Application of op amp in Hindi
Op amp as an inverter (inverting amplifier):-
In inverting amplifier output signal is 180 degrees out of phase I.e inverted with respect to input signal.
Current in resistor R, I1 = Vi-V2/R
Current in resistor Rf, I2 = V2-Vo/Rf
Vo = Ad(V1-V2)
apply kcl at point A:-
Ii = I2+Ii
Ii = I2 ( Ii = 0)
fig - inverting amplifier |
Vi - V2/R = V2 - Vo/Rf
V2 = V1 = (virtual short circuit)
Vi/R = -Vo/Rf
Vo/Vi = -Rf/R
Vo ∝ Vi
(-) sign indicates inverting output (180) phase shift.
Non inverting amplifier:-
I1 = 0-Vi / R
= -Vi / R
I2 = V1-Vo / Rf
Apply kcl at point A
I1 = I2+Ii
= -Vi/R = V1-Vo/Rf
V1 = Vi{virtual short circuit}
-Vi/R = Vi/RF - Vo/Rf
Vo/Rf = Vi/Rf + Vi/Rf
Vo/Rf = (1+Rf/R)
- in this there is no(-) sign.
- output and input are in same phase {0 degree ps(phase shift)}.
OP-Amp as an Adder:-
Ia = Va-V2/Ra
Ib = Vb-V2/Rb
Ic = Vc-V2/Rc
I = VC2-Vo/Rf
Kcl rule से:-
fig - Adder |
Ia + Ib + Ic = 1
Va-V2/Ra + V b-V2/Rb + Vc-V2/Rc = V2-Vo/Rf
(V2 = Vi =0) virtual ground
Va-Vo/Ra + Vb-0/Rb + Vc-0/Rc = -Vo/Rf
Va/Ra + Vb/Rb + Vc/Rc = -Vo/Rf
Va/R + Vb/R + Vc/R = -Vo/Rf
When
Ra = Rb = Rc = R then
Va+Vb+ Vc/R = -Vo/Rf
Vo = -Rf/R (Va+Vb+Vc)
Vo ∝ (Va+Vb+Vc)
An adder circuit produces on output proportional to the some of inputs.
Subtractor:-
it is a non-inverting amplifier
Vo'/V+ = (1 + Rf/R)
Vo' = V+ (1+Rf/R)
V+ = Vb*Rf + 0*R1/R+Rf
V+ = Vb*Rf/R+Rf
Vo' = Vb * Rf / R+Rf * (R+Rf) / R
Vo' = Vb*Rf/1 * /R
fig - subtractor |
Vo' = Vb*Rf/R
It is a inverting amplifier:-
from Vo/Vi = -Rf/R
Vo"/Va = -Rf/R
Vo" = -VaRf/R
Vo = Vo' + Vo"
Vo = Vb*Rf/R + (- Vb*Rf/R)
Vo = Vb *Rf/R - Va*Rf/R
Vo ∝ (Vb-Va)
Differentiator (अनुकूलन )
The differentiator circuit produces and output proportional to the derivative of its input.
Ir = V 2-Vo/R
Q.C.V से
charge in capacitor
a = c(V1-V2)
".(V1=V2=0)
Q = c.vi
Ic = dq/dt
Ic = d/dt[c.(V1-V2)]
Ic = c*d/dt (V1-V2)
point A पर kcl लगाने पर
Ic = Ii+Ir
Ic = 0+Ir
Ic = V2-Vo/R
cdVi/dt = -Vo/R
Vo = -Rc*dvi/dt
Vo ∝ dvi/dt
Integrator*
Ir = V1-V 2/R
Q = c.Vi
Ic = dq/dt
= dc/dt (V 2-Vo)
Ic = -cd.Vo/dt (kcl लगाने पर)
Ir = Ic
Vi/R = -cd.Vo/dt
dVo = -1/Rc.Vidt (taking integration on both side:-)
∫ dVo = - ∫ 1/Rc * Vidt
Vo ∝ ∫ Vi.dt
An integrator produs and output proportional to the integral of this input.
Schmitt Trigger :-
Schmitt trigger is a comparator with positive feedback which convert an irregular wave into rectangular wave form.
Vi = V o.R21/R1+R2
Vut = R2/R1+R2 * (+Vsat)
Vlt = R2/R1+R2 *( -Vsat)
Vut = Upper threshold voltage
Vlt = Lower threshold voltage
When input those higher then Vut then output those +Vsat to -Vsat when input those lower then Vlt then output those -Vsat to +Vsat
Sampling time:-
The time during which sample and hold circuit generates the sample of output signal is called sampling time.
Holding time:-
The time duration of the circuit during which it hold the sample values is called holding time.
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