Fundamentals of Physics Extended (10th Edition)

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

Chapter 16 - Waves-I - Problems - Page 478: 95c

Answer

$$0.040=4.0 \% $$

Work Step by Step

In terms of $R=(B / A)^{2}$ , we can rewrite SWR as $$ \operatorname{SWR}=\frac{A+B}{A-B}=\frac{1+(B / A)}{1-(B / A)}=\frac{1+\sqrt{R}}{1-\sqrt{R}} \Rightarrow R=\left(\frac{\mathrm{SWR}-1}{\mathrm{SWR}+1}\right)^{2} $$ $$\text { With } \mathrm{SWR}=1.50, \text { we obtain } $$ $$ R=\left(\frac{\mathrm{SWR}-1}{\mathrm{SWR}+1}\right)^{2}=\left(\frac{1.50-1}{1.50+1}\right)^{2}=0.040=4.0 \% $$
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