GATE EC Circuit Analysis questions

A source of angular frequency $1 \; \mathrm{rad} / \mathrm{sec}$ has a source impedance consisting of $1 \Omega$ resistance in series with $1 \; \mathrm{H}$ inductance. The load that will obtain the maximum power transfer is

A series $\text{RLC}$ circuit has a resonance frequency of $1 \; \mathrm{kHz}$ and a quality factor $\text{Q}=100$. If each of $\text{R, L}$ and $\text{C}$ is doubled from its original value, the new $\text{Q}$ of the circuit is

The differential equation for the current $i(t)$ in the circuit of the figure is

Twelve $1 \; \Omega$ resistance are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is

The circuit for $\text{Q. 33-34}$ are given in the figure. For both are the questions, assume that the switch $S$ is in position $1$ for a long time and thrown to position $2$ at $t=0$. At $t=0+$, the current $i_{1}$ is

The circuit for $\text{Q. 33-34}$ are given in the figure. For both are the questions, assume that the switch $S$ is in position $1$ for a long time and thrown to position $2$ at $t=0$. $I_{1}(s)$ and $I_{2}(s)$ are the Laplace transforms of $i_{1}(t)$ and $i_{2}(t)$ respectively. The equations for the loop currents $I_{1}(s)$ and …

An input voltage $v(t)=10 \sqrt{2} \cos \left(t+10^{\circ}\right)+10 \sqrt{3}$ $\cos \left(2 t+10^{\circ}\right) \mathrm{V}$ is applied to a series combination of resistance $R=1 \Omega$ and an inductance $L=1H$. The resulting steady-state current $i(t)$ in ampere is

The driving-point impedance $Z(s)$ of a network has the pole-zero locations as shown in the figure. If $Z(0)=3$, then $Z(s)$ is

The impedance parameters $Z_{11}$ and $Z_{12}$ of the two-port network in the figure are

An ideal sawtooth voltage waveform of frequency $500 \mathrm{~Hz}$ and amplitude $3 \mathrm{~V}$ is generated by charging a capacitor of $2 \; \mu \mathrm{F}$ in every cycle. The charging requires

In given figure $1.2,$ the switch was closed for a long time before opening at $t=0$. The voltage $V x$ at $t=0^{+}$ is

The dependent current source shown in given figure.

The Laplace transform of a continuous-time signal $x(t)$ is $X(s)=\frac{5-s}{s^{2}-s-2}$. If the Fourier transform of this signal exists, then $x(t)$ is

If the $3$-phase balanced source in the figure is delivers $1500 \mathrm{~W}$ at a leading power factor of $0.844$, then the value of $Z_{L}$ (in ohm) is approximately

In the network of the figure is the maximum power is delivered to $R_{\mathrm{L}}$ if its value is

The admittance parameter $\mathrm{Y}_{12}$ in the $2$-port network in the figure,

If each branch of a Delta circuit has impedance $\sqrt{3} Z$, then each branch of the equivalent Wye circuit has impedance.

This question consists of TWENTY FIVE sub-questions $(1.1 - 1.25)$ of ONE mark each. For each of these sub-questions, four possible answers ( $\text{A, B, C}$ and $\text{D}$ ) are given, out of which only one is correct. Answer each sub-question by darkening the appropriate bubble on the OBJECTIVE RESPONSE SHEET (ORS) using a soft HB pencil. Do not use …

The $Z$ parameters $Z_{11}$ and $Z_{21}$ for the $2$-port network in the figure,

In the figure, the value of the load resistor $R$ which maximizes the power delivered to it is