Q. The Laplace transform of a vlotage across a capacitor is Vc (s) = 1 / s²+1 . If capacitor is 0.5 F, The current through capacitor at t = 0⁺ is

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Q. Assertion (A): Intergal of a unit step function is a ramp of slope unity.

Reason (R): If f(t) = sin wt, F(s) = 1/(s² + w²)

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Q. If L[f(t)] = 2(s+1)/ s²+2s+5 , then, f(0⁺) and f(∞) are given by

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Q. The signal define by the equations u(t - a) = 0 for t < a and u(t - a) = 1 for t ≥ a is

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Q. A voltage wave v = 10 + 20 sin ωt + 7.5 sin 3 ω(t) is applied to a series combination of two elements. The current is i = 5 sin (ωt + 20°) + 1.5 sin (3ωt + 10°). The elements are

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Q. If F(t) = δ(t - a), F(s)=

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Q. The property is not valid for basic singularity function is

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Q. Magnitude Plot of a Composite signal x(t) = e^(2jt) + e^(3jt) is

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Q. The trignometric Fourier series of an even function of time does not have

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Q. An ac wave with superimposed dc is symmetrical about x - axis.

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Q. 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.

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Q. State variables which describe a system are a unique set.

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Q. The z- transform of a systerm is H(z) = z/(z-0.2). If the ROC is |z| < 0.2, then the impluse response of the system is

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Q. ROC of sequence x[n] = (3)ⁿ ∪[n] + (4)ⁿ ∪[- n - 1]

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Q. δ(t - b) is a pulse function.

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Q. A signal x(n) = sin(ω₀n + φ) is the input to a linear time invariant system having a frequency response H(e^(jω)). If the O/P of the system is Ax(n -n₀), then the general form of H(e^(jω)) will be

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Q. A casual system having the transfer function H(s) = 1/(s+2) is excited with 10 ∪(t). The time at which the output reaches 99% of its steady-state value is

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Q. For exponential function e^(-at) the Laplace transform 1/(s - a)

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Q. Consider the sequence x[n] = [- 4 - j5 1 + J2 4]

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Q. A voltage v = 5 + 50 sin ωt + 5 sin 5 ωt is applied to a pure capacitor of capacitance 1 ωF. If f/= 314 rad/sec, current is

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