1
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The time domain behavior of an RL circuit is represented by $$$\mathrm L\frac{\mathrm{di}\left(\mathrm t\right)}{\mathrm{dt}}+\mathrm{Ri}\;=\;{\mathrm V}_0\left(1\;+\;\mathrm{Be}^{-\mathrm{Rt}/\mathrm L}\;\sin\;\mathrm t\right)\mathrm u\left(\mathrm t\right)$$$ For an initial current of i(0) = $$\frac{{\mathrm V}_0}{\mathrm R}$$, the steady state value of the current is given by
A
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{{\mathrm V}_0}{\mathrm R}$$
B
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{2{\mathrm V}_0}{\mathrm R}$$
C
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{{\mathrm V}_0}{\mathrm R}\left(1+\mathrm B\right)$$
D
$$\mathrm i\left(\mathrm t\right)\rightarrow\frac{2{\mathrm V}_0}{\mathrm R}\left(1+\mathrm B\right)$$
2
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
The switch in the circuit shown was on position ‘a’ for a long time and is moved to position ‘b’ at time t = 0. The current i(t) for t > 0 is given by GATE ECE 2009 Network Theory - Transient Response Question 23 English
A
0.2e-125t u(t) mA
B
20e-1250t u(t) mA
C
0.2e-1250t u(t) mA
D
20e-1000t u(t) mA
3
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3

In the interconnection of ideal sources shown in the figure, it is known that the 60V source is absorbing power.

GATE ECE 2009 Network Theory - Network Elements Question 35 English

Which of the following can be the value of the current source I?

A
10 A
B
13 A
C
15 A
D
18 A
4
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
Consider a system whose input x and output y are related by the equation $$$y(t) = \int\limits_{ - \infty }^\infty {x(t - \tau )\,h(2\tau )\,d\tau } $$$

Where h(t) is shown in the graph.

GATE ECE 2009 Signals and Systems - Continuous Time Linear Invariant System Question 15 English

Which of the following four properties are possessed by the system?


BIBO: Bounded input gives a bounded output.
Causal: The system is casual.
LP: The system is low pass.
LTI: The system is linear and time- invariant.
A
Causal, LP
B
BIBO, LTI
C
BIBO, Causal, LTI
D
LP, LTI
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