{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Physics 325 Homework 7

# Physics 325 Homework 7 - F rec t = F | sin ω f t | a...

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

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 + n =1 [ a n cos( nωt ) + b n sin( nωt )] can also be written as F ( t ) = 1 2 a 0 + 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
This is the end of the preview. Sign up to access the rest of the document.

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

{[ snackBarMessage ]}

Ask a homework question - tutors are online