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

The quantum efficiencyand responsivity (R) at a wavelength (in µm) in a p-i-n photo-detector are related by

A Germanium sample of dimension 1cm1cm is illuminated with a 20mW, 600nm laser light source as shown in the figure. The illuminated sample surface has a 100nm of loss less Silicon dioxide layer that reflects

one-fourth of the incident light. From the remaining light, on-third of the power is reflected from the silicon dioxide Germanium interface, one-third is absorbed in the Germanium layer and one-third is transmitted through the other side of the sample. If the absorption coefficient of Germanium at 600nm isand the band gap is 0.66eV, the thickness of the Germanium layer, rounded off to 3 decimal places is ______µm

Consider the signal ,

where t is in seconds. Its fundamental time period, in seconds, 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 be 1 A (see (a) in the figure). Now, if an excitation of 5V is applied across Port 2 and Port 1 is shorted (see (b) in the figure), what is the current through the short circuit at Port 1?

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

A linear Hamming code is used to map 4-bit message to 7-bit code words. The encoder mapping is linear. If the message 0001 is mapped to the codeword 0000111 and the message 0011 is mapped to the codeword 1100110, then the message 0010 is mapped to

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 unity feedback system on the  axis is equal to __________ (rounded off to two decimal places).

The value of the contour integral

Evaluated over the unit circle1 is ________

The families of curves represented by the solution of the equation

For n=-1 and n=+1, respectively, are

Which one of the following functions is analytic over the entire complex plane?

Consider the homogeneous ordinary differential equation

with as a general solution. Given that

The value of , rounded off to two decimal places, is ____________.

A rectangular waveguide of width w and height h has cut-off frequencies for  and 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 k to the frequency, is  

Where the speed of light  and  is a constant. If the group velocity is , then the phase velocity is

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

In the circuit shown,and. The other relevant parameters are mentioned in the figure. Ignoring the effect of channel length modulation and the body effect, the value ofis ______mA [Rounded off to 1 decimal place]

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  is its output.  and
d = 0. Which one of the following options for A and C will ensure that the transfer function of this LTI system is

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 marginand the HIGH noise margin?

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 poles represents all the zeros correctly?

In the circuit shown, the threshold voltages of the pMOSand nMOStransistor are both equal to 1V. All the transistor have the same output resistance of 6MΩ. The other parameter are listed below:        

andare the carrier mobilities andis the capacitance per unit area. Ignoring the effect of channel length modulation and body bias, the gain of the circuit is _______ (rounded off to 1 decimal place)

Consider a long channel MOSFET with a channel length 1µm and width 10µm. The device parameters are acceptor concentration; electron mobility, oxide capacitance/area , threshold voltage. The rain saturation currentfor a gate voltage of 5V is ______ mA [rounded off to two decimal places]        

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, are        

 CMOS inverter, designed to have a mid-point voltage  equal to half of  as shown in the figure, has the following parameters:

The ratio of  is equal to ___________ (rounded off to 3 decimal places).

The number of distinct Eigen values of the matrix

 Is equal to _______

Let Y(s) be the unit step response of a casual system having a transfer function                                                

That is ,. The forced response of the system is

Consider a casual second-order system with the transfer function

With a unit stepas an input. Let C(s) be the corresponding output. The time taken by the system output c(t) to reach 94% of its steady state value, rounded off to two decimal places, is

Radiation resistance of a small dipole current element of length I at a frequency of 3GHz is 3 ohms. If length is changed by 1% then the percentage change in the radiation resistance, rounded off to two decimal places, is _____%

The figure is 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 points

 Let be a length-7 discrete time finite impulse response filter, given by

,        ,         ,

,        ,,

And is zero for. A length 3 finite impulse response approximation of has to be obtained

such that

Is minimized where andare the discrete time Fourier transform of and, respectively.

