GATE ECE 2024 PYQ

As shown in the circuit, the initial voltage across the capacitor is , with the switch being open. The switch is then closed at . The total energy dissipated in the ideal Zener diode ( ) after the swi

In the circuit shown, the step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward biased condition. If the input voltage (in Volts) is and the average value of load

In the circuit below, assume that the long channel NMOS transistor is biased in saturation. The small signal trans-conductance of the transistor is Neglect body effect, channel length modulation and i

The opamps in the circuit shown are ideal, but have saturation voltages of . Assume that the initial inductor current is . The input voltage is a triangular signal with peak voltages of and time perio

For the closed loop amplifier circuit shown below, the magnitude of open loop low frequency small signal voltage gain is 40. All the transistors are biased in saturation. The current source Iss is ide

In the circuit below, the opamp is ideal. If the circuit is to show sustained oscillations, the respective values of and the corresponding frequency of oscillation are ______

In the circuit shown below, the transistors and are biased in saturation. Their small signal transconductances are and respectively. Neglect body effect, channel length modulation and intrinsic device

A digital communication system transmits through a noiseless bandlimited channel . The received signal at the output of the receiving filter is given by where are the symbols and is the overall system

A source transmits a symbol , taken from with equal probability, over an additive white Gaussian noise channel. The received noisy symbol is given by , where the noise is zero mean with variance 4 and

A source transmits symbols from an alphabet of size 16. The value of maximum achievable entropy (in bits) is ______

Suppose and are independent and identically distributed random variables that are distributed uniformly in the interval . The probability that is ______

Let be a random process, where amplitude and phase are independent of each other, and are uniformly distributed in the intervals and , respectively. is fed to an 8-bit uniform mid-rise type quantizer.

The information bit sequence (11101010 1) is to be transmitted by encoding with Cyclic Redundancy Check 4 (CRC-4) code, for which the generator polynomial is . The encoded sequence of bits is ______

A White Gaussian noise with zero mean and power spectral density , when applied to a first-order low pass filter produces an output . At a particular time , the variance of the random variable is ____

An amplitude modulator has output (in Volts) The carrier power normalized to resistance is 50 Watts. The ratio of the total sideband power to the total power is . The value of (in Volts. rounded off t

A satellite attitude control system, as shown below, has a plant with transfer function cascaded with a compensator , where and are positive real constants. In order for the closed-loop system to have

In the feedback control system shown in the figure below . , and are the Laplace transforms of , and , respectively. If the input is a unit step function, then _____

Consider a system represented in state space as Which of the state space representations given below has/have the same transfer function as that of ?

Consider a unity negative feedback control system with forward path gain as shown. The impulse response of the closed-loop system decays faster than if ______

In the context of Bode magnitude plots, decade is the same as _______

The propagation delay of the shown in the circuit is . Consider the propagation delay of the inverter as . If is set to 1 then the output is ______

A 4-bit priority encoder has inputs and in descending order of priority. The two-bit output is generated as 00,01, 10, and 11 corresponding to inputs , and , respectively. The Boolean expression of th

A full scale sinusoidal signal is applied to a 10-bit ADC. The fundamental signal component in the ADC output has a normalized power of , and the total noise and distortion normalized power is . The e

The sequence of states of the given synchronous sequential circuit is ______

For the Boolean function the essential prime implicants are

In a number system of base , the equation has as one of its solutions. The value of is ______

Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances and (indicated in the fi

A uniform plane wave with electric field is travelling in the air (relative permittivity, and relative permeability, ) in the direction is a positive constant, is the unit vector along the axis). It i

Let and be the unit vectors along and axes, respectively and let be a positive constant. Which one of the following statements is true for the vector fields and

A lossless transmission line with characteristic impedance is terminated with an unknown load. The magnitude of the reflection co-efficient is . As one moves towards the generator from the load, the m

The free electron concentration profile in a doped semiconductor at equilibrium is shown in the figure, where the points , and mark three different positions. Which of the following statements is/are

Consider a MOS capacitor made with p-type silicon. It has an oxide thickness of , a fixed positive oxide charge of at the oxide-silicon interface, and a metal work function of . Assume that the relati

An NMOS transistor operating in the linear region has of at of . Keeping constant, the is increased to . Given that , the transconductance at the new operating point (in , rounded off to two decimal p

For non-degenerately doped n-type silicon, which one of the following plots represents the temperature dependence of free electron concentration ?

Which of the following statements is/are true for a BJT with respect to its DC current gain ?

A non-degenerate n-type semiconductor has 5\% neutral dopant atoms. Its Fermi level is located at below the conduction band and the donor energy level has a degeneracy of 2. Assuming the thermal volta

The photocurrent of a PN junction diode solar cell is . The voltage corresponding to its maximum power point is . If the thermal voltage is , the reverse saturation current of the diode (in , rounded

A machine has a 32-bit architecture with 1-word long instructions. It has 24 registers and supports an instruction set of size 40. Each instruction has five distinct fields, namely opcode, two source

In the network shown below, maximum power is to be transferred to the load The value of (in ) is _______

For the two port network shown below, the value of the parameter (in Siemens) is _____

In the circuit given below, the switch S was kept open for a sufficiently long time and is closed at time . The time constant (in seconds) of the circuit for is ______

In the given circuit, the current (in ) is _____

A continuous time signal is sampled at a rate of . The sampled signal when passed through an LTI system with impulse response produces an output . The expression for is _____

Consider two continuous time signals and as shown below If denotes the Fourier transform of , then the Fourier transform of is ____

The relationship between any -length sequence and its corresponding -point discrete Fourier transform is defined as . Another sequence is formed as below For the sequence , the value of is _______

A causal and stable LTI system with impulse response produces an output for an input signal . A signal is applied to another causal and stable LTI system with impulse response . The resulting output i

The radian frequency value(s) for which the discrete time sinusoidal signal has a period of 40 is/are _____

For a causal discrete-time LTI system with transfer function which of the following statements is/are true?