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differentiator is used in t.v.
In a computer there are many A/D converters that put analog into digital. This signal is what is usually then led into an op amp which in the right configuration can be designed into an integrator or differentiator which is then used to solve differential equations.
It doesn't. It can produce any waveform if you feed the integral of the desired waveform into the differentiator's input.
It has to do with the fact that what's being plotted isn't a simple function, y = f(x), on an x-y grid, but rather a set of parametric equations plotted on a f(t)-g(t) grid where: x = f(t) is your input, and y = g(t) is your output. Specifically, for the differentiator: x = f(t) y = df/dt. For the integrator: x = f(t) y = ∫ f(t) dt. So, if your input is x = f(t) = sin(t), then your two outputs will be df/dt = cos(t) and ∫ sin(t) dt = -cos(t). That means your coordinate axes for the differentiator and the integrator will be the parametric equations x = sin(t), y = cos(t) and x = sin(t), y = -cos(t), respectively. I don't know if you've ever worked with parametric equations before, but suffice it to say, both of those sets of equations are parametric equations for a circle. I'll add a link to parametric equations below if you want to learn more.
When a low pass filter is used with a sine wave input, the output is also a sine wave. The output will be reduced in amplitude and phase shifted when the frequency is high, but it is still a sine wave. This is not the case for square or triangular wave inputs. For non-sinusoidal inputs the circuit is called an integrator.
phase shift in integrator is 180 degrees and phase shift in differentiator is 0 degrees
differentiator is used in t.v.
noise is a ac signal(high frequency range), as LPF allows only lower frequencies integrator is has more noise immunity than differentiator
for integrator time constant must be greater than 15T(T being the pulse width)
Because the capacitor is in series with the output. Vice versa for the integrator.
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A; An integrator will integrate or slowly change as a rapid input is applied. Differentiate will have just the opposite effect
a phase shifted sine wave of a different amplitude.
That is its function. An RC low pass circuit is an integrator.
the ideal differentiator has some limitations. The output is limited to the supply voltages, and since the differentiator is a noise-amplifying device, it suffers from excessive response to high-frequencies. Generally a practical differentiator is combined with a low-pass filter to smooth the high-frequency noise effects. Figure 6 shows some possible modifications to the ideal circuit. A large (over 1 MΩ) resistor Rx may be inserted in parallel with Cs and a very small ( 10 pF or less) capacitor Cx may be inserted in parallel with Rf.
In a computer there are many A/D converters that put analog into digital. This signal is what is usually then led into an op amp which in the right configuration can be designed into an integrator or differentiator which is then used to solve differential equations.
Electronic Numerical Integrator And Calculator.