(a) Determine $${V_C}\left( {{0^ + }} \right)$$ and $${I_{_L}}\left( {{0^ + }} \right)$$
(b) Determine $${{d{V_C}\left( t \right)} \over {dt}}\,\,$$ at $$t\, = \,{0^ + }$$
(c) Determine $${{V_C}\left( t \right)}$$ for $$t > 0$$
![GATE ECE 2002 Network Theory - Transient Response Question 6 English](https://gateclass.cdn.examgoal.net/6JIqvZavKasku3C0d/f51GiHZvEW1uZwLDjosYbugL5fwqn/bqm1ap5DepGbJpacs7w4pA/uploadfile.jpg)
![GATE ECE 2001 Network Theory - Transient Response Question 7 English](https://gateclass.cdn.examgoal.net/QtEzWwUmrZRvLjhw4/UNBxeLwplQRZnA4qmI2ZTnYrw94zX/wnbi1ZgVPLx0S4YPLR6NvP/uploadfile.jpg)
(a) Find $${i_L}\left( {{0^ + }} \right)$$.
(b) Find $${e_1}\left( {{0^ + }} \right)$$.
(c) Using nodal equations and Laplace transform approach, find an expression
for the voltage across the capacitor for all $$t\, = \,0$$.
![GATE ECE 2000 Network Theory - Transient Response Question 8 English](https://gateclass.cdn.examgoal.net/syHwrFlq0KExVZkDC/4rOr9sdLPy9Ex9a5oB2kAUsK6WPff/0AbsLi98VJZ7US48Z4OynO/uploadfile.jpg)
(a) Find the voltage transfer function of the network.
(b) Find L, and draw the configuration of the network.
(c) Find the impulse response of the network.
![GATE ECE 1999 Network Theory - Transient Response Question 9 English](https://gateclass.cdn.examgoal.net/NqwFK995rTicAhHgb/VXmG3S4lsJr7d96UCWhpjjVndTEPe/yoz7Ly2ZKCWELyzqi7ixom/uploadfile.jpg)
(a) Find $${V_0}$$ for $$t \le 0$$ and as $$t \to \infty $$.
(b) Write an expression for $${V_0}$$ as a function of time for $$0 \le t \le \infty $$.
(c) Evaluate $${V_0}$$ at $$t = 25\,\,\mu $$sec.