The cascode amplifier is a multistage configuration of

Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$

Z_i and Z_o of the circuit are respectively

Given the ideal operational amplifier circuit shown in figure, indicate the correct transfer characteristics assuming ideal diodes with zero cut-in voltage.

The Op-Amp circuit shown in figure is a filter. The type of filter and its cut-off frequency are respectively.

The voltage e₀ indicated in the figure has been measured by an ideal voltmeter. Which of the following can be calculated?

In an ideal differential amplifier shown in the figure, a large value of (R_E).

The effect of current shunt feedback in an amplifier is to

The input resistance R_i of the amplifier shown in the figure is

Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$

Transconductance in milli-Siemens (mS) and voltage gain of the amplifier are respectively.

Given
$${r_d} = 20K\Omega ,\,\,{I_{DSS}}\, = \,10mA,\,\,{V_P} = - 8V$$

I_D and V_DS under DC conditions are respectively

For an n-channel MOSFET and its transfer curve shown in the figure, the threshold voltage is

For an npn transistor connected as shown in the figure, V_BE = 0.7 volts. Given that reverse saturation current of the junction at room temperature $${300^0}$$ K is $${10^{ - 13}}\,{\rm A}$$, the emitter current is $$\left( {\eta \, = \,1} \right)$$

The circuit using a BJT with β = 50 and V_BE = 0.7 V is shown in the figure. The base current I_B and collector voltage V_C are respectively

A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels.

The quantization noise power for the quantization region between –a and +a in the figure is

A symmetric three-level midtread quantizer is to be designed assuming equiprobable occurrence of all quantization levels.

If the input probability density function is divided into three regions as shown in figure, the value of 'a' in the figure is

A signal as shown in figure is applied to a matched filter. Which of the following does represent the output of this matched filter?

Noise with uniform power spectral density of N₀ W/Hz is passed through a filter H(ω ) = 2exp (-jωt_d) followed by an ideal low pass filter of bandwidth B Hz. The output noise power in Watts is

An output of a communication channel is a random variable 'V' with the probability density function as shown in the figure. The mean square value of 'V' is

A carrier is phase modulated (PM) with frequency deviation of 10 kHz by a single tone frequency of 1 kHz. If the single tone frequency is increased to 2 kHz, assuming that phase deviation remains unchanged, the bandwidth of the PM signal is

A device with input x(t) and output y(t) is characterized by: y(t) = x²(t). An FM signal with frequency deviation of 90 kHz and modulating signal bandwidth of 5 kHz is applied to this device. The bandwidth of the output signal is

Which of the following analog modulation scheme requires the minimum transmitted power and minimum channel bandwidth?

A unity feedback system is given as,$$$G\left(s\right)=\frac{K\left(1-s\right)}{s\left(s+3\right)}$$$ indicate the correct root locus diagram.

In the derivation of expression for peak percent overshoot,$$$M_p=exp\left(\frac{-\mathrm{πξ}}{\sqrt{1-\xi^2}}\right)\times100\%$$$ .Which one of the following conditions is NOT required?

A ramp input applied to an unity feedback system results in 5% steady state error. The type number and zero frequency gain of the system are respectively.

Despite the presence of negative feedback, control systems still have problems of instability because the

A linear system is equivalently represented by two sets of state equations. $$\mathop x\limits^ \bullet = \,\,{\rm A}X\,\, + BU$$ and $$\mathop W\limits^ \bullet = \,\,CW\,\, + DU.$$ The eigen values of the representations are also computed as $$\left[ \lambda \right]\,\,\,\,and\,\,\,\,\left[ \mu \right].$$ Which one of the following statements is true?

A double integrator plant, $$G(s) = {K \over {{s^2}}},H(s) = 1$$ is to be compensated to achieve the damping ratio $$\zeta = 0.5$$ and an undamped natural frequency, $${\omega _n} = 5$$ rad/sec. Which one of the following compensator $${G_c}(s)$$ will be suitable?

The open loop transfer function of a unity feedback system is given by g(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \right)}}.$$ Based on the above results, the gain and phase margins of the system will be

The polar diagram of a conditionally stable system for open loop gain K=1 is shown in figure. The open loop transfer function of the system is known to be stable. The closed loop system is stable for

The open loop transfer function of a unity feedback system is given by G(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \right)}}.$$ The gain and phase crossover frequencies in rad/sec are, respectively

Which one of the following polar diagrams corresponds to a lag network?

