A presentation by Arsalan Qureshi student of Dawood University Of Engineering And Technology. Roll No: D-16-TE-09. This Presentation Is about op amp and its properties of integrator and differentiator.

1. INTEGRATOR AND
DIFFERENTIATOR OP -AMP
P R E S E N T E D BY : A R S A L A N S A E E D Q U R E S H I ( D - 1 6 - T E - 0 9 )
P R E S E N T E D TO : E N G R . B U S H R A S H A I K H A N D T E L E C O M M U N I C AT I O N 1 6
DEPARTMENT OF
TELECOMMUNICATION ENGINEERING

2. WHAT IS OP-AMP ?
• An Operational Amplifier (Op-Amp) is an integrated circuit that
uses external voltage to amplify the input through a very high gain
.
• Operation Amplifier circuit designed to boost the power of low
level signal

3. OP-AMP INTEGRATOR:-
• If feedback component used is a capacitor ,the resulting
connection is called integrator.
• The circuit diagram of ideal op-amp integrator

4. • The output voltage is negative of input voltage and inversely
proportional to time constant R and C .
Vo(s)= -Vin(s) %SRC
• The gain A, A=Vo(s)%Vin(s) = - 1/(jwCR)
• Taking magnitude of A
A= 1/(wCR) = W/Wa
Where Wa=1/CR

5. • The integrator work as a low pass filter circuit when time constant
is very large .
• At w=0, the gain A is infinite for an ideal op-amp .
• At dc , the capacitor C behaves as an open circuit and there is no
negative feedback.
• But in practice output never becomes infinite .

6. PRACTICAL OP-AMP
INTEGRATOR:-
• The gain of an integrator at low frequency (dc) can be limited to
avoid saturation by introducing a feedback resistance(Rf) in
shunt with feedback capacitance(Cf) .
• The resistor Rf limits the low frequency gain to –Rf/R( generally
Rf=10R) .

7. CIRCUIT DIAGRAM OF
PRACTICAL INTEGRATOR :-
• Vo(s)= -Vin(s)/{sR1Cf+(R1/Rf)}

8. DIFFERENTIATOR OP-AMP:-
• The op-amp circuits that contain capacitor is the differentiating
amplifier .

9. • The output voltage Vo is a constant (-RC) times the derivative of
the input voltage V1 .
• In Laplace form ,s=jw
Vo(s)= -sCRVin(s)
• The gain is ,A=Vo(s)/Vin(s)
A=-sCR = -jwCR
• The magnitude of A=wCR
• A=W/Wa = f/fa
where Wa=1/CR

10. • At high frequency a differentiator may become unstable and break
into oscillation .
• The input impedance (Xc=1/wc) decrease with increase in
frequency there wise making the circuit sensitive to high frequency
noise .
• To overcome through the problem of un-stability and high
frequency noise we use the practical differentiator .

11. CIRCUIT DIAGRAM OF
PRACTICAL DIFFERENTIATOR:-

12. OUTPUT EQUATION:-
• Vo(s)/Vin(s) = - sRfC1/{(1+sCfRf)(1+sC1R1)}
• If CfRf=C1R1 and s=jw
• Vo(s)/Vin(s) = jwRfC1/{(1+jwCfRf)^2}
• The magnitude of A,
A= wRfC1/{(1+jf/fb)^2}
where

13. APPLICATIONS OF OP-AMP
DIFFERENTIATOR AND
INTEGRATOR:-
• Differentiating amplifiers are most commonly designed to
operate on triangular and rectangular signals.
• Differentiators also find application as wave shaping circuits, to
detect high frequency components in the input signal.
• The integrator circuit is mostly used in analog computers,
analog-to-digital converters and wave-shaping circuits .

14. I HOPE THERE WILL BE NO
QUERIES ;-)
THANK YOU SO MUCH
EVERYONE FOR YOUR PRECIOUS
AND VALUABLE TIME TAKE
CARE ALLAH HAFIZ.