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A solenoid 60 cm long & of radius 4cm has layers of windings 300 turns each. A 2 cm long wire of mass 2.5 g lies inside the solenoid near its center normal to its axis. Both solenoid 7 wire are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6A in the wire. What value of current in the windings of the solenoid can support the weight of wire.

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108.37 A

200 A

10 A

answer is A.

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Detailed Solution

Magnetic field inside solenoid

$B = μ_{0} n I$

$= 6 π \times 10^{- 4} I$

BIL = mg

$6 π \times 10^{- 4} \times I \times 6 \times 2 = 2.5 \times 10^{- 3}$

$I = 108.37 A$

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