Draw the differentiator circuit, Electrical Engineering

Assignment Help:

Q. Draw the differentiator circuit. Explain its principle of operation with necessary waveforms ?

A circuit in which the output voltage is directly proportional to the derivative of the input signal is called differentiator circuit i.e. v0=d/dt(input). A differentiating circuit can be arranged by a simple RC series circuit. Here the values of R and C are selected in such a way that the time constant (RC) of the circuit should be very small than the time period of the input wave and reactance of the capacitor is very large as compared to the value of the resistor. Thus the current flowing in the differentiator circuit is to a large extent decided by the capacitive reactance; the current will be leading the input voltage by 90 degrees approximately. Due to this current, the voltage developed across the resistor also leads the input voltage by 90 degrees.

If the input is a sinusoidal signal and given by

            vi = V sin(ωt)

Then the output will be leading this voltage by 90 degrees.

           vo = Vsin (ωt+90)= V cos(ωt).

Thus we find that the output is a differentiated form of the input signal. This can be proved mathematically.

       The output voltage VO = i*R

But since XC>>R, the current (i)is dependent upon capacitor alone. Therefore, the rate of change of charge across the capacitor gives the current

             i = dQ/dt

but the charge Q across the capacitor C is given as

             Q = C*VC

Where VC is the voltage across the capacitor

           i = dQ/dt = d/dt(C*VC) =C* d(vt)/dt

            vo = i* R = CR*d/dt(vt)

When a dc voltage is applied to the differentiating circuit, its output will be zero since the derivative of a constant is zero. For a square wave input, the differentiator output will be sharp narrow pulses. When the input to the differentiator circuit is a triangular wave, the output will be a square or rectangular wave. For a sine wave input, the output of the differentiator will be a cosine wave.


Related Discussions:- Draw the differentiator circuit

Write a short note on rs-232-c, Write a short note on RS-232-C. The RS-...

Write a short note on RS-232-C. The RS-232 standard is a collection of connection standards among different pieces of equipment. The EIA RS-232 serial communication standard is

Newton''s laws of motion in terms of particle motion, 1. Sum of forces is z...

1. Sum of forces is zero velocity remains constant.[If the particle is initially at rest, it will remain at rest for as long as the sum of the forces is zero]. 2. Sum F of for

Jfet amplifier, i want to know the all the three jfet in present and future...

i want to know the all the three jfet in present and future use and desing for each component

Electronic voltage regulators, Electronic voltage regulators: Electron...

Electronic voltage regulators: Electronic voltage regulators operate through comparing the actual output voltage to a few internal fixed reference voltages. Any type of differ

Compute the rated-load efficiency, The following data apply to a 100-kW, 25...

The following data apply to a 100-kW, 250-V, six-pole, 1000-r/min long-shunt compound generator: no-load rotational losses 4000 W, armature resistance at 75°C = 0.015 , series-fie

What is meant by daisy chaining method, What is meant by Daisy Chaining met...

What is meant by Daisy Chaining method?  It does not need any priority resolving network, rather the priorities of all the devices are effectively assumed to be in sequence.

Opimization, I want to know latest optimization technique and algorithm for...

I want to know latest optimization technique and algorithm for modal reduction and pid controller design

For which type of measurement thermocouples are used, Thermocouples are use...

Thermocouples are used for the measurement of (A)  Humidity.                                   (B) Pressure. (C) Temperature.                               (D) Density.

Split-phase or resistance-split-phasemotor, Q. Split-phase or resistance-sp...

Q. Split-phase or resistance-split-phasemotor? Split-phase or resistance-split-phasemotors: Split-phasemotors have two statorwindings (amainwinding and an auxiliarywinding)with

Calculate the saturation current of the diode, Q. A silicon diode is forwar...

Q. A silicon diode is forward-biased with V = 0.5 V at a temperature of 293 K. If the diode current is 10 mA, calculate the saturation current of the diode.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd