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In Fig. 28-44, a metal wire of mass m 24.1 mg can slide

Chapter , Problem 46

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QUESTION:

In Fig. 28-44, a metal wire of mass m 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by distance d ! 2.56 cm. The track lies in a vertical uniform magnetic field of magnitude 56.3 mT. At time t ! 0, device G is connected to the rails, producing a constant current i ! 9.13 mA in the wire and rails (even as the wire moves). At t ! 61.1 ms, what are the wires (a) speed and (b) direction of motion (left or right)?

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QUESTION:

In Fig. 28-44, a metal wire of mass m 24.1 mg can slide with negligible friction on two horizontal parallel rails separated by distance d ! 2.56 cm. The track lies in a vertical uniform magnetic field of magnitude 56.3 mT. At time t ! 0, device G is connected to the rails, producing a constant current i ! 9.13 mA in the wire and rails (even as the wire moves). At t ! 61.1 ms, what are the wires (a) speed and (b) direction of motion (left or right)?

ANSWER:

Problem 46

In the figure, a metal wire of mass m=24.1 mg can slide with negligible friction on two horizontal parallel rails separated by distance d=2.56 cm. The track lies in a vertical uniform magnetic field of magnitude 56.3 mT. At time t=0, device G is connected to the rails producing a constant current i=9.13 mA in the wire and rails (even as the wire moves). At t=61.1 ms, what are the wires

(a) Speed and

(b) Direction of motion (left or right)?

                                                        Step by Step Solution

Step 1 of 2

The mass of wire is .

The distance between rails is .

The magnitude of magnetic field is .

The current in the rails is .

The final time for which speed has to be calculated is .

The diagram of the metal wire is shown as,

The magnetic force acting on wire is given as,

For ,  and ,

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