Merit
PART A
Using PART A that talks about Active Band Pass Filter Using Inverting Op Amp
In this part frequency response is calculated using estimation of high and low frequency is done in case of inverting operational amplifier. Using inverting op amp formula value of voltage amplification is calculated. Next part is for the calculation of the output voltage and voltage gain. This is divided in two parts which is calculations of the input impedance and frequency response. Below is the frequency response estimated for this.
To summarize the calculations we can have.
Below is the provided circuit diagram using inverting amplifier.
Now using formula for the inverting op amp we can have voltage gain of
Av = -(R2/R1)
In case of R2 and R1 calculationthe values of the capacitors reactance also need to be considered in the account.
Consider the value of R1 = 3K?, R2 = 21K?, we get Av =7.
Now calculation of cut off frequencies for the Low pass and high pass filter's can be calculated as below:
F1 = 1/(2* π *R1*C1)
F2 = 1/(2* π *R2*C2)
Hence
C2 = 0.47 nF, C1 = 3.3 µF
Next part is the calculation of the output Voltage and Voltage Gain
The value of the voltage gain is Av = 6.985. Now input impedance can be calculated as using input voltage and current, Vin = 200mV and Iin = 66.6 µA
So
Rin = 3003.003 ?
PART B
Using PART B which talks about Active Band Pass Filter Using Non-Inverting Op Amp
In this part frequency response is calculated using estimation of high and low frequency is done in case of noninverting operational amplifier. Using non inverting op amp formula value of voltage amplification is calculated. Next part is for the calculation of the output voltage and voltage gain. This is divided in two parts which is calculations of the input impedance and frequency response. Below is the frequency response estimated for this.
To summarize the calculations we can have.
Below is the provided circuit diagram using non inverting amplifier.
Now using formula for the non inverting op amp we can have voltage gain of
Av = 1+(R2/R1)
In case of R2 and R1 calculationthe values of the capacitors reactance also need to be considered in the account.
Consider the value of R1 = 1K?, R2 = 5.9K?, we get Av =6.
Now calculation of cut off frequencies for the Low pass and high pass filter's can be calculated as below:
F1 = 1/(2* π *R1*C1)
F2 = 1/(2* π *R2*C2)
Hence
C2 = 2.2nF, C1 = 10 µF
Next part is the calculation of the output Voltage and Voltage Gain
The value of the voltage gain is Av = 6.001. Now input impedance can be calculated as using input voltage and current, Vin = 200mV and lin = 66.6 µA
So
Rin = 3003.003 ?
PART C
Using PART C which talks about voltage comparator Using Op Amp
The circuit diagram given uses the Vref as ref voltage (Threshold whichis set by R1 and R2 formed Voltage divider. Using VEE we have following calculation of resistance values like below:
Now the Circuit Operation is calculated for provided threshold of -0.3V hence in case the lower value of voltage which is less than -300mV,it should power on the LED. Because of the negative value of threshold, we have used the VEE voltage with the value of -15V. In case of signal from input is more than -300mV then we have position of LED as off. In case of signal from input is less than -300mV then we have position of LED as on.
In this part voltage comparator is designed and discussed; estimation of way circuit operates in the region is done in case of inverting operational amplifier. Using inverting op amp formula value of various voltage amplification is calculated. Next part is for the calculation of the output voltage and voltage gain. This is divided in two parts which is calculations of the input impedance and frequency response. Below the frequency response is estimated for this.
Distinction part (D3) -
Evaluate the performance of the three different amplifiers,
1. Non-inverting amplifier
Op amps can be used in two basic configurations, inverting and non-inverting amplifier. For inverting amplifier is output is 180o out of phase from input signal whereas for non-inverting op amp the phase at the output is same as that of input (Poole, Non-inverting amplifier circuit using an op-amp, 2016). The term non-inverting refers to the way the input signal is applied. When the input signal Vin is applied at non-inverting input, the configuration is called non-inverting amplifier. Feedback for such amplifier is applied at the inverting input. Following diagram shows the basic configuration for non-inverting amplifiers (Electronics tutorial , 2016).
Gain can be calculated as following,
Vout/ V1 = (RF+R2)/R2
So
V1 = Vout * R2/(RF+R2)
For ideal op amp
V1 = Vin
And
Av = Vout/Vin
So
Av = (RF+R2)/R2
Hence
Av = 1+RF/R2
For a non inverting op amp
Av = 1+(R2/R1)
While calculating R2 and R1 capacitors reactance has also to be taken into account
Av = 6
If
R1 = 1 K?, R2 = 5.1 K? for test
High pass and low pass filter's cut off frequencies are calculated using
F1 = 1/(2* π *R1*C1)
F2 = 1/(2* π *R2*C2)
Hence
C1 = 10 µF & C2 = 2.2 nF
2. Summing amplifier
Summing amplifier circuit is a configuration used to combine two or more input signals. Op amps can be used as summing amplifiers in both inverting and non-inverting configurations (Leach Legacy , 2016). In non-inverting configuration the circuit acts at an averter (Electronics Tutorial , 2016).
Inverting amplifiers are built when the input signal is applied at the inverting input. We apply multiple inputs at the inverting input using multiple resisters in parallel; we form an inverting summing amplifier (Microchip Technology, Inc, 2016). Following diagram show the basic arrangements.
We can see that
Ia+Ib+Ic = If + Ib
We know that for ideal op amp
Zin = µ
So
IB = 0
We can write
(Va/Ra) + (Vb/Rb)+ (Vc/Rc) = (V2-Vo)/Rf
For Ideal op amp V2 should be neglected
(Va/Ra) + (Vb/Rb)+ (Vc/Rc) = -Vo/Rf
Vo = -Rf ((Va/Ra)+(Vb/Rb)+(Vc/Rc))
Vo = -((Rf/Ra )Va + (Rf/Rb) Vb + (Rf/Rc) Vc)
If
Ra = Rb = Rc = R
Vo = -(Rf/R ) * (Va + Vb + Vc)
And if
Rf = R
Vo = - (Va + Vb + Vc)
The
Voltage at input,
Va=1 mV
Vb=1 mV
Vc=1 mV
Then the voltage at output
Vo=3 mV
The gain
Av=-V0/(Va + Vb + Vc)
Av=-3/3=-1
3. Differential amplifier
All op amps by default are the differential amplifiers. We normally use one input in inverting or non-inverting configuration to get the amplification. If we apply the input at both inverting and non-inverting input terminals, we will get the output voltage proportional to the difference between the inputs (Electronics Tutorial , 2016). We know that the output for an ideal op amp should be zero if the input at both the input terminals is same.
In the above diagram
I1 = (V1-Va)/R1, I2 = (V2-Vb)/R2, If = (Va-Vout)/R3
The summing point
Va = Vb
From diagram
Vb = V2*(R4/(R2+R4))
Hence if V2 = 0
Vout1 = -V1(R3/R1)
If V1 = 0
Vout2= V2 * (R4/(R2+R4)) * ((R1+R3)/R1)
Vout = Vout1 + Vout2
So
Vout = -V1(R3/R1) + V2 * (R4/(R2+R4)) * ((R1+R3)/R1)
If R1=R2 and R3=R4
Vout = -V1 (R3/R1) + V2 *(R4/(R2+R4)) ((R2+R4)/R2)
Vout = -(R3/R1)(V2-V1)
Hence we get output proportional to difference between voltages and gain is defined by R3/R1.
We have the input,
V1=3 mV
V2= 5 mV
The output
V0=-(3-5) =2 mV