Q. Assertion (A): L[af1(t) + bf2(t)] = aF1(s) - bF2(s)

Reason (R): Initial value theroem enables us to find the value of f(t) at t = 0 directly from F(s)

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Q. The Laplace transform of impulse δ(t) is

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Q. The impulse response of discrete time system is x[n] = (4)ⁿ ∪ [3 - n], the system is

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Q. If F(s) is the Laplace transform of f(t) then Laplace transform of df(t)/dt =

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Q. Assertion (A): L[e^(-at) f(t)] = F(s + a)

Reason (R): In use of Laplace transform method, initial conditions may be neglected.

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Q. An ac sinusoidal wave has an rms value of 10 V. The peak to peak value is

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Q. A complex wave is 5 + 5 sin ωt. Its rms value is

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Q. The energy of constant amplitude complex valued exponential sequence is ...

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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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