Op-amp CSIR & GATE

Q.No:1 CSIR Dec-2014

Consider the amplifier circuit comprising of the two op-amps \(A_1\) and \(A_2\) as shown in the figure.
Image
If the input ac signal source has an impedance of \(50 k\Omega\), which of the following statements is true?
(1) \(A_1\) is required in the circuit because the source impedance is much greater than \(r\)
(2) \(A_1\) is required in the circuit because the source impedance is much less than \(R\)
(3) \(A_1\) can be eliminated from the circuit without affecting the overall gain
(4) \(A_1\) is required in the circuit if the output has to follow the phase of the input signal

Check Answer

Option 1_3

Q.No:2 CSIR June-2015

For the circuit and the input sinusoidal waveform shown in the figures below. which is the correct waveform at the output?
Image
(The time scales in all the plots are the same.)
Image
(1)
Image
(2)
Image
(3)
Image
(4)

Check Answer

Option 2

Q.No:3 CSIR June-2015

In the circuit given below, the thermistor has a resistance 3 k\(\Omega\) at 25°C. Its resistance decreases by 150 \(\Omega\) per °C upon heating. The output voltage of the circuit at 30°C is
Image
(1) \(-3.75 V\)
(2) \(-2.25 V\)
(3) \(2.25 V\)
(4) \(3.75 V\)

Check Answer

Option 3

Q.No:4 CSIR Dec-2015

If the parameters \(y\) and \(x\) are related by \(y=\log{(x)}\), then the circuit that can be used to produce an output voltage \(V_0\) varying linearly with \(x\) is
Image
(1)
Image
(2)
Image
(3)
Image
(4)

Check Answer

Option 3

Q.No:5 CSIR June-2016

Given the input voltage \(V_i\), which of the following waveforms correctly represents the output voltage \(V_0\) in the circuit shown below?
Image
Image
(1)
Image
(2)
Image
(3)
Image
(4)

Check Answer

Option 2

Q.No:6 CSIR Dec-2016

In the circuit below, the input voltage \(V_i\) is \(2V\), \(V_{cc}=16 V\), \(R_2=2 k\Omega\) and \(R_L=10 k\Omega\).
Image
The value of \(R_1\) required to deliver \(10 mW\) of power across \(R_L\) is
(1) \(12 k\Omega\)
(2) \(4 k\Omega\)
(3) \(8 k\Omega\)
(4) \(14 k\Omega\)

Check Answer

Option 3

Q.No:7 CSIR June-2017

The gain of the circuit given below is \(-\frac{1}{\omega RC}\).
Image
The modification in the circuit required to introduce a dc feedback is to add a resistor
(1) between a and b
(2) between positive terminal of the op-amp and ground
(3) in series with \(C\)
(4) parallel to \(C\)

Check Answer

Option 4

Q.No:8 CSIR June-2017

In the following operational amplifier circuit \(C_{in}=10 nF, R_{in}=20 k\Omega, R_F=200 k\Omega\) and \(C_F=100 pF\).
Image
The magnitude of the gain at a input signal frequency of \(16 kHz\) is
(1) \(67\)
(2) \(0.15\)
(3) \(0.3\)
(4) \(3.5\)

Check Answer

Option

Q.No:9 CSIR June-2018

The input \(V_i\) to the following circuit is a square wave as shown in the following figure.
Image
Which of the waveforms \(V_0\) best describes the output?
Image
(1)
Image
(2)
Image
(3)
Image
(4)

Check Answer

Option

Q.No:10 CSIR Dec-2018

The input \(V_i\) to the following circuit is a square wave as shown in the following figure.
Image
Which of the waveforms best describes the output?
Image
(1)
Image
(2)
Image
(3)
Image
(4)

Check Answer

Option

Q.No:11 CSIR June-2019

The forward diode current is given by \(I=\kappa T^{\alpha} e^{-E_g/k_B T}(\exp{(eV/k_B T)}-1)\), where \(E_g\) is the band gap of the semiconductor, \(V\) is the voltage drop across the diode, \(T\) is the temperature of the diode operating near room temperature and, \(\alpha\) and \(\kappa\) are constants. A diode is used as a thermal sensor in the circuit shown below.
Image
If \(V\) is measured using an ideal voltmeter to estimate \(T\), the variation of the voltage \(V\) as a function of \(T\) is best approximated by (in the following \(a\) and \(b\) are constants)
(1) \(aT^2+b\)
(2) \(aT+b\)
(3) \(aT^3+b\)
(4) \(aT+bT^2\)

Check Answer

Option 2

Q.No:12 CSIR June-2019

A circuit constructed using op-amp, resistor \(R_1=1 k\Omega\) and capacitors \(C_1=1 \mu F\) and \(C_2=0.1 \mu F\), is shown in the figure below.
Image
This circuit will act as a
(1) high pass filter
(2) low pass filter
(3) band pass filter
(4) band reject filter

Check Answer

Option 1

Q.No:13 CSIR Dec-2019

In the circuit below, \(D\) is an ideal diode, the source voltage \(V_S=V_0\sin{\omega t}\) is a unit amplitude sine wave and \(R_S=R_L\)
Image
The average output voltage, \(V_L\), across the load resistor \(R_L\) is
(1) \(\frac{1}{2\pi}V_0\)
(2) \(\frac{3}{2\pi}V_0\)
(3) \(3V_0\)
(4) \(V_0\)

Check Answer

Option 1

Q.No:14 CSIR Dec-2019

In the circuit diagram of a band pass filter shown below, \(R=10 k\Omega\).
Image
In order to get a lower cut-off frequency of \(150 Hz\) and an upper cut-off frequency of \(10 kHz\), the appropriate values of \(C_1\) and \(C_2\) respectively are
(1) \(0.1 \mu F\) and \(1.5 nF\)
(2) \(0.3 \mu F\) and \(5.0 nF\)
(3) \(1.5 nF\) and \(0.1 \mu F\)
(4) \(5.0 nF\) and \(0.3 \mu F\)

Check Answer

Option 1

Q.No:15 Assam CSIR Dec-2019

The sinusoidal input (in figure A) is applied to the circuit (in figure B), with \(R_1/R_2\) such that the Op-amp is driven to saturation.
Image
The maximum possible value of the output voltage (\(V_{out}\)) is closest is
(1) \(V/\sqrt{2}\)
(2) \(V\)
(3) \(V/2\)
(4) \(2V\)

Check Answer

Option 3

Q.No:16 Assam CSIR Dec-2019

In the circuit shown in the figure below, \(V_1(t)=50\sin{(1000t)} mV\) and \(V_2(t)=10\sin{(3000t)} mV\). The cut-off frequency of the low pass filter is \(200 Hz\).
Image
The frequency of the output voltage \(V_0(t)\) is closest to
(1) \(100 Hz\)
(2) \(130 Hz\)
(3) \(160 Hz\)
(4) \(190 Hz\)

Check Answer

Option 3

Q.No:17 CSIR June-2020

The \(I\)-\(V\) characteristics of the diode \(D\) in the circuit below is given by \[ I=I_S\left(e^{\frac{qV}{k_B T}}-1\right) \] where \(I_S\) is the reverse saturation current, \(V\) is the voltage across the diode and \(T\) is the absolute temperature.
Image
If the input voltage is \(V_{in}\), then the output voltage \(V_{out}\) is
(a) \(I_S R\ln{\left(\frac{qV_{in}}{k_B T}+1\right)}\)
(b) \(\frac{1}{q}k_B T\ln{\left(\frac{q(V_{in}+I_S R)}{k_B T}\right)}\)
(c) \(\frac{1}{q}k_B T\ln{\left(\frac{V_{in}}{I_S R}+1\right)}\)
(d) \(-\frac{1}{q}k_B T\ln{\left(\frac{V_{in}}{I_S R}+1\right)}\)

Check Answer

Option c

Q.No:18 CSIR June-2020

In the circuit shown below, the gain of the op-amp in the middle of its bandwidth is \(10^5\). A sinusoidal voltage with angular frequency \(\omega=100 rad/s\) is applied to the input of the op-amp.
Image
The phase difference between the input and the output voltage is
(a) \(5\pi/4\)
(b) \(3\pi/4\)
(c) \(\pi/2\)
(d) \(\pi\)

Check Answer

Option a

Q.No:19 CSIR Feb-2022

The pressure of a gas in a vessel needs be maintained between \(1.5\) bar to \(2.5\) bar in an experiment. The vessel is fitted with a pressure transducer that generates \(4\)mA to \(20\)mA current for pressure in the range 1 bar to 5 bar. The current output of the transducer has a linear dependence on the pressure.
Image
The reference voltages \(V_1\) and \(V_2\) in the comparators in the circuit (shown in figure above) suitable for the desired operating conditions are respectively
(1) \(2\)V and \(10\) V
(2) \(2\)V and \(5\) V
(3) \(3\)V and \(10\) V
(4) \(3\)V and \(5\) V

