(a) Explanation Given Info: The magnetic field perpendicular to the vessel is B . The speed of blood flow is v . The parallel conducting slabs whose diameter of thickness of the vessel is d . Refer figure.1. The blood flow through the vessel as a series of parallel conduction slabs whose thickness is the diameter d of the vessel moving with speed v . The blood vessel is placed in a magnetic field B which is perpendicular to the vessel. Formula to calculate the potential difference across the parallel conduction slab is, V a b = E L E is the magnitude of electric field, L is the length of the vessel. Formula to calculate the electric field is, E = v B v is the speed of the blood flow in a vessel, B is the magnitude of uniform magnetic field. Substitute v B for E to find V a b . V a b = v B L (I) Since, the potential difference is equal to the motional electromotive force because the blood is flowing through the vessel (b) To determine The magnetic field need to produce a potential difference of 1 mV . (c) To determine To prove: The volume rate of flow R of the blood in a vessel is π ε ind d 4 B .

14th Edition

ISBN: 9780133969290

Author: Hugh D. Young, Roger A. Freedman

Publisher: PEARSON

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

Chapter 29, Problem 29.34E

(a)

To determine

To prove: The motional potential (εind) difference induced across the conductor is vBd.

(b)

To determine

The magnetic field need to produce a potential difference of 1 mV.

(c)

To determine

To prove: The volume rate of flow R of the blood in a vessel is πεindd4B.

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Chapter 29, Problem 29.33E

Chapter 29, Problem 29.35E

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Chapter 29 Solutions

University Physics (14th Edition)

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To prove: The motional potential ( ε ind ) difference induced across the conductor is v B d .

Solution Summary: The author explains that the motional potential difference induced across the conductor is vBd, hence proved.

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To prove: The motional potential (εind) difference induced across the conductor is vBd.

The magnetic field need to produce a potential difference of 1 mV.

To prove: The volume rate of flow R of the blood in a vessel is πεindd4B.

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Chapter 29 Solutions