#### 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

**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

#### (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 }

####
^{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.

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