1

GATE ECE 1999

Subjective

+5

-0

In the circuit of figure, the switch $$'S'$$ has remained open for a long time. The switch closes instantaneously at $$ t = 0$$.
n

(a) Find $${V_0}$$ for $$t \le 0$$ and as $$t \to \infty $$.

(b) Write an expression for $${V_0}$$ as a function of time for $$0 \le t \le \infty $$.

(c) Evaluate $${V_0}$$ at $$t = 25\,\,\mu $$sec.

2

GATE ECE 1994

Subjective

+5

-0

The circuit shown in the figure, is initially in its steady state. Switch is opened at
t = 0.

(1) Determine the initial voltage, V

(2) Calculate the voltage, V

(1) Determine the initial voltage, V

_{C}(0^{-}), across the capacitor, and the initial current, i_{L}(0^{-}) , through the indicator.(2) Calculate the voltage, V

_{L}(t) , across the inductance for t > 0.3

GATE ECE 1993

Subjective

+5

-0

In the following circuit the capacitance varies as C = KQ, where K is a constant
equal to 0.5 Farads/Coulomb and Q, the charge on the capacitor in Coulombs.
Determine the current through the circuit and sketch the voltage waveform
across the capacitor (V

_{C}) for a step input V_{i}as shown in figure.4

GATE ECE 1991

Subjective

+5

-0

The network shown in figure is
initially under steady-state
condition with the switch in
position 1. The switch is moved
from position 1 to position 2 at t =
0. Calculate the current
i(t) through R

_{1}after switching.Questions Asked from Transient Response (Marks 5)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series
Fourier Transform
Continuous Time Signal Laplace Transform
Discrete Time Signal Fourier Series Fourier Transform
Discrete Fourier Transform and Fast Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Discrete Time Linear Time Invariant Systems
Transmission of Signal Through Continuous Time LTI Systems
Sampling
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics