78702. To plot frequency spectrum we draw two graphs viz |Fn| versus frequency and φn versus frequency.
78703. If f(t) is an even function, the coefficients Fn in the exponential form of Fourier series
78704. In Laplace transforms s = σ + jω. Which of the following represents true natue of s. Select your answer using the given codes σ has a damping effectσ is responsible for convergence of integral f(t)e-st dtσ has a value less than zero Codes:
78705. Assertion (A): If Reason (R): Displacement in time domain by T becomes multiplication by e-st in s domain.
78706. Assertion (A): Standard deviation is the abscissa of a point of inflection on the probability curve.Reason (R): The equation for probability curve is
78707. If f(t) and F(jω) form a transform pair, then as per symmetry in Fourier transforms
78708. The theoretical power of white noise is
78709. If the value of
78710. If Sn is the power associated with each frequency component and S(f) is the sum of all these powers, normalised power spectral density is
78711. 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.
78712. The area of an impulse is
78713. e-3t is a
78714. To cool 20 litres of water from 320C to 50C in one hour.Calculate the amount of heat removed:
78715. For matrix A, A-1 A = 1
78716. Assertion (A): The Fourier series of the wave shown in the figure does not contain even harmaonics Reason (R): If f(t) = - f(t ± T/2) the function is said to have half wave symmetry.
78717. The following table gives some time functions and the Laplace transformsOf these correctly matched pairs are
78718. If xk = 2k for k ≤ 0 and = 0 for k > 0 X(z) = 2/(2 - z).
78719. In plotting line spectrum
78720. Assertion (A): Transient periods are of short duration but can result in dangerously high voltages and currents.Reason (R): Circuit equations in transient analysis are integral differential equations.
78721. If f(t) ↔ F(jω), ↔
78722. The energy of highest value of Autocorrelation of a function 100 cos 50 p t is
78723. If u is input, y is output and a, b are constants, the system y = au + b
78724. In RLC circuits the state variables generally selected are
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