1
GATE ECE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A series RC circuit is connected to a DC voltage source at time t = 0. The relation between the source voltage VS, the resistance R, the capacitance C, and the current i(t) is given below: $$V_{s\;}=\;Ri(t)+\frac1c\int_0^ti(u)du$$\$ Which one of the following represents the current f(t)?
A
B
C
D
2
GATE ECE 2014 Set 2
Numerical
+1
-0
In the figure shown, the ideal switch has been open for a long time. If it is closed at t=0, then the magnitude of the current (in mA) through the $$4k\Omega$$ resistor at t = 0+ is _______.
Your input ____
3
GATE ECE 2012
MCQ (Single Correct Answer)
+1
-0.3
In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is.
A
zero
B
a step function
C
an exponentially decaying function
D
an impulse function
4
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
If the unit step response of a network is $$(1-e^{-\alpha t})$$, then its unit impulse response is
A
$$\alpha\;e^{-\alpha t}$$
B
$$\alpha^{-1}\;e^{-\alpha t}$$
C
$$(1-\alpha^{-1})e^{-\alpha t}$$
D
$$(1-\alpha)e^{-\alpha t}$$
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