mws_ele_int_txt_romberg_examples

mws_ele_int_txt_romberg_examples - 07.05.1 Chapter 07.05...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: 07.05.1 Chapter 07.05 Romberg 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        Table 1 Values obtained for Trapezoidal rule. n Trapezoidal Rule 1 0.11489 2 0.99637 4 0.96969 8 0.97901 a) Use Richardson’s extrapolation formula to find the frequency. Use the 2-segment and 4-segment Trapezoidal rule results given in Table 1....
View Full 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 - Tampa.

Page1 / 4

mws_ele_int_txt_romberg_examples - 07.05.1 Chapter 07.05...

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