Many real world problems can be represented by first order differential equation. Some applications of differential equation are radio-active decay and carbon dating, population growth and decay, warming/cooling law and draining a tank.
differentiator is used in t.v.
phase shift in integrator is 180 degrees and phase shift in differentiator is 0 degrees
It doesn't. It can produce any waveform if you feed the integral of the desired waveform into the differentiator's input.
remote car
An envelope detector is not a differentiator; instead, it is a type of demodulator used primarily in amplitude modulation (AM) systems. It retrieves the envelope of a modulated signal to extract the original information signal. While both envelope detectors and differentiators involve signal processing, their functions and applications are distinct. The differentiator focuses on deriving the rate of change of a signal, while the envelope detector is concerned with capturing the modulation envelope.
noise is a ac signal(high frequency range), as LPF allows only lower frequencies integrator is has more noise immunity than differentiator
Finding the rate of change - in particular, the instantaneous rate of change.
a phase shifted sine wave of a different amplitude.
A differentiator op-amp circuit produces an output voltage that is proportional to the rate of change of the input voltage. It uses a resistor and capacitor in its feedback loop, where the capacitor allows the circuit to respond to changes in the input signal. When the input voltage changes, the capacitor charges or discharges, causing a corresponding change in output voltage that reflects the input's instantaneous rate of change. This configuration is particularly useful in applications requiring signal processing, such as in analog signal differentiation or in certain control systems.
Because the capacitor is in series with the output. Vice versa for the integrator.
A differentiator
A high pass circuit can act as a differentiator because it allows high frequency signals to pass through while attenuating low frequency signals. This property causes the output to respond more to the rate of change of the input signal, making it behave similar to a mathematical differentiator.