1
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
The laplace transform of $$i(t)$$ is given by
$$I\left( s \right) = {2 \over {s\left( {1 + s} \right)}}$$ As $$t \to \infty ,$$ the value of $$i(t)$$ tends to __________.
$$I\left( s \right) = {2 \over {s\left( {1 + s} \right)}}$$ As $$t \to \infty ,$$ the value of $$i(t)$$ tends to __________.
2
GATE ECE 1999
MCQ (Single Correct Answer)
+1
-0.3
If $$\,\,L\left\{ {f\left( t \right)} \right\} = F\left( s \right)$$ then $$\,\,\,L\left\{ {f\left( {t - T} \right)} \right\}$$ is equal to
3
GATE ECE 1998
MCQ (Single Correct Answer)
+1
-0.3
If $$\,\,\,L\,\,\left\{ {f\left( t \right)} \right\} = {w \over {{s^2} + {w^2}}}$$ then the value of
$$\mathop {Lim}\limits_{t \to \infty } f\left( t \right) = $$ ____________.
$$\mathop {Lim}\limits_{t \to \infty } f\left( t \right) = $$ ____________.
4
GATE ECE 1997
MCQ (Single Correct Answer)
+1
-0.3
The laplace transform of $${e^{\alpha t}}\,\cos \,\alpha \,t$$ is equal to ____________.
Questions Asked from Transform Theory (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
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
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics