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23 Nov 2019

A conducting rod 1.2m pivoted at the end is rotating at constant frequency 25Hz. If the magnetic field is 0.125T what is the electromotive force induced between the end of the rods?

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Beverley Smith
Beverley SmithLv2
23 Nov 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

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A conducting rod is moving through a magnetic field, as in the drawing. The magnetic field strength is 0.65 T, and the speed of the rod is 5.6 m/s. Suddenly, the field strength decreases to 0.48 T. To what value must the speed v of the rod be adjusted to reestablish the emf induced between the ends of the rod at its initial value?

A conducting rod of length l is rotated in a uniform magnetic field of induction B with an angular velocity with its plane perpendicular to the field.  Then the emf induced between its two ends of the rod is?

 

 

Faraday's law describes how electric fields and electromotive forces are generated from changing magnetic fields. This problem is a prototypical example in which an increasing magnetic flux generates a finite line integral of the electric field around a closed loop that surrounds the changing magnetic flux through a surface bounded by that loop. A cylindrical iron rod with cross-sectional area is oriented with its symmetry axis coincident with the z axis of a cylindrical coordinate system as shown. It has a uniform magnetic field inside that varies according to  .

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1. Find  , the electromotive force (EMF) around a loop that is at distance R from the z axis, where R is restricted to the region outside the iron rod as shown. Take the direction shown in the figure as positive

2. Due to the cylindrical symmetry of this problem, the induced electric field   can depend only on the distance R from the z axis, where R is restricted to the region outside the iron rod. Find this field

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