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: 30

Answer

a. $150000\ \Omega $. b. $900000\ \Omega.$ c. $600000\ \Omega.$ d. $ 300000\ \Omega$.

Work Step by Step

a. The black fourth band indicates a tolerance of $\pm 20\%$. $$20\% \times 750000\Omega = (0.20)(750000\Omega) =150000\ \Omega .$$ That is, the tolerance is $150000\ \Omega $. b. The upper limit is $$750000\ \Omega + 150000\ \Omega=900000\ \Omega.$$ c. The lower limit is $$750000\ \Omega - 150000\ \Omega=600000\ \Omega.$$ d. The tolerance interval is then $$ 900000\ \Omega-600000\ \Omega= 300000\ \Omega .$$
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