List of top Network Theory Questions on Thevenin's Theorem asked in GATE EE

For the circuit shown, which one of the following options correctly identifies the Thevenin's equivalent parameters between nodes Y and Z?

The circuit has nodes X, Y, Z, and W. Between X and Y there is a 20 V ideal source (in parallel with a 10 k\(\Omega\) resistor directly connecting X and Y). Between Y and Z there is a 10 k\(\Omega\) resistor. Between Y and W there is a 2 k\(\Omega\) resistor. Between X and W there is an ideal 100 V source (no series resistor in this branch). Between Z and W there is an ideal 20 V source (no series resistor in this branch) and, separately, a 1 k\(\Omega\) resistor.

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}