Practical OpAmp Differentiator Part 2 Derivations Frequency Response and ApplicationsEnglish
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In this video, op-amp as differentiator has been explained with derivation, and some examples have been solved on op-amp differentiator circuit. • Op-Amp as Differentiator: • The differentiator Op-amp circuit functions quite opposite to the Op-amp integrator circuit, if we interchange the position of resistor and capacitor of integrator circuit, then it can be used as a differentiator. The relation between the output and input has been derived in this video. • Application of differentiator circuit: • The differentiator circuit can be used to identify the rate at which the input signal is changing. • So they are most commonly used in wave-shaping circuits to detect high-frequency components in an input signal, • Differentiators are an important part of analogue computers and analogue PID controllers, • Differentiators are also used in frequency modulators as rate-of-change detectors. • Limitation of simple differentiator circuit: • In this simple differentiator circuit, as the input frequency increases, the gain of the differentiator will increase. So, the simple differentiator is very sensitive to the high-frequency noise. Simple differentiator circuit becomes unstable and starts to oscillate at high frequencies, Also, in simple differentiator, the input impedance of the circuit is equal to the reactance of the capacitor. So at high frequency, the input impedance will reduce. • These problems can be overcome by using the practical differentiator circuit. • Practical Differentiator Circuit: • In practical differentiator, we connect a series resistor to input capacitor. This resistor will ensure that at high frequencies, the input impedance of the circuit will be at least equal to the value of the input resistor. • And because of this series resistor, the gain of the op-amp at high frequency will be restricted. • To avoid high-frequency noise, To increase further stability, and to prevent oscillations at the output signal at higher frequencies, a feedback capacitor is also connected in parallel with the feedback resistor. • The timestamps for the various topics covered in this video are as follows: • 0:38β Op-Amp as a Differentiator • 1:57β Derivation of Op-Amp Differentiator Circuit • 3:41β Output of differentiator for the different input signals • 5:51 Limitations of the simple differentiator circuit • 9:08β Practical Op-Amp differentiator • 13:58 Applications of Op-Amp differentiator • 14:23β Example 1 • 15:25β Example 2 • 17:02β Example 3 • The links to the related videos of op-amp • Op-Amp as Inverting Amplifier • • OP-Amp Inverting Amplifier and Virtua... βββββ • Op-Amp as Non-inverting Amplifier • • OP-Amp Non-inverting Amplifier and Vo... βββ • Op-Amp as Integrator • • OP-Amp Integrator (Derivation and Exa... • Please SUBSCRIBE my youtube channel • / electronicsad • Music Credit: • http://www.bensound.com/βββ • Keep Learning and Keep Growing .
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