Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 26 - Current and Resistance - Problems - Page 766: 21

Answer

$T=1.8\times10^3 C^\circ$

Work Step by Step

$R=\frac{V}{i}=\frac{2.9}{0.3}=9.7 ohm$ For tungsten, the temperature coefficient is $\alpha=4.5\times10^{-3}$ We know that $T-T_\circ=\frac{R-R_\circ}{\alpha R_\circ}$ $T=T_\circ+ \frac{R-R_\circ}{\alpha R_\circ}$ We plug in the known values to obtain: $T=20^\circ+ \frac{9.67-1.1}{(4.5\times10^{-3})(1.1)}$ $T=1751 C^\circ$ $T=1.8\times10^3 C^\circ$
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