Physics 325 Homework 7 - F rec ( t ) = F | sin f t | . a)...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Physics 325, Fall 2010 Homework Assignment #7 Due Thursday 21 October at 11:15 am 1) (10 points) Show that the Fourier series F ( t ) = 1 2 a 0 + X n =1 [ a n cos( nωt ) + b n sin( nωt )] can also be written as F ( t ) = 1 2 a 0 + X n =1 [ c n cos( nωt - φ n )] . Express the coefficients c n and the phase angles φ n in terms of the coefficients a n and b n 2) (25 points) A full-wave rectifier acting on a sinusoidal function of the form F ( t ) = F 0 sin ω f t (with F 0 > 0) will produce the rectified function
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: F rec ( t ) = F | sin f t | . a) Obtain a Fourier series representation of the rectied function F rec ( t ) = F | sin f t | . b) Find the steady-state solution for an undamped ( = 0) harmonic oscillator subject to the driving force specied in part a), with f = = q k/m , the natural frequency of the oscillator. 35 Points Total...
View Full Document

This note was uploaded on 10/06/2011 for the course PHYS 325 taught by Professor Staff during the Fall '08 term at University of Illinois, Urbana Champaign.

Ask a homework question - tutors are online