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

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