1
GATE ECE 2015 Set 1
Numerical
+2
-0
In the circuit shown, switch SW is closed at t = 0. Assuming zero initial conditions, the value of vc(t) (in Volts) at t= 1 sec is ___________.
2
GATE ECE 2014 Set 4
Numerical
+2
-0

In the circuit shown in the figure, the value of V0(t) (in Volts) for $$t\rightarrow\infty$$ is ______.

3
GATE ECE 2014 Set 2
+2
-0.6
In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current I(t) (in mA) for t > 0?
A
$$I(t) =\frac53\left(1-e^\frac{-t}\tau\right)\;,\tau=\frac23\;m\;sec$$
B
$$I(t) =\frac52\left(1-e^\frac{-t}\tau\right)\;,\tau=\frac23\;m\;sec$$
C
$$I(t) =\frac53\left(1-e^\frac{-t}\tau\right)\;,\tau=\;3\;m\;sec$$
D
$$I(t) =\frac52\left(1-e^\frac{-t}\tau\right)\;,\tau=\;3\;m\;sec$$
4
GATE ECE 2011
+2
-0.6

In the circuit shown below, the initial charge on the capacitor is 2.5 mC, with the voltage polarity as indicated. The switch is closed at time t=0. The current i(t) at a time t after the switch is closed is

A
i(t) = 15 exp(-2 × 103 t) A
B
i(t) = 5 exp(-2 × 103 t) A
C
i(t) = 10 exp(-2 × 103 t) A
D
i(t) = -5 exp(-2 × 103 t) A
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