1
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 R1 after switching.
2
GATE ECE 1991
Subjective
+5
-0
Find the Laplace transform of the waveform x(t) shown in Fig.1.
3
GATE ECE 1991
+2
-0.6
The voltage across an impedance in a network is V(s) = Z(s) I(s), where V(s), Z(s) and $${\rm I}$$(s) are the Laplace Transforms of the corresponding time functions V(t), z(t) and i(t).

The voltage v(t) is

A
$$v\left( t \right) = z\left( t \right)\,.\,i\left( t \right)$$
B
$$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)\,z\left( {t - \tau } \right)d\tau }$$
C
$$v\left( t \right) = \int\limits_0^t {i\left( \tau \right)z\left( {t + \tau } \right)d\tau }$$
D
$$v\left( t \right) = z\left( t \right) + i\left( t \right)$$
4
GATE ECE 1991
+2
-0.6
An excitation is applied to a system at $$t = T$$ and its response is zero for $$- \infty < t < T$$. Such a system is a
A
non-causal system
B
stable system
C
causal system
D
unstable system
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