1
GATE ECE 2005
+2
-0.6

A square pulse of 3 volts amplitude is applied to C-R circuit shown in figure. The capacitor is initially uncharged. The output voltage v0 at time t=2 sec is

A
3 V
B
-3 V
C
4 V
D
-4 V
2
GATE ECE 2004
+2
-0.6

The circuit shown in Fig, has initial current $${\mathrm i}_\mathrm L\left(0^-\right)\;=\;1\;\mathrm A$$ through the inductor and an initial voltage $${\mathrm v}_\mathrm C\left(0^-\right)\;=\;-1\;\mathrm V$$ across the capacitor. For input v(t) = u(t), the Laplace transform of the current i(t) for t ≥ 0 is

A
$$\frac s{s^2\;+\;s\;+\;1}$$
B
$$\frac{s\;+\;2}{s^2\;+\;s\;+\;1}$$
C
$$\frac{s\;-\;1}{s^2\;+\;s\;+\;1}$$
D
$$\frac{s\;+\;1}{s^2\;+\;s\;+\;1}$$
3
GATE ECE 2003
+2
-0.6

The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

At t = 0+, the current i1 is

A
$$\frac{-\mathrm V}{2\mathrm R}$$
B
$$\frac{-\mathrm V}{\mathrm R}$$
C
$$\frac{-\mathrm V}{4\mathrm R}$$
D
zero
4
GATE ECE 2003
+2
-0.6

The circuit is given in figure.Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

I1(s) and I2(s) are the Laplace transforms of i1(t) and i2(t) respectively. The equations for the loop currents I1(s) and I2(s) for the circuit shown in figure, after the switch is brought from position 1 to position 2 at t = 0, are

A
B
C
D
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