The figure shown below is the pole zero plot for the z-transform X(z) of a sequence x[n].

The ROC (region of convergence) for x[n] to be a right signal and ROC for x[n] to be a left sided signal are respectively

The output F of the multiplexer circuit shown below expressed in terms of the inputs P, Q and R is

Determine which of the following can be associated with the output waveform of the circuit of Y. Consider X and Y to be 0 and 1 initially. X is made 1 at t = 0 and kept at that value. There is a finite propagation delay of the logic gate.

If silicon is doped with phosphorus atoms at a concentration of 10¹⁵ cm^-3 then, what will be the position of the Fermi level with respect to the intrinsic Fermi level in silicon at T = 300 K?

The Thermal voltage (V_T) is calculated as 25.9 mV at 300 K and the intrinsic carrier concentration is taken as 1.5 × 10¹⁰ cm^-3.

The figure shows the VTC (Voltage Transfer Characteristics) of an NMOS inverter with three varying resistive loads (R).

The correct statement is

The current flowing through the 3 Ω resistor R₁ is _____ A.

The Thevenin equivalent resistance between terminal a and b in the following circuit is ______ Ω.

The two elements in series circuit in the box are:

Assume that, I = 10 ∠-23.13°, V = 50 ∠30° and ω = 5000 rad/sec

The signal vector s₁ and s₂ are used to represent binary symbols 1 and 0, respectively, in a coherent binary FSK system. The receiver decides in favor of symbol 1 when

[X]^T s₁ > [X]^T s₂

Where [X]^T s_i is the inner product of the observation vector [X] and signal vector s_i, where I = 1, 2, … If x₁ and x₂ are the elements of the observation vector [X] and the signal vector s₁ and s₂ have equal energy, then the given decision rule is equivalent to the condition.

Consider an Impedance Z = R + jX with point P in an Impedance smith chart. To match the load Z we have to:

Consider the system shown below. The system is stable for the range:

$-\frac{1}{2}<K<\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}$ 

Consider a negative unity feedback system with forward path transfer function $G\left(s\right)=\frac{K}{\left(s+a\right)\left(s-b\right)\left(s+c\right)}$, where K, a, b, c are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the s-plane is the clockwise direction, the Nyquist plot of (1 + G(s)), encircles the origin (1 + G(s)) –plane once in the clockwise direction and never passes through this origin for a certain value of K. then, the number of poles of $\frac{G\left(s\right)}{1+G\left(s\right)}$ lying in the open right half of the s-plane is ______.

If System 1 and 2 are Linear Time Invariant systems and same input x(n) is provided to both Configuration:

Statement 1: y₁(n) = y₂(n)

Statement 2: f(n) = g(n)

The inverse z-transform of a function $X\left(z\right)=\frac{z^{-9}}{z-\alpha }$ is α^n-ku(n - k).

A current ‘I = 5A’ is flowing in the circuit as shown in the figure. W₁ and W₂ are two wires of different materials (σ₁ ≠ σ₂), having resistance of 2Ω and 3Ω respectively.

The magnetic flux density at the center of the circle with radius of ‘π’ m is______ micro Tesla:

For the circuit diagram shown below, calculate the voltage across capacitor V(t) at t = 160 μs?

Consider the signal X(jω) shown below whose inverse Fourier transform is x(t)

The value of $\underset{-\mathrm{\infty }}{\overset{\mathrm{\infty }}{\int }}{\left|x\left(t\right)\right|}^{2}dt$ is _______ W. (Correct up to two decimal places)

Voltage gain V_o/V_s of the given circuit is:

(Take V_t = 25 mV)

A system y(n) is defined as $y\left(n\right)=x\left(n\right)\cos \left[\frac{n\pi }{2}\right]$ where x(n) has the DTFT

$X\left(e^{j\omega }\right)=\left[\begin{array}{cc}1& \left|\omega \right|\le \frac{\pi }{3}\\ 0& elsewhere\end{array}\right]$

Consider the diode circuit shown below. The diode, D, obeys the current-voltage characteristic $I_D=I_S\left(\exp \left(\frac{V_D}{n{V}_T}\right)-1\right)$, where n > 1, V_T > 0, V_D is the voltage across the diode and I_D is the current through it. The circuit is biased so that voltage, V > 0 and current, I < 0. If you had to design this circuit to transfer maximum power from the current source (I₁) to a resistive load (not shown) at the output, what values of R₁ and R₂ would you choose?

