24. (a) An electrical load requires a sinusoidal voltage v(t), as shown in Fig. 24(a)(i), to operate. However, an AC supply is not readily available and so a squarewave û(t) is generated from a DC supply as shown in Fig. 24(a)(ii) to approximate the desired signal v(t) and drive the load. Af 10 20 30 40 v(t) 6v+- 3 V -4 V →t (ms) Fig. 24(a)(i): A sinusoidal signal. û (t) hr 10 20 30 40 Vp -4 V- t (ms) Fig. 24(a)(ii): A discrete sinusoidal signal. (i) Determine the equation describing the voltage signal v(t) in Fig. 24(a)(i) and express it in the form v(t) = A cos(Bt+C) + D for some constants A > 0, B > 0, C > 0, and D > 0. (ii) If the RMS value of the squarewave signal û(t) in Fig. 24(a)(ii) and the sinusoidal signal v(t) in Fig. 24(a)(i) are to be equal, briefly explain whether the peak voltage V₂ of the squarewave signal should be larger, smaller, or equal in value compared to the peak voltage of the sinusoidal signal v(t). Note: It is not necessary to determine the exact value of V.

24. (a) An electrical load requires a sinusoidal voltage v(t), as shown in Fig. 24(a)(i), to operate. However, an AC supply is not readily available and so a squarewave û(t) is generated from a DC supply as shown in Fig. 24(a)(ii) to approximate the desired signal v(t) and drive the load. Af 10 20 30 40 v(t) 6v+- 3 V -4 V →t (ms) Fig. 24(a)(i): A sinusoidal signal. û (t) hr 10 20 30 40 Vp -4 V- t (ms) Fig. 24(a)(ii): A discrete sinusoidal signal. (i) Determine the equation describing the voltage signal v(t) in Fig. 24(a)(i) and express it in the form v(t) = A cos(Bt+C) + D for some constants A > 0, B > 0, C > 0, and D > 0. (ii) If the RMS value of the squarewave signal û(t) in Fig. 24(a)(ii) and the sinusoidal signal v(t) in Fig. 24(a)(i) are to be equal, briefly explain whether the peak voltage V₂ of the squarewave signal should be larger, smaller, or equal in value compared to the peak voltage of the sinusoidal signal v(t). Note: It is not necessary to determine the exact value of V.

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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