Op amp as differentiator
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This document describes the circuit diagram and operation of an op-amp differentiator. The input signal is connected to the inverting input through a capacitor, while the non-inverting input is grounded. Negative feedback is provided through a resistor. The output is proportional to the time derivative of the input signal, functioning as a differentiator. A small capacitor can be added parallel to the feedback resistor to bypass high frequency noise. Example input and output waveforms are provided for square, triangular, and sine waves. Uses include solving differential equations, wave shaping, and detecting high frequency components.
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Op amp as differentiator
- 2. CIRCUIT DIAGRAM: • The input signal source of voltage vin is connected to the inverting input terminal through a capacitor c. • Non inverting input terminal is earth connected. • Negative feedback is given through a resistance R
- 3. • Let vin be the signal voltage given as the input, which drives varying current through the capacitor C. • Due to the virtual groung at the summing point S, Current through C =Current through R (dQ/dT)= (0-V0)/R = (-V/R) .......(1) Q is the charge on the capacitor at any instant t, i.e.,Q=C.v(t), subst. this Q value in eqn (1), and we get,
- 4. . C.dv(t)/dt = -V0/R There fore, V0 = CR.dv(t)/dt The output is proportional to the time derivative of the input signal and the circuit function as a differentiator.
- 5. CASE-1 • This gives in the amplification of high frequency components of the amplifier noise. This amplified noise may obscure the output differentiated signal. To minimise the problem of noise magnification, a small capacitor may be connected parallel to the feed back resistor to by-pass the high frequency.
- 6. • When input signal is square wave, it gives the output signal of spikes. • If the input is Triangular wave , we get the Rectangular output wave. • If the input is sine wave, the output will be cosine wave. CASE-2
- 7. USES: • It can used to solve differential equation in analog computers. • It can used due to the noise magnification problem at high freqencies. • Differentiating amplifiers are most commonly designed to operate on triangular and rectangular signals. • It also find application as wave shaping circuits, to detect high frequency components in the input signal.