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Question: A closely wound solenoid of 750 turns and area of cross section of 5 x 10-4 m2 carries a current of ...

A closely wound solenoid of 750 turns and area of cross section of 5 x 10-4 m2 carries a current of 3.0 A. Its associated magnetic moment is

A

4.12 J T -1

B

3.12 J T-1

C

2.12 J T-1

D

1.13 J T-1

Answer

1.13 J T-1

Explanation

Solution

: Here, n = 750 turns,

Then, magnetic moment,

m=nIA=750×3×5×104=11250×104\mathrm { m } = \mathrm { nIA } = 750 \times 3 \times 5 \times 10 ^ { - 4 } = 11250 \times 10 ^ { - 4 }

=1.125 J T1= 1.125 \mathrm {~J} \mathrm {~T} ^ { - 1 }

=1.13JT1= 1.13 \mathrm { JT } ^ { - 1 } along the axis of solenoid.