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: 29

Answer

a.  $3.5~\Omega$. b. $73.5~\Omega$. c.  $66.5~\Omega$. d.  $7~\Omega$.

Work Step by Step

a. The gold fourth band indicates a tolerance of $\pm 5\%$. $$5\% \times 70\Omega = (0.05)(70\Omega) =3.5\ \Omega .$$ That is, the tolerance is $3.5\ \Omega $. b. The upper limit is $$70\ \Omega + 3.5\ \Omega=73.5\ \Omega.$$ c. The lower limit is $$70\ \Omega - 3.5\ \Omega=66.5\ \Omega.$$ d. The tolerance interval is then $$ 73.5\ \Omega-66.5\ \Omega= 7\ \Omega .$$
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