University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 31 - Alternating Current - Problems - Exercises - Page 1049: 31.70

Answer

Choice C.

Work Step by Step

Find the fluid resistance. $$R_A=\frac{\rho}{10a}=\frac{1\Omega \cdot m}{10(10^{-5}m)}=10^4 \Omega$$ Find the capacitive reactance. $$X_C=\frac{1}{\omega C}=\frac{1}{(10^4 rad/s)(10^{-8}F)}= 10^4 \Omega $$ Find the overall impedance. $$Z=\sqrt{R^2+X_C^2}=\sqrt{(10^4 \Omega)^2+(10^4 \Omega)^2}$$ $$Z=\sqrt{2}(10^4 \Omega) $$
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