Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 27 - Current and Resistance - Exercises and Problems - Page 764: 50

Answer

The blood resistivity is 1.39Ωm

Work Step by Step

Find the resistance of the given portion of blood, $V=IR$ $9.0 V= 230\mu A \times R$ $R= 39.1$ $kΩ$ $R=\frac{\rho l}{A}$ $\rho=\frac{RA}{l}$ Area of the vein = $π(\frac{d}{2})^{2} = π(1.5 mm)/2)^{2} = 1.75 \times 10^{-6} m^{2}$ Substitute values in above equation to find resistivity $\rho=\frac{(39.1 \times 10^{3})(1.75 \times 10^{-6} m^{2})}{5 \times 10^{-2}m} = 1.3935 Ωm \approx 1.39Ωm$
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