Fundamentals of Physics Extended (10th Edition)

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

Chapter 24 - Electric Potential - Problems - Page 712: 32b

Answer

$V=18 \mathrm{~V}$

Work Step by Step

Now $r=\sqrt{x^2+d^2}$ where $d=0.15 \mathrm{~m}$, so that $ V=\frac{1}{4 \pi \varepsilon_0} \int_0^{0.20} \frac{b x d x}{\sqrt{x^2+d^2}}=\left.\frac{b}{4 \pi \varepsilon_0}\left(\sqrt{x^2+d^2}\right)\right|_0 ^{0.20}\\=18 \mathrm{~V} $
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