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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}
  • GATE EE - 2023
  • GATE EE
  • Network Theory
  • Problems on Initial Conditions