Electronics and Communication Gate 2014 Set-1 Questions with Answer

Ques 53 GATE 2014 SET-1

Consider the configuration shown in the figure which is a portion of a larger electrical network. For R = 1 Ω and currents i₁ = 2 A, i₄ = -1 A, i₅ = -4 A, which one of the following is TRUE?

Ques 54 GATE 2014 SET-1

A two-port network has scattering parameters given by S = [s₁₁ s₁₂; s₂₁ s₂₂]. If the port-2 of the two-port is short circuited, the s₁₁ parameter for the resultant one-port network is

Ques 55 GATE 2014 SET-1

A Y-network has resistances of 10Ω each in two of its arms, while the third arm has a resistance of 11Ω. In the equivalent ∆-network, the lowest value (in Ω) among the three resistances is ________.

Ques 56 GATE 2014 SET-1

A 230 V rms source supplies power to two loads connected in parallel. The first load draws 10 kW at 0.8 leading power factor and the second one draws 10 kVA at 0.8 lagging power factor. The complex power delivered by the source is

Ques 57 GATE 2014 SET-1

A periodic variable x is shown in the figure as a function of time. The root-mean-square (rms) value of x is _________.

Ques 58 GATE 2014 SET-1

In the circuit shown in the figure, the value of capacitor C (in mF) needed to have critically damped response i(t) is______.

Ques 59 GATE 2014 SET-1

A discrete-time signal x[n] = sin(π/2 n), n being an integer, is

Ques 60 GATE 2014 SET-1

Consider two real valued signals, x(t) band-limited to [-500 Hz, 500 Hz] and y(t) band-limited to [-1 kHz, 1 kHz]. For z(t) = x(t) · y(t), the Nyquist sampling frequency (in kHz) is ______.

Ques 61 GATE 2014 SET-1

A continuous, linear time-invariant filter has an impulse response h(t) described by
h(t) = 3 for 0 ≤ t ≤ 3
h(t) = 0 otherwise
When a constant input of value 5 is applied to this filter, the steady state output is _____.

Ques 62 GATE 2014 SET-1

For a function g(t), it is given that ∫_-∞^+∞ g(t)e^-jωt dt = ωe^-2ω2 for any real value ω. If y(t) = ∫_-∞^t g(τ) dτ, then ∫_-∞^+∞ y(t)dt is

Ques 63 GATE 2014 SET-1

Let x[n] = (-(1/9))ⁿu(n) - (-(1/3))ⁿu(-n - 1). The Region of Convergence (ROC) of the z-transform of x[n]

Ques 64 GATE 2014 SET-1

Consider a discrete time periodic signal x[n] = sin(πn/5). Let a_k be the complex Fourier series coefficients of x[n]. The coefficients {a_k} are non-zero when k = Bm ± 1, where m is any integer. The value of B is______.

Ques 65 GATE 2014 SET-1

A system is described by the following differential equation, where u(t) is the input to the system and y(t) is the output of the system.
ẏ(t) + 5y(t) = u(t)
When y(0) = 1 and u(t) is a unit step function, y(t) is