Check Answer

Option 4

Q.No:20 CSIR Feb-2022

In the following circuit the input voltage \(V_{in}\) is such that \(|V_{in}|<|V_{sat}|\) where \(V_{sat}\) is the saturation voltage of the op-amp (Assume that the diode is an ideal one and \(R_LC\) is much larger than the duration of the measurement.)
Image
For the input voltage as shown in the figure above the output voltage \(V_{out}\) is best represented by
Image
(1)
Image
(2)
Image
(3)
Image
(4)

Check Answer

Option 1

Q.No:21 CSIR Sep-2022

An amplifier with a voltage gain of 40 dB without feedback is used in an electronic circuit. A negative feedback with a fraction 1/40 is connected to the input of this amplifier. The net gain of the amplifier in the circuit is closest to
(1) 40 dB
(2) 37 dB
(3) 29 dB
(4) 20 dB

Check Answer

Option 3

Q.No:22 CSIR June-2023

In the circuit below, there is a voltage drop of \(0.7 \hspace{1mm} V\) across the diode \(D\) in forward bias, while no current flows through it in reverse bias.
Image
If \(V_{in}\) is a sinusoidal signal of frequency \(50 \hspace{1mm} Hz\) with an RSM value of \(1 \hspace{1mm} V\), the maximum current that flows through the diode is closest to
1) \(1 \hspace{1mm}A\)
2) \(0.14 \hspace{1mm}A\)
3) \(0 \hspace{1mm}A\)
4) \(0.07 \hspace{1mm}A\)

Check Answer

Option 3

Q.No:23 CSIR Dec-2023

A circuit with operational amplifier is shown in the figure below.
Image
The output voltage waveform \(V_{out}\) will be closest to
Image
Option A
Image
Option B
Image
Option C
Image
Option D

Check Answer

Option A

Q.No:24 CSIR Dec-2023

In the circuit shown below using an ideal opamp, inputs \( V_j \) (j = 1, 2, 3, 4) may either be open or connected to a \( -5 V\) battery.
Image
The minimum measurement range of a voltmeter to measure all possible values of \( V_{\text{out}} \) is
1) 10 V
2) 30 V
3) 3 V
4) 1 V

Check Answer

Option 1

Q.No:25 CSIR June-2024

A train of square wave pulses is given to the input of an ideal opamp circuit shown below.
Image
Given that the time period of the input pulses \( T \ll RC \) and the opamp does not get into saturation, which of the following best represents the output waveform?
Image
Option 1
Image
Option 2
Image
Option 3
Image
Option 4

Check Answer

Option 4

Q.No:26 CSIR Dec-2024

In the circuit shown below, the input voltage (in volts) is given by \[ V_{\text{in}}(t) = 0.1 \sin(\omega_1 t) + \sin(\omega_2 t), \] where \[ \omega_1 = 5 \times 10^{2}\ \text{s}^{-1}, \qquad \omega_2 = 5 \times 10^{4}\ \text{s}^{-1}. \] The time-varying part of the output voltage \(V_{\text{out}}(t)\) (in volts) is closest to
Image
1) \(-0.2 \sin(\omega_1 t) - 2 \sin(\omega_2 t)\)
2) \(-0.2 \sin(\omega_1 t) + 0.2 \cos(\omega_2 t)\)
3) \(2 \cos(\omega_1 t) + 0.2 \cos(\omega_2 t)\)
4) \(2 \cos(\omega_1 t) - 2 \sin(\omega_2 t)\)

Check Answer

Option 2

Q.No:1 GATE-2012

Consider the following OP-AMP circuit.
Image
Which one of the following correctly represents the output \(V_{\text{out}}\) corresponding to the input \(V_{\text{in}}\)?
Image
(A)
Image
(B)
Image
(C)
Image
(D)

Check Answer

Option A

Q.No:2 GATE-2012

In the following circuit, for the output voltage to be \(V_0=(-V_1+V_2/2)\), the ratio \(R_1/R_2\) is
Image
(A) \(1/2\)
(B) \(1\)
(C) \(2\)
(D) \(3\)

Check Answer

Option D

Q.No:3 GATE-2013

Consider the following circuit
Image
For this circuit the frequency above which the gain will decrease by \(20 dB\) per decade is
(A) \(15.9 kHz\)
(B) \(1.2 kHz\)
(C) \(5.6 kHz\)
(D) \(22.5 kHz\)

Check Answer

Option A

Q.No:4 GATE-2013

Consider the following circuit
Image
At \(1.2 kHz\) the closed loop gain is
(A) \(1\)
(B) \(1.5\)
(C) \(3\)
(D) \(0.5\)

