A solenoid 60 cm long and radius $4.0\;cm$ has 3 layers of winding of 300 turns each . A 2.0 cm long wire of mass $2.5 \;g$ inside the solenoid (near its center) normal to its axis, both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to the external battery which supplies a current of $6.0$ in the sense of circulation ) in the windings of the solenoid can support the weight of the wire $(g= 9.8 m/g^2)$
