**Problem Description:****1.** A periodic rectangular pulse train \( g(t) \) shown in Figure P1a has an amplitude \( A = 1 \text{V} \), period \( T_0 = 1 \text{ms} \), and pulse width \( \tau = 0.34 \text{ms} \). The time delay of \( g(t) \) is \( t_d = 0.25 \text{ms} \). This signal is applied to a circuit shown in Figure P1b. Let \( R = 1 \text{k}\Omega \), \( L = 80 \text{mH} \). \( H(\omega) = Y(\omega)/G(\omega) \). \( \omega_0 = 2\pi/T_0 \).**Graph Explanation:**- **Figure P1a:** This graph shows the waveform of \( g(t) \) as a periodic rectangular pulse train. The x-axis represents time \( t \) (in milliseconds), ranging from -2 ms to 2 ms. The y-axis represents \( g(t) \), with values showing high (1 V) and low (0 V) states which form a rectangular shape. The pulse width is 0.34 ms, with a period of 1 ms.**Circuit Diagram:**- **Figure P1b:** The circuit diagram shows an input \( g(t) \) applied to a series RL circuit with a resistor \( R = 1 \text{k}\Omega \) and an inductor \( L = 80 \text{mH} \). The output is \( y(t) \).**Tasks:**(a) Find the numerical values of \( g_{cn} \) and \( g_{\phi n} \) of \( f(t) \) for \( 0 \leq n \leq 3 \).(b) Find the transfer function \( H(s) = Y(s)/F(s) \) or \( H(\omega) = Y(\omega)/F(\omega) \).(c) Find the numerical values of \( |H(jn\omega_0)| \) and \( \angle H(jn\omega_0) \) for \( 0 \leq n \leq 3 \).(d) Find the numerical values of \( y_{cn} \) and \( y_{\phi n} \

The input to the given RL circuit is a periodic pulse waveform with the following…

1. A periodic rectangular pulse train g(t) shown in Figure Pla has amplitude A = 1V, period To = 1ms, and pulse width tau = 0.34ms. The time delay of g(t) is td = 0.25ms. This signal is applied to a circuit shown in Figure P1b. Let R = 1k2, L = 80mH. H(o) = Y()/G(@). wo = 2π/To. 0.5 g(t) 0 Figure Pla -2 -1.5 R ww -0.5 y (t) 20 t 0.5 1.5 2 x 10³ Figure P1b (a) Find the numerical values of gcn and gen of f(t) for 0 ≤ n ≤3. (b) Find the transfer function H(s) = Y(s)/F(s) or H(o) = Y(w)/F(w). (c) Find the numerical values of |H(jnwo) and ZH(jnwo) for 0 ≤n≤3. (d) Find the numerical values of ycn and y0n of y(t) for 0 ≤ n ≤3.

1. A periodic rectangular pulse train g(t) shown in Figure Pla has amplitude A = 1V, period To = 1ms, and pulse width tau = 0.34ms. The time delay of g(t) is td = 0.25ms. This signal is applied to a circuit shown in Figure P1b. Let R = 1k2, L = 80mH. H(o) = Y()/G(@). wo = 2π/To. 0.5 g(t) 0 Figure Pla -2 -1.5 R ww -0.5 y (t) 20 t 0.5 1.5 2 x 10³ Figure P1b (a) Find the numerical values of gcn and gen of f(t) for 0 ≤ n ≤3. (b) Find the transfer function H(s) = Y(s)/F(s) or H(o) = Y(w)/F(w). (c) Find the numerical values of |H(jnwo) and ZH(jnwo) for 0 ≤n≤3. (d) Find the numerical values of ycn and y0n of y(t) for 0 ≤ n ≤3.

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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