GATE ECE 2019 PYQ

In the circuit shown, the threshold voltages of the pMOS (| |) and nMOS ( ) transistors are both equal to 1 V. All the transistors have the same output resistance of 6 M . The other parameters are lis

A CMOS inverter, designed to have a mid-point voltage equal to half of , as shown in the figure, has the following parameters: =3V ; for nMOS ; for pMOS The ratio of to is equal to ____(rounded off to

In the circuit shown, is a 10 V square wave of period, T=4 ms with R= 500 and C = 10 . The capacitor is initially uncharged at t=0, and the diode is assumed to be ideal. The voltage across the capacit

In thecircuit shown, is a square wave of period T with maximum and minimum values of 8 V and -10 V, respectively. Assume that the diode is ideal and . The average value of is____ volts (rounded off to

In the circuit shown, . The other relevant parameters are mentioned in the figure. Ignoring the effect of channel length modulation and the body effect, the value of is _____mA(rounded off to 1 decima

In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are 20 V and 60 mA, respectively. The values of are , respectively. What is the range of that will maintain the Z

A linear Hamming code is used to map 4-bit messages to 7-bit codewords. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111, and the message 0011 is mapped to the code

A single bit, equally likely to be 0 and 1, is to be sent across an additive white Gaussian noise (AWGN) channel with power spectral density . Binary signaling, with and , is used for the transmission

The baseband signal m(t) shown in the figure is phase-modulated to generate the PM signal . The time t on the x-axis in the figure is in milliseconds. If the carrier frequency is =50kHz and , then the

A random variable X takes values -1 and +1 with probabilities 0.2 and 0.8, respectively. It is transmitted across a channel which adds noise N, so that the random variable at the channel output is Y=X

Let a random process Y(t) be described as Y(t)=h(t)*X(t)+Z(t), where X(t) is a white noise process with power spectral density W/Hz. The filter h(t) has a magnitude response given by |H(f)|=0.5 for ,

A voice signal m(t) is in the frequency range 5 kHz to 15 kHz. The signal is amplitude-modulated to generate an AM signal , where =600kHz. The AM signal f(t) is to be digitized and archived. This is d

Consider a causal second-order system with the transfer function with a unit-step as an input. Let C(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady

For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles and the number of system zeros in the frequency range is

Let the state-space representation of an LTI system be , where A, B, C are matrices, d is a scalar, u(t) is the input to the system, and y(t) is its output. Let and d=0. Which one of the following opt

Consider a unity feedback system, as in the figure shown, with an integral compensator and open-loop transfer function where . The positive value of K for which there are exactly two poles of the unit

The block diagram of a system is illustrated in the figure shown, where X(s) is the input and Y(s) is the output. The transfer function is

In the circuits shown, the threshold voltage of each Nmos transistor is 0.6 V. Ignoring the effect of channel length modulation and body bias, the values of Vout1 and Vout2, respectively, in volts, ar

In the circuit shown, A and B are the inputs and Fis the output. What is the functionality of the circuit?

In the circuit shown, the clock frequency, i.e., the frequency of the Clk signal, is 12?kHz. The frequency of the signal at is____ kHz.

In the circuit shown, what are the values of F for EN=0 and EN=1, respectively?

A standard CMOS inverter is designed with equal rise and fall times ( ). If the width of the pMOS transistor in the inverter is increased, what would be the effect on the LOW noise margin ( ) and the

The state transition diagram for the circuit shown is

What is the electric flux ( ) through a quarter-cylinder of height H (as shown in the figure) due to an infinitely long line charge along the axis of the cylinder with a charge density of Q?

In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell's equations (in their standard form). Match the left-hand side wi

Two identical copper wires W1 and W2, placed in parallel as shown in the figure, carry currents I and 2I, respectively, in opposite directions. If the two wires are separated by a distance of 4r, then

A rectangular waveguide of width w and height h has cut-off frequencies for modes in the ratio 1:2. The aspect ratio w/h, rounded off to two decimal places, is ___________

The dispersion equation of a waveguide,which relates the wavenumber kto the frequency , is where the speed of light m/s, and is a constant. If the group velocity is m/s, then the phase velocity is

In an ideal pn junction with an ideality factor of 1 at T=300 K, the magnitude of the reverse-bias voltage required to reach 75% of its reverse saturation current, rounded off to 2 decimal places, is

The correct circuit representation of the structure shown in the figure is

Which one of the following options describes correctly the equilibrium band diagram at T=300 K of a Silicon configuration shown in the figure?

A Germanium sample of dimensions 1cmx1cm is illuminated with a 20 mW, 600 nm laser light source as shown in the figure. The illuminated sample surface has a 100 nm of loss-less Silicon dioxide layer t

The quantum efficiency ( ) and responsivity (R) at a wavelength in a p-i-n photodetector are related by

Consider a long-channel MOSFET with a channel length 1 and width 10 . The device parameters are acceptor concentration , electron mobility , oxide capacitance/area , threshold voltage . The drain satu

The figure shows the high-frequency C-V curve of a MOS capacitor (at T = 300 K) with and no oxide charges. The flat-band, inversion, and accumulation conditions are represented, respectively, by the p

In the circuit shown, if volts, and , then the steady-state current , in milliamperes (mA), is

Consider the two-port resistive network shown in the figure. When an excitation of 5 V is applied across Port 1, and Port 2 is shorted, the current through the short circuit at Port 2 is measured to b

The RC circuit shown below has a variable resistance R(t) given by the following expression: where , and C=1F. We are also given that and the source voltage is . If the current at time t=0 is 1A, then

Consider a six-point decimation-in-time Fast Fourier Transform (FFT) algorithm, for which the signal-flow graph corresponding to X[1] is shown in the figure. Let . In the figure, what should be the va

Let h[n] be a length-7 discrete-time finite impulse response filter, given by h[0]=4, h[1]=3, h[2]=2, h[3]=1, h[-1]=-3, h[-2]=-2, h[-3]=-1, and h[n] is zero for . A length-3 finite impulse response ap

Let Y(s) be the unit-step response of a causal system having a transfer function that is, . The forced response of the system is

Consider the signal , where t is in seconds. Its fundamental time period, in seconds, is ____________

Let H(z) be the z-transform of a real-valued discrete-time signal h[n]. If has a zero at , and P(z) has a total of four zeros, which one of the following plots represents all the zeros correctly?

It is desired to find a three-tap causal filter which gives zero signal as an output to an input of the form where are arbitrary real numbers. The desired three-tap filter is given by and What are the