GATE ECE 2022 PYQ

A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function of the circuit is also provided (here, is the angular frequency in rad/s). The values of a

For the following circuit with an ideal OPAMP, the difference between the maximum and the minimum values of the capacitor voltage ( ) is __________.

An ideal OPAMP circuit with a sinusoidal input is shown in the figure. The 3 dB frequency is the frequency at which the magnitude of the voltage gain decreases by 3 dB from the maximum value. Which of

Consider the circuit shown with an ideal long channel nMOSFET (enhancementmode, substrate is connected to the source). The transistor is appropriately biased in the saturation region with and such tha

Consider an ideal long channel nMOSFET (enhancement-mode) with gate length and width . The product of electron mobility ( ) and oxide capacitance per unit area ( ) is . The threshold voltage of the tr

The ideal long channel nMOSFET and pMOSFET devices shown in the circuits have threshold voltages of 1 V and -1 V, respectively. The MOSFET substrates are connected to their respective sources. Ignore

A circuit and the characteristics of the diode (D) in it are shown. The ratio of the minimum to the maximum small signal voltage gain is ________ (rounded off to two decimal places)

Consider the CMOS circuit shown in the figure (substrates are connected to their respective sources). The gate width ( ) to gate length ( ) ratios of the transistors are as shown. Both the transistors

Consider an FM broadcast that employs the pre-emphasis filter with frequency response where rad/sec. For the network shown in the figure to act as a corresponding de-emphasis filter, the appropriate p

Consider communication over a memoryless binary symmetric channel using a (7, 4) Hamming code. Each transmitted bit is received correctly with probability , and flipped with probability . For each cod

A symbol stream contains alternate QPSK and 16-QAM symbols. If symbols from this stream are transmitted at the rate of 1 mega-symbols per second, the raw (uncoded) data rate is _______ mega-bits per s

The transition diagram of a discrete memoryless channel with three input symbols and three output symbols is shown in the figure. The transition probabilities are as marked. The parameter lies in the

Consider a real valued source whose samples are independent and identically distributed random variables with the probability density function, , as shown in the figure. Consider a 1 bit quantizer tha

Consider a channel over which either symbol or symbol is transmitted. Let the output of the channel Y be the input to a maximum likelihood (ML) detector at the receiver. The conditional probability de

Let denote the entropy of a discrete random variable taking possible distinct real values. Which of the following statements is/are necessarily true?

The frequency response of a linear time-invariant system has magnitude as shown in the figure. Statement I: The system is necessarily a pure delay system for inputs which are bandlimited to . Statemen

Consider a closed-loop control system with unity negative feedback and in the forward path, where the gain . The complete Nyquist plot of the transfer function is shown in the figure. Note that the Ny

Consider an even polynomial given by , where is an unknown real parameter. The complete range of for which has all its roots on the imaginary axis is ________.

Two linear time-invariant systems with transfer functions have unit step responses and , respectively. Which of the following statements is/are true?

The root-locus plot of a closed-loop system with unity negative feedback and transfer function in the forward path is shown in the figure. Note that is varied from 0 to . Select the transfer function

The block diagram of a closed-loop control system is shown in the figure. R(s),Y(s) and D(s) are the Laplace transforms of the time-domain signals and , respectively. Let the error signal be defined a

Consider the circuit shown with an ideal OPAMP. The output voltage is __________V (rounded off to two decimal places).

Consider a Boolean gate (D) where the output is related to the inputs and as, , where + denotes logical OR operation. The Boolean inputs '0' and '1' are also available separately. Using instances of o

Select the Boolean function(s) equivalent to , where , and are Boolean variables, and + denotes logical OR operation.

Select the correct statement(s) regarding CMOS implementation of NOT gates.

For the circuit shown, the clock frequency is and the duty cycle is 25%. For the signal at the Q output of the Flip-Flop, _______.

Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for are _______

A state transition diagram with states A, B, and C, and transition probabilities is shown in the figure (e.g., denotes the probability of transition from state A to B). For this state diagram, select

In a circuit, there is a series connection of an ideal resistor and an ideal capacitor. The conduction current (in Amperes) through the resistor is . The displacement current (in Amperes) through the

Consider the following wave equation, Which of the given options is/are solution(s) to the given wave equation?

In an electrostatic field, the electric displacement density vector, , is given by , where are the unit vectors along x-axis, y-axis, and z-axis, respectively. Consider a cubical region R centered at

A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of cm, with air as the dielectric. Assume the speed of light in air to be m/s. The frequency/frequencies of TM

Select the CORRECT statement(s) regarding semiconductor devices.

An ideal MOS capacitor (p-type semiconductor) is shown in the figure. The MOS capacitor is under strong inversion with . The corresponding inversion charge density is . Assume oxide capacitance per un

In a non-degenerate bulk semiconductor with electron density , the value of , where and denote the bottom of the conduction band energy and electron Fermi level energy, respectively. Assume thermal vo

Consider a long rectangular bar of direct bandgap p-type semiconductor. The equilibrium hole density is and the intrinsic carrier concentration is . Electron and hole diffusion lengths are and , respe

A p-type semiconductor with zero electric field is under illumination (low level injection) in steady state condition. Excess minority carrier density is zero at , where is the diffusion length of ele

The current in the circuit shown is ________

Consider the circuit shown in the figure. The current flowing through the resistor is _________.

For the circuit shown, the locus of the impedance is plotted as increases from zero to infinity. The values of and are:

A linear 2-port network is shown in Fig. (a). An ideal DC voltage source of 10 V is connected across Port 1. A variable resistance R is connected across Port 2. As R is varied, the measured voltage an

Consider the circuit shown in the figure with input in volts. The sinusoidal steady state current flowing through the circuit is shown graphically (where is in seconds). The circuit element can be ___

The outputs of four systems corresponding to the input signal , for all time , are shown in the figure. Based on the given information, which of the four systems is/are definitely NOT LTI (linear and

For a vector , the 8-point discrete Fourier transform (DFT) is denoted by , where Here, . If and , then the value of is _________ (rounded off to one decimal place).

Let and , where denotes the unit step function. If denotes the convolution of and , then _________ (rounded off to one decimal place).

The Fourier transform of the signal is _________.