Both transistors T1 and T2 in figure have a threshold voltage of 1 Volt. The device parameters $${K_1}$$ and $${K_2}$$ of $${T_1}$$ and $${T_2}$$ are, respectively, 36 µA/ $${V^2}$$ and and 9$$9\,A/{V^2}$$. The output voltage $${V_0}$$ IS

The transistors used in a portion of the TTL gate shown in figure have β=100. the base-emitter voltage of is 0.7V for a transistor in active region and 0.75V for a transistor in saturation . If the sink current I=1mA and the output is at logic 0, then the current $${I_R}$$ I will be equal to

The present output Q_n of an edge triggered JK flip-flop is logic 0. If J=1, then Q_n+1

Decimal 43 in Hexadecimal and BCD number system is respectively

The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of counter is Q₂ Q₁ Q₀ = 011, then its next state ( Q₂ Q₁ Q₀ ) will be

The Boolean function f implemented in the figure using two input multiplexers is

The Boolean expression for the truth table shown is

A	B	C	D
0	0	0	0
0	0	1	0
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	0
1	1	0	1
1	1	1	0

Many circles are drawn in a Smith chart used for transmission line calculations. The circles shown in Fig. represent

Two identical and parallel dipole antennas are kept apart by a distance $$\lambda /4$$ of in the H-plane. They are fed with equal currents but the right most antenna has a phase shift of +90°. The radiation pattern is given as

Which one of the following does represent the electric field lines for the $$T{E_{02}}$$ mode in the cross-section of a hollow rectangular metallic waveguide?

Refractive index of glass is 1.5. Find the wavelength of a beam of light with a frequency of $${10^{14}}$$ Hz in glass. Assume velocity of light is $$3\,\, \times \,{10^8}$$ m/s in vacuum.

Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resistive load is shown in Fig. The reflection coefficient is given by

Characteristic impedance of a transmission line is 50$$\Omega $$. Input impedance of the open-circuited line is $${Z_{oc}} = 100\, + \,j\,\,150\Omega .$$ When the transmission line is short-circuited the value of the input impedance will be

Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50 $$\Omega $$ and a resistive load is shown in Fig. The value of the load resistance is

The magnetic field intensity vector of a plane wave is given by
$$\overline H \left( {x,y,z,t} \right) = 10\,\sin \left( {50000t + 0.004x + 30} \right){\mathop a\limits^ \cap _y}$$
Where $${\mathop a\limits^ \cap _y}$$ denotes the unit vector in $$y$$ direction. The wave is propagating with a phase velocity

A silicon sample 'A' is doped with 10¹⁸ atoms/cm³ of Boron. Another sample 'B' of identical dimensions is doped with 10¹⁸ atoms/cm³ of Phosphorus. The ratio of electron to hole mobility is 1/3. The ratio of conductivity of the sample A to B is

A Silicon PN junction diode under reverse bias has depletion region of width 10 µm. The relative permittivity of Silicon, ɛ_r = 11.7 and the permittivity of free space ɛ₀ = 8.854 × 10^-12 F/m.The depletion capacitance of the diode per square meter is

The Zener diode in the regulator circuit shown in figure has a Zener voltage of 5.8 Volts and a Zener knee current of 0.5 mA. The maximum load current drawn from this circuit ensuring proper functioning over the input voltage range between 20 and 30 Volts, is

A MOS capacitor made using p-type substrate is in the accumulation mode. The dominant charge in the channel is due to the presence of

The band gap of Silicon at room temperature is:

A Silicon PN junction at a temperature of 20°C has a reverse saturation current of 10 pico-Amperes (pA). The reverse saturation current at 40°C for the same bias is approximately

The primary reason for the widespread use of Silicon in semiconductor device technology is

The Dirac delta Function $$\delta \left( t \right)$$ is defined as

In what range should $$Re(s)$$ remain so that the laplace transform of the function $${e^{\left( {a + 2} \right)t + 5}}$$ exists?

Match the following and choose the correct combination

Group $$-$$ $${\rm I}$$
$$E.$$ Newton $$-$$ Raphson method
$$F.$$ Runge-Kutta method
$$G.$$ Simpson's Rule
$$H.$$ Gauss elimination

Group $$-$$ $${\rm II}$$
$$(1)$$ Solving non-linear equations
$$(2)$$ Solving linear simultaneous equations
$$(3)$$ Solving ordinary differential equations
$$(4)$$ Numerical integration method
$$(5)$$ Interpolation
$$(6)$$ Calculation of eigen values

A solution of the differential equation $${{{d^2}y} \over {d{x^2}}} - 5{{dy} \over {dx}} + 6y = 0\,$$ is given by

The following differential equation has $$3{{{d^2}y} \over {d{t^2}}} + 4{\left( {{{dy} \over {dt}}} \right)^3} + {y^2} + 2 = x$$

A fair dice is rolled twice. The probability that an odd number will follow an even number is

$$\nabla \times \left( {\nabla \times P} \right)\,\,$$ where $$P$$ is a vector is equal to

The value of the integral $$1 = {1 \over {\sqrt {2\pi } }}\,\,\int\limits_0^\infty {{e^{ - {\raise0.5ex\hbox{$\scriptstyle {{x^2}}$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 8$}}}}} \,\,dx\,\,\,$$ is ________.

