Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 4 - Section 4.8 - Color Code of Electrical Resistors - Exercise - Page 197: 26

Answer

a. $0.29\ \Omega $ b. $6.09\ \Omega.$ c. $ 5.51\ \Omega.$ d. $0.58\ \Omega$

Work Step by Step

a. The gold fourth band indicates a tolerance of $\pm 5\%$. $$10\% \times 5.8\Omega = (0.05)(5.8\Omega) =0.29\ \Omega .$$ That is, the tolerance is $0.29\ \Omega $. b. The upper limit is $$5.8\ \Omega +0.29\ \Omega=6.09\ \Omega.$$ c. The lower limit is $$5.8\ \Omega-0.29\ \Omega=5.51\ \Omega.$$ d. The tolerance interval is then $$ 6.09 \ \Omega-5.51\ \Omega= 0.58\ \Omega .$$
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