1
GATE ECE 2017 Set 2
Numerical
+1
-0
In the circuit shown, $$V$$ is a sinusoidal voltage source. The current $$I$$ is in phase with voltage $$V$$. The ratio $${{{\rm{Amplitude of voltage across the capacitor }}} \over {{\rm{Amplitude of voltage across the resistor }}}}$$ is ______. GATE ECE 2017 Set 2 Network Theory - Sinusoidal Steady State Response Question 32 English
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2
GATE ECE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The input x(t) and the output y(t) of a continuous time system are related as $$y\left( t \right) = \int\limits_{t - T}^t {x\left( u \right)du.} $$. The system is
A
Linear and time variant
B
linear and time invariant
C
non linear and time variant
D
nonlinear and time invariant
3
GATE ECE 2017 Set 2
Numerical
+2
-0
The transfer function of a causal LTI system is H(s) = 1/s. If the input to the system is x(t) = $$\left[ {\sin (t)/\pi t} \right]u(t);$$ where u(t) is a unit step function. The system output y(t) as $$t \to \infty $$ is _____________________.
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4
GATE ECE 2017 Set 2
Numerical
+2
-0
Consider the parallel combination of two LTI systems shown in the figure. GATE ECE 2017 Set 2 Signals and Systems - Continuous Time Linear Invariant System Question 6 English

The impulse responses of the systems are


$${h_1}(t) = 2\delta (t + 2)\, - 3\delta (t + 1)$$
$${h_2}(t) = \delta (t - 2)$$
If the input x(t) is a unit step signal, then the energy of y(t) is__________________.
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