If $$A = \left[ {\matrix{ 2 & { - 0.1} \cr 0 & 3 \cr } } \right]$$ and $${A^{ - 1}} = \left[ {\matrix{ {{\raise0.5ex\hbox{$\scriptstyle 1$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 2$}}} & a \cr 0 & b \cr } } \right]$$ then $$a+b=$$

Given the matrix $$\left[ {\matrix{ { - 4} & 2 \cr 4 & 3 \cr } } \right],$$ the eigen vector is

Given an orthogonal matrix $$A = \left[ {\matrix{ 1 & 1 & 1 & 1 \cr 1 & 1 & { - 1} & { - 1} \cr 1 & { - 1} & 0 & 0 \cr 0 & 0 & 1 & { - 1} \cr } } \right]$$ then the value of $${\left( {A{A^T}} \right)^{ - 1}}$$ is

Consider an 8085 microprocessor system

If in addition following code exists from 0109H onwards ORI 40H, ADD M What will be the result in the accumulator after the last instruction is executed

Consider an 8085 microprocessor system

The following program starts at locaton 0100H.
LXI SP, 00FF
LXI H, 0107
MVI A, 20H
SUB M

The contents of accumulator wnen the program counter reaches 0109H is

What memory address range is NOT represented by chip 1 and chip 2 in figure? A₀ to A₁₅ in this figure are the address lines and CS means Chip Select.

The h parameters of the circuit shown in Fig. are

The ABCD parameters of an ideal n:1 transformer shown in Fig. are $$\left[ {\matrix{ n & 0 \cr 0 & X \cr } } \right]$$. The value of X will be

For the circuit in figure, the phase current $${{\rm I}_1}$$ is

In a series $$RLC$$ circuit $$R = 2\,k\Omega ,\,\,\,L = \,1H$$ and $$C = \,1/400\,\mu F.$$ The resonant frequency is

If R₁ = R₂ = R₄ = R and R₃ = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connected between a and b is

A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The capacitor is initially uncharged. The output voltage v₀ at time t=2 sec is

The condition on R, L and C such that the step response y(t) in figure has no oscillations, is

For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent resistance at terminals a – b is

The maximum power that can be transferred to the load resistor R_L from the voltage source in figure is

Impedance Z as shown in the figure is:

The output y(t) of a linear time invariant system is related to its input x(t) by the following equation: y(t) = 0.5 x $$(t - {t_d} + T) + \,x\,(t - {t_d}) + 0.5\,x(t - {t_d} - T)$$. The filter transfer function $$H(\omega )$$ of such a system is given by

Match the following and choose the correct combination.

GROUP 1
E- continuous and aperiodic signal
F- continuous and periodic signal
G- discrete and aperiodic signal
H- discrete and periodic signal

Group 2
1- Fourier representation is continuous and aperiodic
2- Fourier representation is discrete and aperiodic
3- Fourier representation is continuous and periodic
4- Fourier representation is discrete and periodic

The value of the integral $$\,I = {1 \over {\sqrt {2\,\,\pi } }}\int\limits_0^\infty {\exp \left( { - {{{x^2}} \over 8}} \right)dx} $$ is

The derivative of the symmetric function drawn in Fig .1 will look like

The function x(t) is shown in Fig. Even and odd parts of a unit-step function u(t) are respectively.

A signal x(n)$$ = \sin ({\omega _0}\,n + \phi )$$ is the input to a linear time-invariant system having a frequency response $$H({e^{j\omega }})$$.If the output of the system is $$Ax(n - {n_0})$$, then the most general form of $$\angle H({e^{j\omega }})$$ will be

For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by

Which of the following can be impulse response of a causal system?

The region of convergence of z-transform of the sequence $${\left( {{5 \over 6}} \right)^n}u(n) - {\left( {{6 \over 5}} \right)^n}u( - n - 1)$$ must be

A sequence x(n) has non-zero values as shown in figure. 1
The Fourier transform of y(2n) will be

A sequence x(n) has non-zero values as shown in Fig.
The sequence $$$y(n)=\left\{\begin{array}{l}x\left(\frac n2-1\right)\;\;\;for\;n\;even\\0\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;for\;n\;odd\end{array}\right.$$$
will be

Let x(n) = $${\left( {{1 \over 2}} \right)^n}$$ u(n), y(n) = $${x^2}$$, and Y ($$({e^{j\omega }})\,$$ be the Fourier transform of y(n). Then Y ($$({e^{jo}})$$ is

In what range should Re(s) remain so that the Laplace transform of the function e^(a+2)t+5 exists?

Choose the function f (t );−$$\infty$$ < 1 < +$$\infty$$, for which a Fourier series cannot be defined.