GATE ECE 2008 | Transient Response Question 22 | Network Theory

GATE ECE 2008

MCQ (Single Correct Answer)

-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 28 English

GATE ECE 2008 Network Theory - Transient Response Question 28 English

For t > 0, the output voltage V_c(t) is

$$\frac2{\sqrt3}\left(e^{-\frac{\displaystyle1}{\displaystyle2}t}-e^{-\frac{\displaystyle\sqrt3}{\displaystyle2}t}\right)$$

$$\frac2{\sqrt3}te^{-\frac12t}$$

$$\frac2{\sqrt3}e^{-\frac12t}\cos\left(\frac{\sqrt3}2t\right)$$

$$\frac2{\sqrt3}e^{-\frac12t}\sin\left(\frac{\sqrt3}2t\right)$$

GATE ECE 2008

MCQ (Single Correct Answer)

-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 26 English

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

GATE ECE 2008 Network Theory - Transient Response Question 26 English Option 1

GATE ECE 2008 Network Theory - Transient Response Question 26 English Option 2

GATE ECE 2008

MCQ (Single Correct Answer)

-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 27 English

GATE ECE 2008 Network Theory - Transient Response Question 27 English

For t > 0, the voltage across the resistor is

$$\frac1{\sqrt3}\left(e^{-\frac{\displaystyle\sqrt3}{\displaystyle2}t}-\;e^{-\frac12t}\right)$$

$$e^{-\frac12t}\left[\cos\left(\frac{\sqrt3}2t\right)\;-\;\frac1{\sqrt3}\sin\left(\frac{\sqrt3}2t\right)\right]$$

$$\frac2{\sqrt3}e^{-\frac{\displaystyle1}{\displaystyle2}t}\sin\left(\frac{\sqrt{3t}}2\right)$$

$$\frac2{\sqrt3}e^{-\frac{\displaystyle1}{\displaystyle2}t}\cos\left(\frac{\sqrt{3t}}2\right)$$

GATE ECE 2007

MCQ (Single Correct Answer)

-0.6

In the circuit shown, V_C is 0 volts at t = 0 sec. For t > 0, the capacitor current i_C(t), where t is in seconds, is given by GATE ECE 2007 Network Theory - Transient Response Question 29 English