Q. For formation of state equations, the inductors and current sources

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Q. An impulse train is

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Q. Assertion (A): Heaviside partial expansion gives a simple procedure to find inverse Laplace transform of the terms having a complex conjugate pair of roots.

Reason (R): If I(s) = P(s)/Q(s) and all roots of Q(s) = 0 are simple, i(t) will have terms with exponentials having real exponents only.

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Q. If F(jω) is the Fourier transform of f(t), then

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Q. e^(-3t) is a

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Q. The area of an impulse is

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Q. Assertion (A): When a function f(t) is represented as exponential Fourier series, the set of complex coefficients Fn is called frequency spectrum of f(t)

Reason (R): Frequency spectrum is also called line spectrum.

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Q. Auto correlation function

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Q. In RLC circuits the state variables generally selected are

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Q. If u is input, y is output and a, b are constants, the system y = au + b

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Q. The energy of highest value of Autocorrelation of a function 100 cos 50 πt is

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Q. What about causality of the system transfer function of a discrete time system H(z) = z/(z-1)

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Q. Assertion (A): Laplace transform can be used to evalute integrals.

Reason (R): Laplace transform can be used to solve differential equations.

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Q. For a periodic waveform, the power spectral density and correlation function form

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Q. In a oscillator, a sine wave generator starts at t = 0. It consist of

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Q. The function sinc x is equal to

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Q. The function δ' (t-b) is

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Q. Assertion (A): A half cycle of sine wave can be expressed as sum of sine wave and another sine wave shifted by T/2 where T is the time period.

Reason (R): The function u(t - t₀) - u(t - t₀ - T) is a gate function occuring at t = t₀ and of duration T.

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Q. The peak factor is

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Q. Assertion (A): The function ke^(st) with both σ and ω positive and s > 0 depicts a sinusoid whose amplitude increases with time.

Reason (R): If σ = 0, ke^(st) becomes a sinusoid.

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