In the circuit shown below, $$V_1$$ and $$V_2$$ are bias voltages. Based on input and output impedances, the circuit beh

A cascade of common-source amplifiers in a unity gain feedback configuration oscillates when

The $$\mathrm{{{{V_{OUT}}} \over {{V_{IN}}}}}$$ of the circuit shown below is

In the circuit shown below, D$$_1$$ and D$$_2$$ are silicon diodes with cut-in voltage of 0.7 V. $$\mathrm{V_{IN}}$$ and

A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of 1 $$\mu$$s. Th

For a real signal, which of the following is/are valid power spectral density/densities?

A random variable X, distributed normally as N(0, 1), undergoes the transformation Y = h(X), given in the figure. The fo

Let a frequency modulated (FM) signal $$x(t) = A\cos ({\omega _c}t + {k_f}\int_{ - \infty }^t {m(\lambda )d\lambda )} $$

Let x$$_1$$(t) and x$$_2$$(t) be two band-limited signals having bandwidth $$B=4\pi\times10^3$$ rad/s each. In the figur

Let X(t) be a white Gaussian noise with power spectral density $$\frac{1}{2}$$W/Hz. If X(t) is input to an LTI system wi

The frequency of occurrence of 8 symbols (a-h) is shown in the table below. A symbol is chosen and it is determined by a

The open loop transfer function of a unity negative feedback system is $$G(s) = {k \over {s(1 + s{T_1})(1 + s{T_2})}}$$,

A closed loop system is shown in the figure where $$k>0$$ and $$\alpha > 0$$. The steady state error due to a ramp

In the following block diagram, R(s) and D(s) are two inputs. The output Y(s) is expressed as Y(s) = G$$_1$$(s)R(s) + G$

The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure. The transfer function of the system

In the circuit shown below, P and Q are the inputs. The logical function realized by the circuit shown below is

The synchronous sequential circuit shown below works at a clock frequency of 1 GHz. The throughput, in Mbits/s, and the

The signal-to-noise ratio (SNR) of an ADC with a full-scale sinusoidal input is given to be 61.96 dB. The resolution of

For the circuit shown below, the propagation delay of each NAND gate is 1 ns. The critical path delay, in ns, is _______

In a given sequential circuit, initial states are Q$$_1$$ = 1 and Q$$_2$$ = 0. For a clock frequency of 1 MHz, the frequ

Consider a narrow band signal, propagating in a lossless dielectric medium $$(\varepsilon_r=4,\mu_r=1)$$, with phase vel

The standing wave ratio on a 50 $$\Omega$$ lossless transmission line terminated in an unknown load impedance is found t

The electric field of a plane electromagnetic wave is $$E = {a_x}{C_{1x}}\cos (\omega t - \beta z) + {a_y}{C_{1y}}\cos (

The following circuit(s) representing a lumped element equivalent of an infinitesimal sectioin of a transmission line is

A transparent dielectric coating is applied to glass ($$\varepsilon _r=4,\mu_r=1$$) to eliminate the reflection of red l

In a semiconductor, if the Fermi energy level lies in the conduction band, then the semiconductor is known as

For an intrinsic semiconductor at temperature $$T=0K$$, which of the following statement is true?

For a MOS capacitor, $$\mathrm{V_{fb}}$$ and $$\mathrm{V_{t}}$$ are the flat-band voltage and the threshold voltage, res

In an extrinsic semiconductor, the hole concentration is given to be 1.5$$n_i$$ where $$n_i$$ is the intrinsic carrier c

In a semiconductor device, the Fermi-energy level is 0.35 eV above the valence band energy. The effective density of sta

In the circuit below, the voltage V$$_{\mathrm{L}}$$ is _____________ V (rounded off to two decimal places).

Let $${v_1} = \left[ {\matrix{ 1 \cr 2 \cr 0 \cr } } \right]$$ and $${v_2} = \left[ {\matrix{ 2 \cr

The rate of increase, of a scalar field $$f(x,y,z) = xyz$$, in the direction $$v = (2,1,2)$$ at a point (0,2,1) is

The value of the contour integral, $$\oint\limits_C {\left( {{{z + 2} \over {{z^2} + 2z + 2}}} \right)dz} $$, where the

Let the sets of eigenvalues and eigenvectors of a matrix B be $$\{ {\lambda _k}|1 \le k \le n\} $$ and $$\{ {v_k}|1 \le

The value of the line integral $$\int_P^Q {({z^2}dx + 3{y^2}dy + 2xz\,dz)} $$ along the straight line joining the points

Let $$x$$ be an $$n \times 1$$ real column vector with length $$l = \sqrt {{x^T}x} $$. The trace of the matrix $$P = x{x

The state equation of a second order system is $$x(t) = Ax(t),\,\,\,\,x(0)$$ is the initial condition. Suppose $$\lambda

The value of the integral $$\int\limits\!\!\!\int_R {xy\,dx\,dy} $$ over the regioin R, given in the figure, is ________

A series $$RLC$$ circuit has a quality factor Q of 1000 at a center frequency of $$10^6$$ rad/s. The possible values of

In the circuit shown below, the current i flowing through 200 $$\Omega$$ resistor is __________ mA (rounded off to two d

For the two port network shown below, the [Y]-parameters is given as $$[Y] = {1 \over {100}}\left[ {\matrix{ 2 &

In the circuit shown below, switch S was closed for a long time. If the switch is opened at t = 0, the maximum magnitude

The switch S$$_1$$ was closed and S$$_2$$ was open for a long time. At t = 0, switch S$$_1$$ is opened and S$$_2$$ is cl

The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain $${{{V_{

The S-parameters of a two port network is given as $$[S] = \left[ {\matrix{ {{S_{11}}} & {{S_{12}}} \cr {{S_

Let $${w^4} = 16j$$. Which of the following cannot be a value of $$w$$?

Consider a system with input $$x(t)$$ and output $$y(t) = x({e^t})$$. The system is

Let $$m(t)$$ be a strictly band-limited signal with bandwidth B and energy E. Assuming $${\omega _0} = 10B$$, the energy

The Fourier transform $$x(\omega )$$ of $$x(t) = {e^{ - {t^2}}}$$ is Note : $$\int\limits_{ - \infty }^\infty {{e^{ - {

In the table shown below, match the signal type with its spectral characteristics. .tg {border-collapse:collapse;borde

Consider a discrete-time periodic signal with period N = 5. Let the discrete-time Fourier series (DTFS) representation b

Let an input $$x[n]$$ having discrete time Fourier transform $$x({e^{j\Omega }}) = 1 - {e^{ - j\Omega }} + 2{e^{ - 3j\Om

Let $$x(t) = 100\cos (10.5Wt)$$ be passed through an LTI system having impulse response $$h(t) = \pi {\left( {{{\sin Wt

Let $$\mathrm{x_1(t)=u(t+1.5)-u(t-1.5)}$$ and $$\mathrm{x_2(t)}$$ is shown in the figure below. For $$\mathrm{y(t)=x_1(t

"I cannot support this proposal. My __________ will not permit it."

Courts : __________ : : Parliament : Legislature (By word meaning)

What is the smallest number with distinct digits whose digits add up to 45?

In a class of 100 students, (i) there are 30 students who neither like romantic movies nor comedy movies, (ii) the numbe

How many rectangles are present in the given figure?

Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all

Which one of the following options represents the given graph?

Which one of the following options can be inferred from the given passage alone? When I was a kid, I was partial to stor

Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testin

A 100 cm $$\times$$ 32 cm rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with