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Integrator circuit produces the output voltage waveform as the integral of the input voltage waveform.

A simple low pass RC circuit can work as an integrator when time constant is very large, which require large value of R and C. Due to practical limitations, the R and C cannot be made infinitely large.

In practice, the output of op-amp never becomes infinite rather the output of the op-amp saturate at a voltage close to op-amp positive or negative power supply depending on the polarity of the input dc signal.

The technique used is VSB to save bandwidth

A clamper clamps the output to a desired dc level.

In an op-amp clamper circuit, a pre-determined dc level is deliberately inserted at the output voltage.
For this reason, the clamper is sometimes called as DC inserter.
These circuits are also known as DC voltage restorers.

Log amplifier requires the input and reference voltage to be of the same polarity. This restricts log-antilog multiplier to one quadrant operation

Division is the complement of multiplication. So, the divider can be accomplished by placing the multiplier circuit element in the op-amp feedback loop.

The multiplication of two sine wave of same frequency with different amplitude and phase allows in doubling a frequency.

A positive small signal half wave rectifier can rectify signals with peak values down to few milli volts, because the high open loop gain of the op-amp automatically adjusts the voltage drive to the diode, so that the rectified output peak is the same as the input.

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