   Chapter 19, Problem 31P

Chapter
Section
Textbook Problem

Consider the system pictured in Figure P19.31. A 15-cm length of conductor of mass 15 g, free to move vertically, is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. When a 5.0-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and under what condition is the wire able to move upward at constant velocity? (b) Find the magnitude and direction of the minimum magnetic field required to move the wire at constant speed. (c) What happens if the magnetic field exceeds this minimum value? (The wire slides without friction on the two vertical conductors.) Figure P19.31

a)

To determine
The forces acting on the horizontal wire and under what condition the wire will move upward with constant force.

Explanation

Given info: The length of the horizontal conductor is 15cm . The mass of the wire is 15g . The current in the vertical as well as the horizontal conductor is 15A . The uniform magnetic field acts perpendicular to the page.

Explanation:

The following diagram shows the given system of conductor,

b)

To determine
The magnitude and direction of the minimum magnetic field required to move the wire at constant speed.

c)

To determine
What happens if the magnetic field exceeds the minimum value.

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