List of top Questions asked in GATE EC- 2023

In the circuit shown below, $D_1$ and $D_2$ are silicon diodes with cut-in voltage of 0.7 V. $V_{IN}$ and $V_{OUT}$ are input and output voltages in volts. The transfer characteristic is _____________

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$_2$(s)D(s).
G$_1$(s) and G$_2$(s) are given by

The Fourier transform $X(\omega)$ of $x(t)=e^{-t^{2}}$ is \[ X(\omega)=\sqrt{\pi}\,e^{-\tfrac{\omega^{2}}{4}}. \]

For the two port network shown below, the [Y]-parameters is given as \[ [Y] = \frac{1}{100} \begin{bmatrix} 2 & -1 \\ -1 & \frac{4}{3} \end{bmatrix} \text{ S}. \] The value of load impedance $ Z_L $, in $ \Omega $, for maximum power transfer will be ___________ (rounded off to the nearest integer).

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

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

Let $x_1(t) = u(t+1.5) - u(t-1.5)$ and $x_2(t)$ is shown in the figure below. For $y(t) = x_1(t) x_2(t)$, the $\int_{-\infty}^{\infty} y(t)dt$ is ___________ (rounded off to the nearest integer).

For the circuit shown below, the propagation delay of each NAND gate is 1 ns. The critical path delay, in ns, is ___________ (rounded off to the nearest integer).

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

Let $x(t) = 10\cos(10.5Wt)$ be passed through an LTI system having impulse response \[ h(t) = \pi\left(\dfrac{\sin(Wt)}{\pi t}\right)^2 \cos(10Wt). \] The output of the system is _____________

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

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 closed, simultaneously. The value of $i_c(0^+)$, in amperes, is _____________

The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain $\dfrac{V_{out}}{V_s}$ is _____________

In the circuit shown below, switch S was closed for a long time. If the switch is opened at t = 0, the maximum magnitude of the voltage $V_R$, in volts, is ___________ (rounded off to the nearest integer).

The S-parameters of a two port network is given as \[ [S] = \begin{bmatrix} S_{11} & S_{12} \\[2pt] S_{21} & S_{22} \end{bmatrix} \] with reference to $Z_0$. Two lossless transmission line sections of electrical lengths $\theta_1 = \beta l_1$ and $\theta_2 = \beta l_2$ are added to the input and output ports for measurement purposes, respectively. The S-parameters $[S']$ of the resultant two port network is

Let $x_1(t)$ and $x_2(t)$ be two band-limited signals having bandwidth $B = 4\pi \times 10^{3}$ rad/s each. In the figure below, the Nyquist sampling frequency, in rad/s, required to sample $y(t)$, is _____________

Which one of the following options can be inferred from the given passage alone? When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be whisked to another planet.
[Excerpt from The Truth about Stories by T. King]

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

Consider a narrow band signal, propagating in a lossless dielectric medium $(\varepsilon_r = 4, \mu_r = 1)$, with phase velocity $v_p$ and group velocity $v_g$. Which of the following statement is true? ($c$ is the velocity of light in vacuum.)

The $\dfrac{V_{OUT}}{V_{IN}}$ of the circuit shown below is _____________