A copper rod of length 0.84 m is lying on a frictionless table (see the drawing)

Question

A copper rod of length 0.84 m is lying on a frictionless table (see the drawing). Each end of the rod is attached to a fixed wire by an unstretched spring that has a spring constant of k = 78 N/m. A magnetic field with a strength of 0.14 T is oriented perpendicular to the surface of the table.

If the current is 14 A, by how much does each spring stretch?

___________m

A copper rod of length 0.84 m is lying on a frictionless table (see the drawing). Each end of the rod is attached to a fixed wire by an unstretched spring that has a spring constant of k = 78 N/m. A magnetic field with a strength of 0.14 T is oriented perpendicular to the surface of the table. If the current is 14 A, by how much does each spring stretch? ___________m

Explanation / Answer

2kx=L*(B x I) as springs are parallel

x= 0.84*0.14*14/(2*78) =0.0105 m

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