Q. In Laplace transform, multiplication by e^(-at) in time domain becomes

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Q. The F.T. of a conjugate symmetric function is always

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Q. Which one is time invariant system?

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Q. The Fourier series representation of a periodic current (2 + 6√2 cos ωt +√48 sin 2ωt) A. The effective value is

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Q. If X(z) = z+z¯³ / z+z¯¹, then x(n) series has

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Q. If f=0

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Q. An ac circuit has an impedance of (2 - j 9) Ω for third harmonic. The impedance for fundamental is

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Q. The ROC of sequence x[n] = (0.8)ⁿ ∪[n] + (0.4)ⁿ ∪[n]

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Q. Pick the odd one

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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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