-SA Section: sents the input ented in t )et dw 'Ch 18) ing Abdulaziz University, Jeddah, KSA aculty of Engineering E 301 Electrical Circuits and Systems nal Exam - Winter Semester - 2024 (English): Name (Arabic): Section: (10 points) Consider the input voltage source waveform shown in Fig. 3 for a specific circuit. Determine the corresponding function and then find its Fourier series expansion v(t) A 10 -2л 0 πT 2π 4л t Figure 3: Q3 circuit

Signal & Systems Describe the differences between Fourier Series and Fourier Transform.

Determine whether the following signals are periodic and plot all signals. If a signal is complex, determine its magnitude and phase and find and plot its real and imaginary parts. For each periodic signal, determine its fundamental period, fundamental frequency, fundamental angular frequency, and average power. Calculate the average power. Include the units for these quantities.

1,1•K/s "| Asiacell 2_53008416574... Electrical Engineering Department Subject: Eng. Analysis Class: 3 stage-Evening study Date: 21 /2/2021 Time: 1.5 Hours. Examiner:Lect.Hussein Tuama Еxam: Mid Q1-A) Determine the half range Fourier Sine Series for the function f(t) = sin t ost2 Q1-B) suppose x(t) has Fourie transforms of x(2t) and x(t + 1) X(@) = e-w etermine Q2-A) Find Inverse Fourier transform of f(w) A Q2-B) Find the power of the following signal f(t) = sin?t Cos3t Q3) If f(z) is analytic function and u(x, y) = x³ – 3xy find f(z) O O D

C) Put (TRUE) or (FALSE) and say why : - Fourier series is only applicable for periodic signals.

Illustrate, by means of a single sketch, the frequency domain of a 10 kHz square wave with a 20 dBm level. Your frequency range must be from 0-60 kHz.       PROCESS: You can make a hand sketch on a piece of paper, take a photo of it and then copy the photo into the block below. Alternatively, you can sketch it using a software package of your choice.

A periodic function is represented by a Fourier series that has afinite number of terms. The amplitude and phase spectra are shown in(a) and (b), respectively. Is the current an even or odd function of t?

* :For an non-periodic signal the following is true .A. The signal comprises one period only .A It could be continuous or discrete A. The signal has value only at certain instants .A. None of mentioned A. The signal comprises one cycle that repeats itself every T A. The signal has a period T بذة السؤال متلوب

write fourier function.

Differentiate between the representation of a signal in the time domain and in the frequency domain. short answer please