1
GATE ECE 1999
Subjective
+5
-0
In the circuit of figure, the switch $$'S'$$ has remained open for a long time. The switch closes instantaneously at $$t = 0$$. n

(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.

2
GATE ECE 1994
Subjective
+5
-0
The circuit shown in the figure, is initially in its steady state. Switch is opened at t = 0.
(1) Determine the initial voltage, VC(0-), across the capacitor, and the initial current, iL(0-) , through the indicator.
(2) Calculate the voltage, VL(t) , across the inductance for t > 0.
3
GATE ECE 1993
Subjective
+5
-0
In the following circuit the capacitance varies as C = KQ, where K is a constant equal to 0.5 Farads/Coulomb and Q, the charge on the capacitor in Coulombs. Determine the current through the circuit and sketch the voltage waveform across the capacitor (VC) for a step input Vi as shown in figure.
4
GATE ECE 1991
Subjective
+5
-0
The network shown in figure is initially under steady-state condition with the switch in position 1. The switch is moved from position 1 to position 2 at t = 0. Calculate the current i(t) through R1 after switching.
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