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Electronics and Communication Engineering - Signals and Systems

Exercise : Signals and Systems - Section 4
26.
Fourier transform of an external exponential ejW0t
δ(f - f0)
1
δ(f + f0)
∞
Answer: Option
Explanation:

Eternal mean the range is -∞ to +∞

So F[ejω0t]

=

=δ(f - f0).

27.
If i = 10 + 12 cos 500t - 3.5 sin 500 t, then in amplitude phasse form i =
10 + 12.5 sin (500 t + 106.20°)
5 + 12.5 sin (500 t + 106.20°)
10 + 11 sin (500 t + 106.20°)
10 + 12.5 sin (500 t + 10°)
Answer: Option
Explanation:

Use trigonometric theorem.

28.
The real part of complex frequency s corresponds to oscillations.
True
False
Answer: Option
Explanation:

The real part of s corresponds to change in amplitude.

29.
A unit step function is used to represent the closing a switch in a constant voltage system.
True
False
Answer: Option
Explanation:
No answer description is available. Let's discuss.
30.
A voltage v = 100 sin ωt + 10 sin 5 ωt is applied to a pure capacitor having capacitance of 1 μF. If ω = 314 rad/sec, the current through the capacitor is
0.0314 cos 314 t + 0.0157 cos 1570 t
0.0314 sin 314 t + 0.0157 sin 1570 t
0.0314 cos 314 t + 0.0314 cos 1570 t
0.0157 cos 314 t + 0.0157 cos 1570 t
Answer: Option
Explanation:

For Fundamental .

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