   Chapter 19, Problem 32P

Chapter
Section
Textbook Problem

A metal rod of mass m carrying a current I glides on two horizontal rails a distance d apart. If the coefficient of kinetic friction between the rod and rails is μk, what vertical magnetic field is required to keep the rod moving at a constant speed?

To determine
The vertical magnetic field required to keep the rod moving at constant speed.

Explanation

Given info: The mass of the metal rod is m . The current on the rod is I . The distance between the two horizontal rail is d . The coefficient of kinetic friction between the rod and the rail is μk .

Explanation:

The system is shown in the following diagram

The magnitude of the magnetic force on a current carrying wire is given by,

Fm=BIlsinθ

• B is the magnetic field
• I is the current on the wire
• l is the length of the wire
• θ is the angle between the direction of current and the magnetic field

The direction of the magnetic field and the direction of the current are perpendicular to each other

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