1
GATE ECE 2006
+2
-0.6
A 2mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform variable. The value of initial current is:
A
0.5 A
B
2.0 A
C
1.0 A
D
0.0 A
2
GATE ECE 2006
+2
-0.6
In the figure shown below, assume that all the capacitors are initially uncharged. If νi(t) = 10 u(t) Volts, ν0(t) is given by
A
8 e−0.004t Volts
B
8 (1 - e−0.004t) Volts
C
8 u(t) Volts
D
8 Volts
3
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
4
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
$$\frac{s\;+\;1}{s^2\;+\;s\;+\;1}$$
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