GATE ECE 2018 PYQ

In the circuit shown below, the op-amp is ideal and Zener voltage of the diode is 2.5 volts. At the input, unit step voltage is applied, i.e. volts. Also, at t= 0, the voltage across each of the capac

A DC current of 26 flows through the circuit shown. The diode in the circuit is forward biased and it has an ideality factor of one. At the quiescent point, the diode has a junction capacitance of 0.5

An op-amp based circuit is implemented as shown below. In the above circuit, assume the op-amp to be ideal. The voltage (in volts, correct to one decimal place) at node A, connected to the negative in

The circuit shown in the figure is used to provide regulated voltage (5 V) across the 1k resistor. Assume that the Zener diode has a constant reverse breakdown voltage for a current range, starting fr

A good transimpedance amplifier has

In the circuit shown below, the (W/L) value for is twice that for . The two nMOS transistors are otherwise identical. The threshold voltage for both transistors is 1.0V. Note that must be 1.0 V. The v

Two identical nMOS transistors and are connected as shown below. The circuit is used as an amplifier with the input connected between G and S terminals and the output taken between D and S terminals.

Consider a white Gaussian noise process N(t) with two-sided power spectral density as input to a filter with impulse response (where t is in seconds) resulting in output Y(t). The power in Y(t) in wat

Consider a binary channel code in which each codeword has a fixed length of 5 bits. The Hamming distance between any pair of distinct codewords in this code is at least 2. The maximum number of codewo

Let . It is given that . The signal is applied to the input of a non-linear device, whose output is related to the input ,where a and b are positive constants. The output of the non-linear device is p

Consider the following amplitude modulated signal: The ratio (accurate to three decimal places) of the power of the message signal to the power of the carrier signal is __________.

A random variable X takes values -0.5 and 0.5 with probabilities 1/4 and 3/4, respectively. The noisy observation of X is Y = X + Z, where Z has uniform probability density over the interval (-1, 1).

A binary source generates symbols which are transmitted over a noisy channel. The probability of transmitting X= 1 is 0.5. Input to the threshold detector is R= X + N. The probability density function

The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability of feedback controllers. Identify which of the following statements is FALSE:

For a unity feedback control system with the forward path transfer function The peak resonant magnitude , of the closed-loop frequency response is 2. The corresponding value of the gain K (correct to

The figure below shows the Bode magnitude and phase plots of a stable transfer function Consider the negative unity feedback configuration with gain k in the feedforward path. The closed loop is stabl

The state equation and the output equation of a control system are given below: The transfer function representation of the system is

A function F(A,B,C) defined by three Boolean variables A, B and C when expressed as sum of products is given by where, are complements of the respective variable. The product of sums (POS) form of the

A 2 2 ROM array is built with the help of diodes as shown in the circuit below. Here W0 and W1 are signals that select the word lines and B0 and B1 are signals that are output of the sense amps based

The logic function f(X,Y) realized by the given circuit is

The logic gates shown in the digital circuit below use strong pull-down nMOS transistors for LOW logic level at the outputs. When the pull-downs are off, high-value resistors set the output logic leve

A traffic signal cycles from GREEN to YELLOW, YELLOW to RED and RED to GREEN. In each cycle, GREEN is turned on for 70 seconds, YELLOW is turned on for 5 seconds and the RED is turned on for 75 second

In the circuit shown below, a positive edge-triggered D Flip-Flop is used for sampling input data using clock CK. The XOR gate outputs 3.3 volts for logic HIGH and 0 volts for logic LOW levels. The da

A four-variable Boolean function is realized using 4x1 multiplexers as shown in the figure. The minimized expression for F(U,V,W, X) is

A lossy transmission line has resistance per unit length R = 0.05 /m. The line is distortionless and has characteristic impedance of 50 . The attenuation constant (in Np/m, correct to three decimal pl

A uniform plane wave traveling in free space and having the electric field is incident on a dielectric medium (relative permittivity 1, relative permeability = 1) as shown in the figure and there is n

The cutoff frequency of mode of an air filled rectangular waveguide having inner dimensions is twice that of the dominant mode. When the waveguide is operated at a frequency which is 25% higher than t

The points P, Q, and R shown on the Smith chart (normalized impedance chart) in the following figure represent:

The distance (in meters) a wave has to propagate in a medium having a skin depth of 0.1 m so that the amplitude of the wave attenuates by 20 dB, is

A junction is made between with doping density and pSi with doping density . Given: Boltzmann constant , electronic charge . Assume 100% acceptor ionization. At room temperature (T = 300K), the magnit

In a p-n junction diode at equilibrium, which one of the following statements is NOT TRUE?

A solar cell of area 1.0 , operating at 1.0 sun intensity, has a short circuit current of 20 mA, and an open circuit voltage of 0.65 V. Assuming room temperature operation and thermal equivalent volta

A p-n step junction diode with a contact potential of 0.65V has a depletion width of 1 m at equilibrium. The forward voltage (in volts, correct to two decimal places) at which this width reduces to 0.

Red (R), Green (G) and Blue (B) Light Emitting Diodes (LEDs) were fabricated using p-n junctions of three different inorganic semiconductors having different band-gaps. The builtin voltages of red, gr

There are two photolithography systems: one with light source of wavelength = 156 nm (System 1) and another with light source of wavelength = 325 nm (System 2). Both photolithography systems are other

Consider the network shown below with . The network is connected to a constant voltage source of 11V. The magnitude of the current (in amperes, accurate to two decimal places) through the source is __

The ABCD matrix for a two-port network is defined by: The parameter B for the given two-port network (in ohms, correct to two decimal places) is _______.

For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) 0.5 second after closing the switch is _______.

For the circuit given in the figure, the voltage (in volts) across the capacitor is

The input 4sinc(2t) is fed to a Hilbert transformer to obtain y(t), as shown in the figure below: Here . The value (accurate to two decimal places) of is _______.

A band limited low-pass signal x(t) of bandwidth 5 kHz is sampled at a sampling rate . The signal x(t) is reconstructed using the reconstruction filter H(f) whose magnitude response is shown below: Th

Let x(t) be a periodic function with period T = 10. The Fourier series coefficients for this series are denoted by , that is The same function x(t) can also be considered function with period . Let be

Let the input be u and the output be y of a system, and the other parameters are real constants. Identify which among the following systems is not a linear system:

A discrete-time all-pass system has two of its poles at 0.25 and 2 . Which one of the following statements about the system is TRUE?

Let , be 8-point DFT of a sequence , where . The value (correct to two decimal places) of is ______.