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Two vertical parallel rails made of material that is an electrical conductor are

ID: 1376630 • Letter: T

Question

Two vertical parallel rails made of material that is an electrical conductor are 80.0 mm apart in (Figure 1). A wire 80.0 mm long is free to slide along the rails, and the rails allow a current to be maintained through the wire as it slides. An external magnetic field of magnitude 0.250 T is directed into the figure.

Two vertical parallel rails made of material that is an electrical conductor are 80.0 mm apart in (Figure 1). A wire 80.0 mm long is free to slide along the rails, and the rails allow a current to be maintained through the wire as it slides. An external magnetic field of magnitude 0.250 T is directed into the figure. If the mass of the wire is 4.00 g, what is the current in the wire if the wire doesn't fall under gravity? Express your answer to two significant digits and include the appropriate units.

Explanation / Answer

External magnetic field of magnitude B = 0.250 T

Length of th ewire L = 80 mm

                                = 80 x 10 -3 m

mass of the wire m = 4 g

                               = 4 x 10 -3 kg

If force on wire due to magnetic field is equal to weight then wire doesnot fall

i.e., force on wire due to magnetic field = weight of the wire

                                             BiL = mg

From this current i = mg / BL

                             = 1.96 A

For two significant figures i = 2 A