Build a hybrid VI to analyze the RL circuit shown in Figure using Fourier series. R=10 i(t) L-1H vt) Figure 8. RL Series Circuit with Periodic Input Voltage The input voltage for the circuit is to be either a square wave or a triangular wave with a period T=2 seconds. Compute and display the following: 1. The Fourier series coefficients of the input voltage v(t). 2. The current i(t). 3. The RMS (root mean square) value of v(t) using (i) the original waveform and (i) its Fourier series coefficients (compare the outcomes), 4. The average power P, delivered by the source.

Build a hybrid VI to analyze the RL circuit shown in Figure using Fourier series. R=10 i(t) L-1H vt) Figure 8. RL Series Circuit with Periodic Input Voltage The input voltage for the circuit is to be either a square wave or a triangular wave with a period T=2 seconds. Compute and display the following: 1. The Fourier series coefficients of the input voltage v(t). 2. The current i(t). 3. The RMS (root mean square) value of v(t) using (i) the original waveform and (i) its Fourier series coefficients (compare the outcomes), 4. The average power P, delivered by the source.

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...

See similar textbooks

Similar questions

A. Consider the two signals whose Fourier Series Spectrum as shown below. Assume that the units of frequency are kiloHertz (kHz). Look at the figure in the picture. What is the Fourier Series Spectrum of the product of these two signals? Pick among the choices. ============================================ B. Suppose that a signal cos⁡(2π⋅10t) modulates a cosinusoidal carrier cos⁡(2π⋅250t), and then mixed with another cosine at the same frequency, i.e. y(t)=cos⁡(2π⋅10t)⋅cos⁡(2π⋅250t)⋅cos⁡(2π⋅250t) Which of the following is an equivalent expression for y(t)? Select one: a. cos⁡(2π⋅510t) b. 0.5cos⁡(2π⋅240t)+0.5cos⁡(2π⋅260t) c. 0.5cos⁡(2π⋅250t)+0.25cos⁡(2π⋅240t)+0.25cos⁡(2π⋅260t) d. 0.5cos⁡(2π⋅10t)+0.25cos⁡(2π⋅490t)+0.25cos⁡(2π⋅510t)
Consider a continuous time periodic signal ?(?) with fundamental period 8 and Fourier series coefficients in the image If the signal is real valued and other Fourier series coefficients are zero, express the signal in the following form in the image
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.) An and bn for odd and even signals both coefficients Should it be calculated? Why is that? d.) An amplitude that lasts 1Volt and 1sec. square wave to Fourier series how many pieces you want to open sine and cosine sign should you use it? Why is that? Explain.
Q1. Show that the time compression of a periodic signal by a factor of a expands the Fourier spectra by the same factor.
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.
Mention Dirichlet's conditions for the existance of Fourier series.
Find the Continuous-Time Fourier Series coefficients for the following continuous-time signal: ?(?) = ? 0 < ? < 4 with a fundamental period of ? = 4
Put (TRUE) or (FALSE) and say why : - Fourier series is only applicable for periodic signals.
A periodic signal x(t) is given as following. a) Find the fourier series components via complex notation -ck- and then obtain coefficients ak and bk. b) Plot the first three frequency components of the frequency spectrum of the signal together with the DC term. (a±1, a±2, a±3).
Know how to analyze a circuit’s response to a periodicwaveform The periodic square-wave shown on the top is applied to the circuitshown on the bottom.1. Derive the first four nonzero terms in the Fourier series thatrepresents the steady-state voltage vo if Vm=210π V and the periodof the input voltage is 0.2πms. 2. Which harmonic dominates the output voltage? Explain why.
Derive the following using the formula below of the Fourier Series, An, Bn and Ao. Find such that An = -4/(pin)^2 and Bn = 0, and Ao = 1/2
Which of the signals with at least two periods drawn can belong to the signal whose Fourier series and coefficient formulas are given on the right? Write down the reasons. (Attention: This question does not want to write anything integral. Use features such as symmetry)