1
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A system is described by the following differential equation, where u(t) is the input to the system and y(t) is output of the system $$\mathop y\limits^ \bullet \left( t \right) + 5y\left( t \right) = u\left( t \right)$$
When y(0) = 1 and u(t) is a unit step function, y(t) is
2
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
A system is described by the differential equation $$${{{d^2}y} \over {d{t^2}}} + 5{{dy} \over {dt}} + 6y\left( t \right) = x\left( t \right)$$$
Let x(t) be a rectangular pulse given by $$$x\left( t \right) = \left\{ {\matrix{ {1\,\,\,\,\,\,\,\,\,0 \le \,t\, \le 2} \cr {0\,\,\,\,\,otherwise} \cr } } \right.$$$
Let x(t) be a rectangular pulse given by $$$x\left( t \right) = \left\{ {\matrix{ {1\,\,\,\,\,\,\,\,\,0 \le \,t\, \le 2} \cr {0\,\,\,\,\,otherwise} \cr } } \right.$$$
Assuming that y(0) = 0 $${{dy} \over {dt}} = 0$$ at t = 0, the Laplace transform of y(t) is
3
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
If $$F\left( s \right) = L\left[ {f\left( t \right)} \right] = {{2\left( {s + 1} \right)} \over {{s^2} + 4s + 7}}$$ then the initial and final values of f(t) are respectively
4
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
Given f(t) = $${L^{ - 1}}\left[ {{{3s + 1} \over {{s^3} + 4{s^2} + \left( {K - 3} \right)s}}} \right].$$
If $$\matrix{
{Lim\,f\,\left( t \right) = 1,} \cr
{t \to \infty } \cr
} \,\,$$ then the value of K is
Questions Asked from Continuous Time Signal Laplace Transform (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2016 Set 1 (1)
GATE ECE 2015 Set 2 (1)
GATE ECE 2015 Set 1 (1)
GATE ECE 2014 Set 4 (3)
GATE ECE 2014 Set 3 (1)
GATE ECE 2014 Set 1 (1)
GATE ECE 2013 (1)
GATE ECE 2011 (1)
GATE ECE 2010 (1)
GATE ECE 2009 (1)
GATE ECE 2006 (1)
GATE ECE 2005 (1)
GATE ECE 2002 (1)
GATE ECE 1996 (1)
GATE ECE 1993 (2)
GATE ECE 1988 (1)
GATE ECE 1987 (1)
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Communications
Electromagnetics
General Aptitude