The figure shows a half-wave rectifier. The diode D is ideal. The average steady-state current (in Amperes) through the

In the circuit shown, the PNP transistor has $$\left|{\mathrm V}_\mathrm{BE}\right|=0.7\;\mathrm V$$ and β = 50. Assume

In the circuit shown, the silicon BJT has $$\beta \,\,\,\,50.\,\,\,\,\,$$ Assume $${V_{BE}}\,\,\, = \,\,\,0.7$$ and $${V

The desirable characteristics of a transconductance amplifier are

Assuming that the Op-amp in the circuit shown is ideal, V0 is given by

Let $$X(t)$$ be a wide sense stationary $$(WSS)$$ random procfess with power spectral density $${S_x}\left( f \right)$$.

A real band-limited random process $$X( t )$$ has two -sided power spectral density $$${S_x}\left( f \right) = \left\{ {

Let $${X_1},\,{X_2},$$ and $${X_3}$$ be independent and identically distributed random variables with the uniform distri

In a PCA system, the signal $$m(t) = \{ \sin (100\,\pi \,t)\, + \cos (100\,\pi \,t\} $$ V is sampled at the Nyquist rate

A binary random variable X takes the value of 1 with probability 1/3. X is input to a casade of 2 independent identical

Consider an FM signal $$f\left(t\right)\;=\;\cos\left[2{\mathrm{πf}}_\mathrm c\mathrm t\;+\;{\mathrm\beta}_1\sin\;2{\mat

In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the follo

The steady state error of the system shown in the figure for a unit step input is _______.

Consider the following block diagram in the figure. The transfer function $$\frac{\mathrm C\left(\mathrm s\right)}{\ma

The input $$-3\mathrm e^{2\mathrm t}\;\mathrm u\left(\mathrm t\right)$$, where u(t) is the unit step function, is applie

The state equation of a second-order linear system is given by $$\mathop x\limits^ \bullet \left( t \right) = Ax\left(

If WL is the Word Line and BL the Bit Line, an SRAM cell is shown in

In the circuit shown, 𝑊𝑊 and 𝑌𝑌 are MSBs of the control inputs. The output 𝐹𝐹 is given by

If X and Y are inputs and the Difference (D = X – Y) and the Borrow (B) are the outputs, which one of the following diag

The circuit shown in the figure is a

Consider the multiplexer based logic circuit shown in the figure. Which one of the following Boolean functions is rea

In the following figure, the transmitter Tx sends a wideband modulated RF signal via a coaxial cable to the receiver Rx.

A region shown below contains a perfect conducting half-space and air. The surface current $${\overrightarrow K _{_s}}$$

Assume that a plane wave in air with an electric field $$\overrightarrow E = 10\cos \left( {\omega t - 3x - \sqrt {3z}

Consider an air filled rectangular waveguide with a cross-section of $$5\,\,cm\,\, \times \,\,3\,cm$$. For this waveguid

Given the vector $$$\mathrm A=\left(\cos\;\mathrm x\right)\left(\sin\;\mathrm y\right)\;{\widehat{\mathrm a}}_\mathrm x\

A thin P-type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate

At T = 300 K, the hole mobility of a semiconductor $$\mu_p\;=500\;cm^2/V-s$$ and $$\frac{kT}q\;=\;26\;mV$$.The hole diff

In MOSFET fabrication, the channel length is defined during the process of

An ideal MOS capacitor has boron doping concentration of 1015 cm-3 in the substrate. When a gate voltage is applied, a d

The slope of the ID vs. VGS curve of an n-channel MOSFET in linear region is 10-3$${\Omega ^{ - 1}}$$ at VDS = 0.1V. Fo

For the MOSFET M1 shown in the figure, assume W/L =2, VDD = 2.0 V, $$\mu n$$ COX = 100$$\mu {\rm A}/{V^2}$$ and VTH =0.5

Which one of the following statements is NOT true for a square matrix $$A$$?

The maximum value of the function $$\,f\left( x \right) = \ln \left( {1 + x} \right) - x$$ (where $$x > - 1$$ ) occu

The maximum value of $$f\left( x \right) = 2{x^3} - 9{x^2} + 12x - 3$$ in the interval $$\,0 \le x \le 3$$ is _________

If $$z=xy$$ $$ln(xy),$$ then

An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss i

A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is

Let $${X_1},{X_{2,}}$$ and $${X_{3,}}$$ be independent and identically distributed random variables with the uniform di

Which ONE of the following is a linear non - homogeneous differential equation , where $$x$$ and $$y$$ are the independe

Match the application to appropriate numerical method Applications $$P1:$$ Numerical integration $$P2:$$ Solution to a

Consider the building block called 'Network N' shown in the figure. Let $$C = 100\,\mu F\,\,$$ and $$R = 10\,k\Omega $$

For the Y-network shown in the figure, the value of R1 (in Ω) in the equivalent ∆ -network is ________.

In the circuit shown in the figure, the value of node voltage V2 is

In the circuit shown in the figure, the angular frequency $$\omega$$ (in rad/s), at which the Norton equivalent impedanc

A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage VS, the r

In the figure shown, the value of the current I (in Amperes) is __________.

The input $$ - 3{e^{2t}}\,\,u\left( t \right)$$, where u(t) is the unit step function$$\, {{s - 2} \over {s + 3}}$$. If

Let h(t) denote the impulse response of a casual system with transfer function $${1 \over {s + 1}}$$. Consider the follo

For an all-pass system H(z)= $${{({z^{ - 1}} - b)} \over {(1 - a{z^{ - 1}})}}$$ where $$\left| {H({e^{ - j\omega }})}

The z-transform of the sequence x$$\left[ n \right]$$ is given by x(z)= $${1 \over {{{(1 - 2{z^{ - 1}})}^2}}}$$ , with t

Let $${H_1}(z) = {(1 - p{z^{ - 1}})^{ - 1}},{H_2}(z) = {(1 - q{z^{^{ - 1}}})^{ - 1}}$$ , H(z) =$${H_1}(z)$$ +r $${H_2}$$

A modulated signal is $$y\left( t \right)\, = \,\,\,\,\,\,\,\,\,m\left( t \right)\,\cos \left( {40000\pi t} \right),$$

Let $$\,x\,\,\left( t \right)\,\,\, = \,\,\,\cos \,\,\,\left( {10\pi t} \right)\,\, + \,\,\cos \,\,\left( {30\pi t} \rig

The phase response of a passband waveform at receiver is given by $$\varphi \,(f) = - 2\,\pi \,\alpha \,(f - {f_c}) - \