1
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The following series RLC circuit with zero initial conditions is excited by a unit impulse function $$\delta$$(t). GATE ECE 2008 Network Theory - Transient Response Question 25 English For t > 0, the voltage across the resistor is
A
$$\frac1{\sqrt3}\left(e^{-\frac{\displaystyle\sqrt3}{\displaystyle2}t}-\;e^{-\frac12t}\right)$$
B
$$e^{-\frac12t}\left[\cos\left(\frac{\sqrt3}2t\right)\;-\;\frac1{\sqrt3}\sin\left(\frac{\sqrt3}2t\right)\right]$$
C
$$\frac2{\sqrt3}e^{-\frac{\displaystyle1}{\displaystyle2}t}\sin\left(\frac{\sqrt{3t}}2\right)$$
D
$$\frac2{\sqrt3}e^{-\frac{\displaystyle1}{\displaystyle2}t}\cos\left(\frac{\sqrt{3t}}2\right)$$
2
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6

The circuit shown in the figure is used to charge the capacitor C alternately from two current sources as indicated. The switches S1 and S2 are mechanically coupled and connected as follows

GATE ECE 2008 Network Theory - Transient Response Question 24 English

Assume that the capacitor has zero initial charge. Given that u(t) is a unit step function, the voltage Vc(t) across the capacitor is given by

A
GATE ECE 2008 Network Theory - Transient Response Question 24 English Option 1
B
GATE ECE 2008 Network Theory - Transient Response Question 24 English Option 2
C
GATE ECE 2008 Network Theory - Transient Response Question 24 English Option 3
D
GATE ECE 2008 Network Theory - Transient Response Question 24 English Option 4
3
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
In the circuit shown, VC is 0 volts at t = 0 sec. For t > 0, the capacitor current iC(t), where t is in seconds, is given by GATE ECE 2007 Network Theory - Transient Response Question 27 English
A
0.50 exp(-25t) mA
B
0.25 exp(-25t) mA
C
0.50 exp(-12.5t) mA
D
0.25 exp (-6.25t) mA
4
GATE ECE 2006
MCQ (Single Correct Answer)
+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: GATE ECE 2006 Network Theory - Transient Response Question 31 English
A
0.5 A
B
2.0 A
C
1.0 A
D
0.0 A
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