A rectangular loop with width L and a slide wire with mass

Chapter 29, Problem 29.61

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QUESTION:

A rectangular loop with width  and a slide wire with mass  are as shown in Fig. P29.61. A uniform magnetic field  is directed perpendicular to the plane of the loop into the plane of the figure. The slide wire is given an initial speed of  and then released. There is no friction between the slide wire and the loop, and the resistance of the loop is negligible in comparison to the resistance  of the slide wire. (a) Obtain an expression for , the magnitude of the force exerted on the wire while it is moving at speed . (b) Show that the distance  that the wire moves before coming to rest is .

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QUESTION:

A rectangular loop with width  and a slide wire with mass  are as shown in Fig. P29.61. A uniform magnetic field  is directed perpendicular to the plane of the loop into the plane of the figure. The slide wire is given an initial speed of  and then released. There is no friction between the slide wire and the loop, and the resistance of the loop is negligible in comparison to the resistance  of the slide wire. (a) Obtain an expression for , the magnitude of the force exerted on the wire while it is moving at speed . (b) Show that the distance  that the wire moves before coming to rest is .

ANSWER:

Step 1 of 5

Given data:

Width of the rectangular loop is

Mass of the slide wire is

Uniform magnetic field is

Initial speed of the slide wire is

Resistance of the slide wire is

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