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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)
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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Part II: RL Circuit Analysis 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 (ii) its Fourier series coefficients (compare the outcomes), 4. The average power P, delivered by the source. Hints: RMS Value The RMS value of a periodic function v(t) with period T is given by: V - 1 vdt The RMS value of a waveform consisting of sinusoids with different frequencies is equal to the square root of the sum of the squares of the RMS value of each sinusoid. If a waveform is represented by the following Fourier series: v(t)= V, + V,sin(w,t +y.)+Vsin(w,t +y,)+... + Vysin(wyt +x) then, the RMS value Vuws is given by: V. V + V. V. Vrss = + ... + Average power The average power of the Fourier series can be expressed as: P = V,I, + VIRMSIARMSCOSP, + VanMes IanmesCOSp, + ..
Transcribed Image Text:Part II: RL Circuit Analysis 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 (ii) its Fourier series coefficients (compare the outcomes), 4. The average power P, delivered by the source. Hints: RMS Value The RMS value of a periodic function v(t) with period T is given by: V - 1 vdt The RMS value of a waveform consisting of sinusoids with different frequencies is equal to the square root of the sum of the squares of the RMS value of each sinusoid. If a waveform is represented by the following Fourier series: v(t)= V, + V,sin(w,t +y.)+Vsin(w,t +y,)+... + Vysin(wyt +x) then, the RMS value Vuws is given by: V. V + V. V. Vrss = + ... + Average power The average power of the Fourier series can be expressed as: P = V,I, + VIRMSIARMSCOSP, + VanMes IanmesCOSp, + ..
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