Signals and Systems - ECE Questions and Answers

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Assertion (A): If , the final value of i(t) = 10

Reason (R): If , the initial value i(t) = 2

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

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An ac circuit has an impedance of (3 + j6) ohm for fundamental. The impedance for fifth harmonic is

(15 + j 30) Ω

(15 + j 6) Ω

(3 + j 30) Ω

(3 + j 1.2) Ω

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Which of following is recursive system?

y(n - 1)

y(n + 1)

y(n)

y(n) + y(n + 1)

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In terms of signum function sgn(t), unit step function u(t) =

1 + sgn(t)

1 - sgn(t)

0.5 + 0.5 sgn(t)

0.5 - 0.5 sgn(t)

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Choose correct option

var (X + Y) = Var (X) + Var (Y)

var (X - Y) = Var (X) + Var (Y)

var (X + Y) = Var (X) x Var (Y)

Both (a) and (b)

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If sequence y(n) = x(-n) then it is

Causal

Non-Causal

Depends on x(-n)

None

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In the given figure 15.6 shows a series, R - C circuit fed by a current source i(t). There is an initial voltage v₀. across the capacitor. The system

is linear

is non linear

may be linear or non linear

is linear only if v₀ is zero

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The function δ(t - b) is

an impulse function

a step function originating at t = b

an impulse function originating at t = b

none of the above

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An ac network has a power factor of 0.8 lagging for fundamental frequency. If the applied voltage contains thrid and fifth harmonics, the overall power factor will be

more than 0.8 lagging

0.8 lagging

less than 0.8 lagging

0.8 lagging or less