List of top Analog Circuits Questions asked in GATE Electronics and Communication Engineering

Consider the matrix: \[ \begin{bmatrix} 1 & k
2 & 1 \end{bmatrix}, \] where \(k\) is a positive real number. Which of the following vectors is/are eigenvector(s) of this matrix?

Let \(\mathbb{R}\) and \(\mathbb{R}^3\) denote the set of real numbers and the three-dimensional vector space over it, respectively. The value of \(\alpha\) for which the set of vectors: \[ \{[2 \,\, -3 \,\, \alpha], \, [3 \,\, -1 \,\, 3], \, [1 \,\, -5 \,\, 7]\} \] does not form a basis of \(\mathbb{R}^3\) is \(\_\_\_\_\).

In the circuit shown, the \(n:1\) step-down transformer and the diodes are ideal. The diodes have no voltage drop in forward-biased condition. If the input voltage (in Volts) is \(V_s(t) = 10\sin\omega t\) and the average value of load voltage \(V_L(t)\) (in Volts) is \(2.5/\pi\), the value of \(n\) is \(\_\_\_\_\). \begin{center} \includegraphics[width=5cm]{23.png} \end{center}

For the closed-loop amplifier circuit shown below, the magnitude of open-loop low-frequency small signal voltage gain is 40. All the transistors are biased in saturation. The current source \(I_{SS}\) is ideal. Neglect body effect, channel length modulation, and intrinsic device capacitances. The closed-loop low-frequency small signal voltage gain \(\frac{v_{out}}{v_{in}}\) (rounded off to three decimal places) is: \begin{center} \includegraphics[width=6cm]{18.png} \end{center}

Consider a lossless transmission line terminated with a short circuit as shown in the figure below. As one moves towards the generator from the load, the normalized impedances \(z_{inA}\), \(z_{inB}\), \(z_{inC}\), and \(z_{inD}\) (indicated in the figure) are: \begin{center} \includegraphics[width=8cm]{15.png} \end{center}