4. Consider the following function: f(t) = 3je-18t + cos(4πt) + 6+³ 18t j (a) What is Im{f(t)}? (b) What is Re{f(t)}? (c) Assume the period of f(t) is T = 1. What is the fundamental frequency? (d) What are the coefficients a, a, and b, in the Fourier series expansion 80 f(t) = a₁ + [(a,cos(2¹ t) + b„sin(27²t)) n=1 (e) What are the coefficients in the expansion f(t) = Σ ce(7) ME.

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4. Consider the following function:
f(t) = 3je-j8nt + cos(4ñt) + 6+3 18nt
(a) What is Im{f(t)}?
(b) What is Re{f(t)}?
(c) Assume the period of f(t) is T = 1. What is the fundamental frequency?
(d) What are the coefficients a,, an, and b, in the Fourier series expansion
f(t) = a₁ + Σ (a, cos(27¹t) + b„sin(27¹t))
n=1
(e) What are the coefficients in the expansion
∞0
f(t) = [c₂e³ (²7)
11=-00
Transcribed Image Text:4. Consider the following function: f(t) = 3je-j8nt + cos(4ñt) + 6+3 18nt (a) What is Im{f(t)}? (b) What is Re{f(t)}? (c) Assume the period of f(t) is T = 1. What is the fundamental frequency? (d) What are the coefficients a,, an, and b, in the Fourier series expansion f(t) = a₁ + Σ (a, cos(27¹t) + b„sin(27¹t)) n=1 (e) What are the coefficients in the expansion ∞0 f(t) = [c₂e³ (²7) 11=-00
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