#### Aim

To construct and study Differentiator circuit#### Apparatus

0.01 $\mu F$ Capacitor,1 K\ohm Resistor,Digital Storage Oscilloscope (DSO), Funcation 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 circuit in Digital Storage Oscilloscope
- Observe input signal and 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

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 }

^{s}

####
^{Reslult}

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

EmoticonEmoticon