1f(t)T2Ta) List all symmetries applicable to the periodic function shown above.b) Find the Fourier series for f(t).c) Using the formula for the rms value of a periodic function, show that=Σn-1,3,5...n²[Hint: first find the rms value directly in the time domain (easy), then make use of the frequency domainformula.]

Step 1:Part (a)To find the list all symmetries applicable to the periodic function shown below.…

Answered: 1 f(t) T 2T a) List all symmetries…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Give proper explanation Please help with this question about the Fourier series. Show your solution and how to find a time period.
Fourier series sine of a periodic sign and sums of the cosine signs written in terms of definable. Mark from this definition; a. Write the Fourier series expansion. b. Fourier series coefficients with the trigonometric method how Show that it is calculated. c. Moment and bn for single and even signals both coefficients Should it be calculated? Why is that? D. 1volt amplitude and a square wave to Fourier series how many pieces you want to open sine and cosine sign should you use it? Why is that? Explain.
1) For the signals shown in below,a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f).b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f).c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f).d) What is the spectrum of the negative half-sine pulse shown in figure (c) ? Sketch amplitude spectrum of the G(f).e) Find the spectrum of the single sine pulse shown in figure (d). Sketch amplitude spectrum of the G(f).
1) For the signals shown in below, a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f). b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f). c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f). d) What is the spectrum of the negative half-sine pulse shown in figure (c) ? Sketch amplitude spectrum of the G(f). e) Find the spectrum of the single sine pulse shown in figure (d). Sketch amplitude spectrum of the G(f). g(t) g(f) -T/4 0 T/4 T/2 (b) g(f) g(t) -T/2 -T/2 0. 0. T/2 -A -A (d)
Fourier theory states that any sinusoidal signal may be represented or analyzed as the sum of a fundamental sine wave at the signal frequency plus odd, even, or odd plus even nonharmonic sine waves of different phases and amplitudes. True False
Questions A.Determine the rms value of the waveform. B. Given that the waveform forms the input of a circuit of resistance 5ohms, write the Fourier expression for the current flowing in the circuit. Hence determine its rmsvalue. C. The circuit, in “e” is modified by including a 15.92mH inductor in series with the resistor. What is the power factor of the new circuit?
a) Find the Fourier transform of the half-cosine pulse in figure (a). Sketch amplitude spectrum of the G(f). b) Apply the time-shifting property to the result obtained in part (a) to evaluate the spectrum of the half-sine pulse shown figure (b). Sketch amplitude spectrum of the G(f). c) What is the spectrum of a half-sine pulse in figure (b) having a duration equal to aT ? Sketch amplitude spectrum of the G(f). d) What is the spectrum of the negative half-sine pulse shown in figure (c) ? Sketch amplitude spectrum of the G(f). e) Find the spectrum of the single sine pulse shown in figure (d). Sketch amplitude spectrum of the G(f). g(t) g(t) A -T/4 0 T/4 T/2 (a) (b) g(t) g(t) -T/2 -T/2 T/2 -A -A (c) (d)
Problem 1 For the periodic function in figure shown, specify: a. wo in radians per second b. fo in hertz c. the value of ao d. the equations for a, and b, e. v(t) as a Fourier series
Please take your time and make sure the answer is correct, and show all work. Thank you!
Write the Fourier expression for the first six non-zero sinusoidal terms for the waveform shown in the figure. Write the simplified Fourier series expression substituted value of the angular frequency and sketch the frequency domain representation of the harmonics for the waveform.
"i" i. 159 ii. Figure #3 The circuit shown in Figure #3 is supplied by the unfiltered output "v" of a full wave rectifier circuit. The Fourier expression of the voltage is given by: v = 60 + 54.08Coswt +11.18Cos3wt + 5.22Cos5wt+... 13.26 mH ww If the frequency of the AC input to the rectifier is 60 Hz, determine An expression for the current flowing through the circuit The power factor of the circuit.
Need correctly in neat and clean handwritten solution.

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