List of top Network Theory Questions asked in GATE Electrical Engineering

The circuit shown in the figure is initially in steady state with the switch \(K\) in open condition and \(\overline{K}\) in closed condition. The switch \(K\) is closed and \(\overline{K}\) is opened simultaneously at the instant \(t = t_1\), where \(t_1 > 0\). The minimum value of \(t_1\) in milliseconds, such that there is no transient in the voltage across the 100 μF capacitor, is .............. (Round off to 2 decimal places). \begin{center} \includegraphics[width=0.5\textwidth]{25.jpeg} \end{center}

For the circuit shown, if \(i = \sin(1000t)\), the instantaneous value of the Thevenin's equivalent voltage (in Volts) across the terminals \(a\!-\!b\) at time \(t=5 \, \text{ms}\) is ..................... (Round off to 2 decimal places). \begin{center} \includegraphics[width=0.55\textwidth]{22.jpeg} \end{center}

The admittance parameters of the passive resistive two-port network shown in the figure are: \[ y_{11} = 5 \, S, y_{22} = 1 \, S, y_{12} = y_{21} = -2.5 \, S \] The power delivered to the load resistor \(R_L\) in Watt is .................... (Round off to 2 decimal places). \begin{center} \includegraphics[width=0.55\textwidth]{23.jpeg} \end{center}

For the circuit shown in the figure, $V_{1 = 8$ V, DC and $I_{1} = 8$ A, DC. The voltage $V_{ab}$ in Volts is \underline{\hspace{1cm}} (Round off to 1 decimal place).} \begin{center} \includegraphics[width=0.5\textwidth]{14.jpeg} \end{center}

The value of parameters of the circuit shown in the figure are $R_{1 = 2\Omega, R_{2} = 2\Omega, R_{3} = 3\Omega, L = 10 \,\text{mH}, C = 100 \,\mu\text{F}$. For time $t < 0$, the circuit is at steady state with the switch $K$ in closed condition. If the switch is opened at $t = 0$, the value of the voltage across the inductor ($V_{L}$) at $t = 0^{+}$ in Volts is \underline{\hspace{3cm}} (Round off to 1 decimal place).} \begin{center} \includegraphics[width=0.5\textwidth]{12.jpeg} \end{center}