Ex. 955. Given a zero-centered delta function of area 71 volt-seconds. Evaluate the Fourier transform at f=7.0000 Hz. X bar (f) is a complex function: amplitude X(f) and angle part. ans:2

Q: onential Fourier series and spe

A: Let the exponential form of Fourier series is x(t)=∑n=-∞∞cneint, where cn=12T∫-TTx(t)e-intdt

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A: Given:

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A: We know that the exponential formula of trigonometry of sinA  sinA=[e(iA)-e(-iA)]÷(2i) By using this…

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A: So we will basically calculate the average of energy by doing normalization. Then the square of the…

Q: 3. Given the initial wavefunction ¥ (x, 0) = A x exp (- k x ) with x > 0 and k > 0, and ¥ (x, 0) = 0…

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Q: Q1) A- Two signals x1(t) and x2(t) having Fourier transforms X1(f) and X2(f)shown in figure (1) are…

A: 1. Given y(t)=x1(t)+2x2(t)cos2πfctfc=20.000 kHz From the figure, The cutoff frequency for x1(t) is…

Q: 1 using the Convolution The- Find the inverse Fourier transform of (iw + 3)3 (-) orem on Fourier…

A: I have written the formula for part of question in which we apply convolution theorem. Have a look

Q: Find the fourier transform of f(x) defined by f(x) = { = ( and hence evaluate +∞ sin pacos pl du |x|

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Q: Find form factor of the following waveform v(t) Vm 0.8Vm 0.5Vm 01 02 e(rad)

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Q: Consider the definition of plane waves. Can they exist in a very high-loss material? If so, what are…

A: Answer is: Consider the definition of plane waves. Plane waves are those which have uniform…

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Q: Given that λ = 2L/3. Use the wave equation to show that for the third harmonic, f = 3v/2L.

A: Given:- the wavelength λ = 2L/3.  Find:- Use the wave equation to show that for the third harmonic,…

Q: Find the Fourier series of the periodic function x(t) of fundamental period T. Assume any arbitrary…

A: Assuming a rectangular wave as a function of fundamental period 1 as below, Here period p = 2L=1,…

Q: Show that the Fourier series for f(x) in the interval − < x < π is: -

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Q: 4) By using the Fourier transform method Fourier Series solve the PDES ou t

A: Solution:e -iωx e -k ω2t  will solve the heat equation ut=k uxx sou(x, t) = ∫-∞∞c(ω)e -iωx e -k ω2t…

Q: (d) x(t) = sin(3pi t) (third harmonic sine) and h(t) = sin (4pi t) (fourth harmonic sine)   Answer…

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Q: (SNR = 6 dB)

A: Given as,

Q: Consider a wavefunction defined by: xL The product of the normalisation constant A and , 52 is equal…

A: In this problem, we will use the normalisation condition to calculate the value of A

Q: Obtain Fourier transformation for following function and also its integral representations.

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Q: Ques. 7: Find the exponential Fourier series representation of the following signals: (a) = y(t) =…

A: Solution: a). The exponential Fourier series can be given in the following form: yt=∑-∞∞cnejnωot,…

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Q: Solve F[Re[g(t)]] using the Fourier Transform Properties

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Q: vestigate the stability of the explicit method for the "e equation.

A: The stability of an explicit method for the wave equation refers to the ability of the method to…

Q: - M₁M₂w¹ – 2C(M₁ + M₂)² + 2C²(1 — cos Ka) = 0. (22) We can solve this equation exactly for w², but…

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Q: 1. To eliminate reflections of normally incident plane waves, a dielectric slab of thickness d and…

A: Given, εr1=1 and εr3=16 f=3 According to quarter wave transformation technique, the thickness is…

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Q: ,6. Let h be a given number in the interval (0, T). Find the Fourier cosine series of the function…

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Q: 1. For the following continuous time signals, determine the fundamental angular frequency w, and the…

A: 1. (a) x(t)=2 cos23t+sin14tx(t)=2ei2/3t+e-i2/3t2+sinei1/4t-e-i1/4t2ias we know…

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A: Given:radius of convex mirror, R1 = 1 mradius of the concave mirror, R2 = 1.5 m(we ignore the given…

Q: II) Find the exponential Fourier transform of the given function I, -T<x<T f(x) = { 0, otherwise,…

A: As given, The function, fx=x,     -π&lt;x&lt;π0,      otherwise   Define the exponential Fourier…

Q: 4. The mechanical system represented in the figure consists of a block with mass m = 40kg and a…

A: Concept used: Angular frequency can be calculated from given data.

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