Check Answer

Option B

Q.No:5 GATE-2014

The input given to an ideal OP-AMP integrator circuit is
Image
The correct output of the integrator circuit is
Image
(A)
Image
(B)
Image
(C)
Image
(D)

Check Answer

Option A

Q.No:6 GATE-2014

A low pass filter is formed by a resistance \(R\) and a capacitance \(C\). At the cut-off angular frequency \(\omega_c=\frac{1}{RC}\), the voltage gain and the phase of the output voltage relative to the input voltage respectively, are
(A) \(0.71\) and \(45^{\circ}\)
(B) \(0.71\) and \(-45^{\circ}\)
(C) \(0.5\) and \(-90^{\circ}\)
(D) \(0.5\) and \(90^{\circ}\)

Check Answer

Option B

Q.No:7 GATE-2015

Consider the circuit shown in the figure, where \(RC=1\). For an input signal \(V_i\) shown below, choose the correct \(V_0\) from the options:
Image
Image
(A)
Image
(B)
Image
(C)
Image
(D)

Check Answer

Option B

Q.No:8 GATE-2015

In the given circuit, if the open loop gain \(A=10^5\), the feedback configuration and the closed loop gain \(A_f\) are
Image
(A) series-shunt, \(A_f=9\)
(B) series-series, \(A_f=10\)
(C) series-shunt, \(A_f=10\)
(D) series-shunt, \(A_f=10\)

Check Answer

Option C

Q.No:9 GATE-2017

Consider an ideal operational amplifier as shown in the figure below with \(R_1=5 k\Omega, R_2=1 k\Omega, R_L=100 k\Omega\). For an applied input voltage \(V=10 mV\), the current passing through \(R_2\) is __________. \(\mu A\). (up to two decimal places).
Image

Check Answer

Ans 9.80-10.20

Q.No:10 GATE-2018

For an operational amplifier (ideal) circuit shown below,
Image
if \(V_1=1 V\) and \(V_2=2 V\), the value of \(V_0\) is________________. V (up to one decimal place).

Check Answer

Ans (-3.7 TO -3.5)

Q.No:11 GATE-2019

For the following circuit, what is the magnitude of \(V_{\text{out}}\) if \(V_{\text{in}}=1.5 V\)?
Image
(A) \(0.015 V\)
(B) \(0.15 V\)
(C) \(15 V\)
(D) \(150 V\)

Check Answer

Option C

Q.No:12 GATE-2020

The input voltage (\(V_{\text{in}}\)) to the circuit shown in the figure is \(2\cos{(100t)} V\). The output voltage (\(V_{\text{out}}\)) is \(2\cos{(100t-\frac{\pi}{2})} V\). If \(R=1 k\Omega\), the value of \(C\) (in \(\mu F\)) is
Image
(A) \(0.1\)
(B) \(1\)
(C) \(10\)
(D) \(100\)

Check Answer

Option C

Q.No:13 GATE-2022

For the Op-Amp circuit shown below, choose the correct output waveform corresponding to the input \(V_{in}=1.5\sin{20\pi t}\) (in Volts). The saturation voltage for this circuit is \(V_{sat}=\pm 10\hspace{1mm}\text{V}\).
Image
Image
(a)
Image
(b)
Image
(c)
Image
(d)

Check Answer

Option a

Q.No:14 GATE-2022

For an Op-Amp based negative feedback, non-inverting amplifier, which of the following statements are true?
(a) Closed loop gain \(<\) Open loop gain
(b) Closed loop bandwidth \(<\) Open loop bandwidth
(c) Closed loop input impedance \(>\) Open loop input impedance
(d) Closed loop output impedance \(<\) Open loop output impedance

Check Answer

Option a,c,d

Q.No:15 GATE-2023

For a transistor amplifier, the frequency response is such that the mid band voltage gain is 200. The cutoff frequencies are 20 Hz and 20 kHz. What is the ratio (rounded off to two decimal places) of the voltage gain at 10 Hz to that at 100 kHz?

Check Answer

Ans 2.20-2.36

Q.No:16 GATE-2024

Consider the operational amplifier circuit shown in figure.
Image
The output voltage \( V_0 \) is ________ V (in integer).

Check Answer

Ans 12

Q.No:17 GATE-2025

The figure shows an op-amp circuit with a 5.1 V Zener diode in the feedback loop. The op-amp runs from ±15 V supplies. If a +1 V signal is applied at the input, the output voltage (rounded off to one decimal place) is
Image

Check Answer

Ans 7 to 7.2

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