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: (a) Find the Fourier series of the function f(x) = x²,0 ≤ x < L with period L. (b) Use the previous…

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Q: (Optional) Consider a long whip antenna of the type used on some automobiles and trucks. Show that…

A: Given frequency equation compare with standard formula of frequency we can calculate wavelength,…

Q: 9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below…

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

Q: -iwit, The wave function is given by (x, t) = c[3e-i@it&1(x) + 4e-iw2t¢2(x)] where 1(x) and 2(x) are…

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

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Q: equations are solutions to the wave

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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…

Q: 5) Compute the Fourier series representation of the periodic function ={+1 +1 when 0 < x < λ/2 -1…

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Q: A resonator is formed by a convex mirror of radius R1=-1 m and a concave mirror of radius R2=1.5 m.…

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