1

GATE EE 2002

Subjective

+5

-0

A single input single output system with $$y$$ as output and $$u$$ as input, is described by
$$${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + 10y = 5{{d\,u} \over {dt}} - 3\,u$$$

For the above system find an input $$u(t),$$ with zero initial condition, that produces the same output as with no input and with the initial conditions.

$${{d\,y\left( {{0^ - }} \right)} \over {dt}} = - 4,\,\,\,y\left( {{0^ - }} \right) = 1$$

For the above system find an input $$u(t),$$ with zero initial condition, that produces the same output as with no input and with the initial conditions.

$${{d\,y\left( {{0^ - }} \right)} \over {dt}} = - 4,\,\,\,y\left( {{0^ - }} \right) = 1$$

2

GATE EE 1997

Subjective

+5

-0

A first order system is initially at rest and excited by a step input at time $$t=0.$$ Its output becomes $$1.1$$ $$V$$ is in $$4$$ seconds and eventually reaches a steady state value of $$2V$$. Determine its time

3

GATE EE 1992

Subjective

+5

-0

The impulse response of a network is $$h\left( t \right) = 1$$ for $$0 \le t < 1$$ and zero otherwise. Sketch the impulse response of two such networks in cascade, neglecting loading effects.

Questions Asked from Linear Time Invariant Systems (Marks 5)

Number in Brackets after Paper Indicates No. of Questions

GATE EE Subjects

Electromagnetic Fields

Signals and Systems

Engineering Mathematics

General Aptitude

Power Electronics

Power System Analysis

Analog Electronics

Control Systems

Digital Electronics

Electrical Machines

Electric Circuits