rectifiers, regulators, voltage-to-current converters, current-to-voltage converters, and clippers.

Links to this page
  • Unity Follower (Op Amp)

    The unity follower (or voltage follower) is an op amp circuit that provides a gain of unity (1) with no polarity or phase reversal.

  • Summing Amplifier (Op Amp)

    A summing amplifier is an op amp circuit that combines several inputs and produces an output that is the weighted sum of the inputs.

  • Second-Order Circuits

    An op amp circuit with two storage elements that cannot be combined into a single equivalent element is second-order. Such circuits find a wide range of applications in devices such as filters and oscillators.

  • Non-Inverting Amplifier (Op Amp)

    A non-inverting amplifier is an op amp circuit designed to provide a positive voltage gain.

  • Non-Ideal Op Amp

    Equivalent circuit of non-ideal Op Amp.

    The op amp senses the difference between the two inputs, multiplies it by the gain \(A\), and causes the resulting voltage to appear at the output \(v_{o}\).

  • Negative Feedback (Op Amp)

    A negative feedback is achieved when the output is fed back to the inverting terminal of the op amp, the ratio of the output voltage to the input voltage is called the closed-loop gain. As a result of the negative feedback, it can be shown that the closed-loop gain is almost insensitive to the open-loop gain \(A\) of the op amp. For this reason, op amps are used in circuits with feedback paths.

  • Inverting Amplifier (Op Amp)

    A key feature of the inverting amplifier is that both the input signal and the feedback are applied at the inverting terminal of the op amp.

  • Integrator (Op Amp)

    An integrator is an op amp circuit whose output is proportional to the integral of the input signal.

  • Ideal Op Amp

    An op amp is ideal if it has the following characteristics:

  • First-Order Circuits

    An op amp circuit containing a storage element will exhibit first-order behavior. Differentiators and integrators are examples of first-order op amp circuits.

  • Differentiator (Op Amp)

    A differentiator is an op amp circuit whose output is proportional to the rate of change (or derivative) of the input signal.

  • Difference Amplifier (Op Amp)

    A difference amplifier is an op amp circuit that amplifies the difference between two inputs but rejects any signals common to the two inputs.

  • Cascaded Op Amp Circuits

    A cascade connection is a head-to-tail arrangement of two or more op amp circuits such that the output of one is the input of the next.

    It is often necessary in practical applications to connect op amp circuits in cascade to achieve a large overall gain.

  • Analog Computer

    To solve simple differential equations using the analog computer requires cascading three types of op amp circuits:

    Op amps were initially developed for electronic analog computers. Analog computers can be programmed to solve mathematical models of mechanical or electrical systems. These models are usually expressed in terms of differential equations.

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