mws_ele_int_txt_gaussquadrature_examples - Chapter 07.06...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
07.06.1 Chapter 07.06 Gauss Quadrature Rule for Integration-More Examples Electrical Engineering Example 1: All electrical components, especially off-the-shelf components do not match their nominal value. Variations in materials and manufacturing as well as operating conditions can affect their value. Suppose a circuit is designed such that it requires a specific component value, how confident can we be that the variation in the component value will result in acceptable circuit behavior? To solve this problem a probability density function is needed to be integrated to determine the confidence interval. For an oscillator to have its frequency within 5% of the target of 1 kHz, the likelihood of this happening can then be determined by finding the total area under the normal distribution for the range in question:  dx e x 2 9 . 2 15 . 2 2 2 1 1 a) Use two-point Gauss quadrature rule to find the frequency. b) Find the absolute relative true error. Solution a) First, change the limits of integration from   9 . 2 , 15 . 2 to   1 , 1 using 9 . 2 15 . 2 b a
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida.

Page1 / 3

mws_ele_int_txt_gaussquadrature_examples - Chapter 07.06...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online