For the filter that minimize, the value of, rounded off to 2 decimal places, is ______

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 values of the coefficients in terms of so that X[1] is obtained 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  and  are arbitrary real numbers, The desired three-tap filter is given by

 and  

What are the values of the filter taps a and b if the output is  for all n, when  is as given above?

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 with corresponding right-hand side

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?

Two identical copper wires W1 and W2 placed in parallel as shown in the figure, carry current I and 2I respectively, in opposite direction. If the two wires are separated by a distance of 4r, then the magnitude of the magnetic field between the wires at a distance r from W1 is

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

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 ___________mV.

In the circuit shown,is a square wave of period T with maximum and minimum values of 8V and -10V respectively. Assume that the diode is ideal and

The average value ofis ______ Volts (rounded off to 1 decimal place)        

In the circuit shown, the breakdown voltage and the maximum current of the Zener diode are 20V and 60mA respectively. The values ofand are 200Ω and 1kΩ respectively. What is the range ofthat will maintain the Zener diode in the ‘ON’ state?        

In the circuit shown,  is a 10 V square wave of period,  with  and  The capacitor is initially uncharged at t=0, and the diode is assumed to be ideal. The voltage across the capacitor  at 3 ms is equal to __________ volts (rounded off to one decimal place).

The RC circuit shown below has a variable resistance R(t) given by the following expression:

for        

Where and C=1 F. We also given thatand the source voltage is. If the current at time t=0 is 1A, then the current I(t), in amperes, at time is ______ (rounded off to 2 decimal places)

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

In the circuit shown, ifVolts, R=1kΩ and C=1µF, then the steady state current i(t), in milliamperes (mA) is        

n the circuit shown, the clock frequency, i.e., the frequency of the CLK signal is 12 kHz. The frequency of the signal atis _______kHz

The state transition diagram for the circuit shown is

The value of the integral, is equal to ______

Consider the line integral

The integral being taken in a counter clockwise direction over the closed curve C that forms the boundary of the region R shown in the figure below. The region R is the area enclosed by the union of 23 rectangle and a semi-circle of radius 1. The line integral evaluates to

Consider a differentiable function  on the set of real numbers such that  and . Given these conditions, which one of the following inequalities is necessarily true for all

Let Z be an exponential random variable with mean 1. That is the cumulative distribution function of Z is given by

Then , rounded off to two decimal places, is equal to ________

If X and Y are random variables such that and , then

______

A single bit, equally likely to be 0 and 1, is to be send across an additive white Gaussian noise (AWGN) channel with power spectral density . Binary signaling, with 0p(t) and 1q(t), is used for the transmission along with an optimal receiver that minimizes the bit-error probability.

Let , from an orthogonal signal set

If we choose and,we would obtain a certain bit error probability.

If we keep , but take, for what value of E would we obtain the same bit-error probability?

 Let a random process Y(t) be described as  where X(t) is a white noise process with power spectral density . The filter  has a magnitude response given by  for , and zero elsewhere, Z(t)  is a stationary random process,  uncorrelated with X(t) , with power spectral density as shown in the figure. The power in Y(t), in watts, is equal to _______________ W (rounded off to two decimal places).

A random variable X takes values  and  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 . The noise N is independent of X, and is uniformly distributed over the interval. The receiver makes a decision.

Where the threshold  is chosen so as to minimize the probability of error . The minimum probability of error, rounded off to 1 decimal place, is ____________.

The baseband signal 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 isand, then the ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is _______ (rounded off to 2 decimal places)

A voice signal m(t) is in frequency range 5kHz to 15kHz. The signal is amplitude modulated to generate an AM signal, where . The AM signal f(t) is to be digitized and archived. This is done by first sampling f(t) at 1.2 times the Nyquist frequency, and then quantizing each sample using a 256-level quantizer. Finally each quantizer sample is binary coded using K bits, where K is the minimum number of bits required for the encoding. The rate in Megabits per second (rounded off to 2 decimal places) of the resulting stream of coded bits is _____ Mbps