For the given circuit below:

The correct values of a, b, c and d in the following state diagram are:

Each state in the above state diagram is represented as BA.

Consider the following system of equations in x, y, z:

x + 2y + 2z = 1

x + ay + 3z = 3

x + 11y + az = b

The value of following double integral is ________ (correct up to three decimal places).

$\int \underset{R}{\int }xydxdy$

A message signal m(t) whose spectrum is M(f) is passed through a system as shown below. The BPF has a bandwidth of 2W Hz centered at f₀ and the LPF has a bandwidth of W Hz. The bandwidth of the signal y(t) (in Hz) is ________.

For the circuit shown in the figure, at ω = 2 rad/s, z₁₁ = 10 Ω, z₁₂ = z₂₁ = j6 Ω, z₂₂ = 4 Ω.

The Thevenin equivalent impedance at terminals a⋅b is ______

In the ac network shown in the figure, the current I is

The open loop transfer function of a closed loop control system is given as

A controlled process is modeled by the following equations

$\frac{d{x}_1\left(t\right)}{dt}=x_1\left(t\right)-2x_2\left(t\right)$

And

$\frac{d{x}_2\left(t\right)}{dt}=10x_1\left(t\right)+u\left(t\right)$

The control u(t) is obtained from state feedback such that

u(t) = -K₁x₁(t) – K₂x₂(t)

For the circuit shown in the figure below, assume that D₁, D₂ and D₃ are ideal. v(t) = π sin (100πt) V

The DC components of voltages v₁ and v₂, respectively are

The vector function expressed by

$F=a_x\left(5y-k_{1}z\right)+a_y\left(3z+k_{2}x\right)+a_z\left(k_{3}y-4x\right)$

 Let X(t) be a zero-mean WSS process with autocorrelation function

R_x(τ) = e^-|τ|

X(t) is input to an LTI system with

$\left|H\left(f\right)\right|=\{\begin{array}{cc}\sqrt{1+4{\pi }^2{f}^2}& \left|f\right|<2\\ 0& otherwise\end{array}$

A digital communication system employs two filters as shown. The value of time ‘t’ at which the response of the system will reach its maximum value is:

$x\left(t\right)=\{\begin{array}{cc}A;& \left|t\right|<T/2\\ O;& \left|t\right|>T/2\end{array}$

$h_1\left(t\right)=\frac{1}{2}\left[\delta \left(t-T\right)+\delta \left(t+T\right)\right]$

All the flip-flops in the following circuit is initially RESET after which clock signal is triggered continuously. The output y goes HIGH after every N clock pulse (s) and remains HIGH for M clock period (s). The value of N and M respectively are.

Holes are being steadily injected into a region of n-type silicon. In the steady state, the excess hole concentration profile is shown. [The term excess means over and above concentrations p_no]

If  D_p = 12 cm²/sec N_D = 10¹⁶/cm³, n_i = 1.5 × 10¹⁰/cm³ and w = 5 μm.

The current density that will flow in x-direction is _____ nA/cm².

For the MOSFET circuit shown below, the MOSFET is biased at Q point (-3 V, 3 mA). Then the required value of resistance (R) in ohms is _______ (kΩ).

Find the hysteresis width in the voltage transfer characteristics of the Schmitt trigger circuit given

A transistor circuit is given below. The breakdown voltage of Zener diode is 6 V. The base to emitter voltage of 0.7 V find the value of current gain.

Given the homogeneous state space equation $\dot{x}=\left[\begin{array}{cc}0& 1\\ -1& -2\end{array}\right]x$ and the initial state value $x\left(0\right)=\left[\begin{array}{c}10\\ -10\end{array}\right]$

The steady state values of $x_{ss1}=\underset{t\to \mathrm{\infty }}{lim}{x}_1\left(t\right)$ and $x_{ss2}=\underset{t\to \mathrm{\infty }}{lim}{x}_2\left(t\right)$ are

Four isotropic antenna with equal current are connected to form an antenna array as shown: