Electronics and Communication Engineering - Signals and Systems

41.
Let be the Fourier transform of y(n), then y(ej0) is
1/4
2
4
4/3
Answer: Option
Explanation:

.


42.
The Laplace transform of a vlotage across a capacitor is Vc (s) = . If capacitor is 0.5 F, The current through capacitor at t = 0+ is
0 A
2 A
0.5 A
1 A
Answer: Option
Explanation:

.


43.
The value of Integral (t2 + 2) δ(t - 3)dt is equal to
11
3
9
0
Answer: Option
Explanation:

Because t = 3 is lies out of integral limit.


44.
The z transform of sequence x[n] = {2, 4, 3, 2}
2z-1 + 4z-2 + 3 + 2z+1
2z-1 + 3 + 4z+1 + + 2z+2
2z+1 + 3z-1 + 4z-2 + 2z-3
3 + 2z-1 + 4z-2 + 2z-1
Answer: Option
Explanation:

n(z) = 2z+2 + 4z+1 + 3 + 2z-1 or 2z-1 + 3 + 4z+1 + 2z+2

.


45.
For the function u(t - a) = 0 for t < a and u(t - a) = 1 forta, the Laplace transform is
Answer: Option
Explanation:

£f(t) =

£-1F(s) = f(t)

£[a f1(t) + bf2(t)] = aF1(s) + bF2(s)

where

£[f(t - T)] = e-sT F(s)

£[e-at f(t)] = F(s + a)

Initial value theorem

Final value theroem

Convolution Integral

where t is dummy variable for t.