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Electronics and Communication Engineering - Signals and Systems

Exercise : Signals and Systems - Section 2
11.
The trignometric Fourier series of an even function of time does not have
dc term
cosine term
sine term
odd harmonic terms
Answer: Option
Explanation:

An even function cannot have sine terms because for an even function f( - x) = f(x).

12.
Z transformer of
aX(z) - bY(z)
aX(z) + bY(z)
aX(z) + bY(z) + a/b
aX(z) + bY(z) + bY(z) - a/b
Answer: Option
Explanation:

Z transform possesses the property of linearity.

13.
An ac wave with superimposed dc is symmetrical about x - axis.
True
False
Answer: Option
Explanation:

It is not symmetrical about x - axis.

14.

Assertion (A): If a wave v = A1 + A2 sin ωt is applied to a pure capacitor the current wave is
i = A3 sin(ωt + 90°)

Reason (R): A capacitor presents infinite impedance to dc.

Both A and R are correct and R is correct explanation of A
Both A and R are correct but R is not correct explanation of A
A is true, R is false
A is false, R is true
Answer: Option
Explanation:

Since capacitor presents infinite impedance to dc, voltage component A1, does not cause any current.

15.
State variables which describe a system are a unique set.
True
False
Answer: Option
Explanation:

It is not a unique set.

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