Differentiator circuit

Aim

To construct and study the Differentiator circuit

Apparatus

0.01 $\mu F$ Capacitor,1 K\ohm Resistor, Digital Storage Oscilloscope (DSO), Function Generator, Patch cords, Breadboard, Connecting Wires

Theory

In electronics, a differentiator is a circuit that is designed such that the output of the circuit is approximately directly proportional to the rate of change (the time derivative) of the input. An active differentiator includes some form of amplifier. A passive differentiator circuit is made of only resistors and capacitors.

Procedure

• Take a breadboard and Connect the circuit see in figure 
• Take a function generator and Give Ac  10 V,500 Hz Sinusoidal waveform
• connect the input and output signal of the circuit in Digital Storage Oscilloscope
• Observe the input signal and the output signal

Observation Table

Input signal: Yellow line

Output signal: Blue line

(1) Sinusoidal Wave

(2) Triangular wave

(3)Rectangular wave f=300 Hz

(4) Rectangular wave f= 1KHz

Differentiating Ciruit using RC for best differentiation of input
if f = 1KHz, T =10^-3

RC = 10^-2
*10^-3
s = 10^-5
s of R= 1K\ohm , C = 0.01m F
Phase angle between input signal and output signal
tanq =(1)/(2p fRC)
so frequency increase q decrease,frequency decrease q increase
tanq =(1)/(2p fRC)
tanq _max=¥
q = 90\deg
100 = (T)/(2p RC)
RC =(T)/(100) =10^-2  

^Result

frequency varies from 100 Hz to 900 Hz.
So, we can easily say from observation that the Differentiator circuit gives output waveform which is the differentiation of the input signal.